Calculus, derivatives. Please help! Show work, if possible. Thanks! :)

Calculus, Derivatives. Please Help! Show Work, If Possible. Thanks! :)

Answers

Answer 1

[tex]y = x + \pi[/tex]

Step-by-step explanation:

We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that

[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]

and

[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]

To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as

[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]

Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is

[tex]y = x + \pi[/tex]

The graph of the two functions is shown above.

Calculus, Derivatives. Please Help! Show Work, If Possible. Thanks! :)

Related Questions

Provide the missing statement and reasons for the following proof:

Answers

Answer:

I need more points

the picture is very blurry

PLEASE i need help, someone can help me ?!

Answers

I tried, but if its the wrong answer I am SUPER sorry. Seems a little difficult, but i do try to help

Which is the best definition of coefficient?
A letter that represents an unknown value.
O A number that itinultiplied by a variable.
Operations that "undo" each other.
O A fixed value that does not change.

Answers

Answer:

A number multiplied by a variable.

Step-by-step explanation:

For example, 4 is a coefficient.

[tex]4x[/tex]

The first one, all you really have to do is look it up. or just look at your notes if you take any!

Hello can some one please help me

Answers

Answer:

1

Step-by-step explanation:

This one once learned is clapz. Anything to the zero power is 1. ;)

The answer is 1!!!!!!!!!!!!!

how do you solve the following equation?

10-s=34

Answers

Answer:

-24

Step-by-step explanation:

10-s=34

collect like terms

10-34=s

s=-24

Watch help video
Christian is driving on a long road trip. He currently has 12 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 6 hours? How much gas would be left after t hours?
Gas left after 6 hours:
Gas left after t hours:
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
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Answers

Answer:

Gas left after 6 hours: 4.5 gallons

Step-by-step explanation:

multiply 1.25 by 6 which will be 7.50

then subtract 7.50 from 12 which will be 4.50

i think :)

26-14-(-6)+(-7)-11

Please help

Answers

[tex] = 26 - 14 - ( - 6) + ( - 7) - 11 \\ = 26 - 14 + 6 - 7 - 11 \\ = 26 + 6 - 14 - 7 - 11 \\ = 32 - 14 - 7 - 11 \\ = 0[/tex]

Answer:

0

Step-by-step explanation:

G

E

M

D

A

S

26 - 14 - (-6) + (-7) - 11

26 - 14 = 12

12 - (-6) + (-7) - 11

12 - 1 = 11

11 - 11 = 0

In the equation 3x=36+9 what is the next step in the equation solving sequence

Answers

Answer:

First step: Combine like terms, Answer: [tex]x=15[/tex]

Step-by-step explanation:

First, we need the variable on the left side and constants on the right.

So, we combine like terms to get [tex]3x=36+9=45[/tex].

Then, we can divide both sides by [tex]3[/tex] to isolate the variable and get [tex]\boxed{x=15}[/tex].

find the distance between the points
a)(-1,4,3)and(2,2,-3)​

Answers

Answer:

a) point a start with negative but point b) start with positive

A history teacher has given her class a list of seven essay questions to study before the next test. The teacher announced that she will choose four of the seven questions to give on the test, and each student will have to answer three of those four questions. Suppose that a student has enough time to study only five questions. What is the probability that the student will have to answer a question that he or she did not study?

Answers

suppose that a student has enough time to study only five questions

From a random sample of 92 male students at Hope College, 8 were left-handed. Using the Theory Based Inference applet, determine a 99% confidence interval for the proportion of all male students at Hope College that are left -handed.​

Answers

Answer:

mkkkmnsine kgsk jtb jgjdb Geeta kl John ku

find the measure of the missing angels

Answers

Answer:

45

Step-by-step explanation:

First add the angles given: 85+50=135

Since all the angles of a triangle combined have to equal 180, you can subtract it from 180.

180-135=45

So your answer would be 45.

Hope this helps :)

A 5-k race is 5 kilometers long. How long is it in millimeters?

Answers

Answer: 1 kilometer = 1,000,000 millimeters so multiply that times 5 and you have your answer 5,000,000 millimeters.

If you can clean 1/6 of your bedroom in 15 minutes, what is your rate per hour?

Answers

2/3 per hour. 15 min x 4 = 1 hour. 1/6 x 4 = 4/6. Simply 4/6 = 2/3

compare the expressions
3 X 10 and 15 x 20 without multiplying them. Explain how she
could compare the factors to compare the expressions without
multiplying them.

Answers

Answer:

yes

Step-by-step explanation:

Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.

5*2 is 10, which means that 15*20 is 10 times greater than 3*10.

If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.

what is the mean of the frequency distribution?

Answers

Answer:

[tex]mean = \frac{ \sum \: xf}{n} \\ \frac{(27 \times 2) + (28 \times 4) + (29 \times 3) + (31 \times 5) + (33 \times 6)}{(2 + 4 + 3 + 5 + 6)} [/tex]

Estimate to decide if the sum of 314+175 is more or less than 600?

Answers

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

A kayak rental pavilion charges $15.00 per hour and $2.50 for a brief lesson on kayak safety. The total cost y to rent the kayak for x hours is given by y = 15x + 2.5. Interpret the slope and y-intercept.​

Answers

Answer:

Step-by-step explanation:

The shape to the left shows an unfolded cube if the cube is folded and rolled what are all the possible outcomes are they all equally likely?

PLZ HELP

Answers

Answer:a

Step-by-step explanation:

A

The value of 1x10 when x = -2, can be
written in simplest form as a36, where
a=
and b=
DONE

Answers

Answer 8

Step-by-step explanation:

What is the length of segment AB?

A. 5
B. 6
C. 8
D. 10

Answers

AB = 10

Step-by-step explanation:

AB² = (6 - 0)² + (10 - 2)²

AB² = 6² + 8²

AB² = 36 + 64

AB² = 100

AB² = 10²

AB = 10

What is cos(317)? explain how I would get that solution without using a calculator please. Correct answer gets BRAINLIEST!!

Answers

Answer:

Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV

In the fourth quadrant, the values for cos are positive only.

317 is an obtuse angle since it is greater than 90°

cos(317) = 0.73135369730756

Step-by-step explanation:

Help help pelesse please

Answers

Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Identify the unit rate in the graph.
A) 40 mph
B) 75 mph
C) 50 mph
D) 25 mph

Answers

C)50mph

speed= distance÷time

so ....

we find how much 25 miles took therefore we do

25÷0.5

which is

=50

Hope this helped you, have a good day bro cya)

Answer:

fast

Step-by-step explanation:

historical definition

Italian physicist Galileo Galilei is usually credited with being the first to measure speed by considering the distance covered and the time it takes. Galileo defined speed as the distance covered per unit of time.[3] In equation form, that is

{\displaystyle v={\frac {d}{t}},}v={\frac  {d}{t}},

where {\displaystyle v}v is speed, {\displaystyle d}d is distance, and {\displaystyle t}t is time. A cyclist who covers 30 metres in a time of 2 seconds, for example, has a speed of 15 metres per second. Objects in motion often have variations in speed (a car might travel along a street at 50 km/h, slow to 0 km/h, and then reach 30 km/h).

Instantaneous speed

Speed at some instant, or assumed constant during a very short period of time, is called instantaneous speed. By looking at a speedometer, one can read the instantaneous speed of a car at any instant.[3] A car travelling at 50 km/h generally goes for less than one hour at a constant speed, but if it did go at that speed for a full hour, it would travel 50 km. If the vehicle continued at that speed for half an hour, it would cover half that distance (25 km). If it continued for only one minute, it would cover about 833 m.

In mathematical terms, the instantaneous speed {\displaystyle v}v is defined as the magnitude of the instantaneous velocity {\displaystyle {\boldsymbol {v}}}{\boldsymbol {v}}, that is, the derivative of the position {\displaystyle {\boldsymbol {r}}}{\boldsymbol {r}} with respect to time:[2][4]

{\displaystyle v=\left|{\boldsymbol {v}}\right|=\left|{\dot {\boldsymbol {r}}}\right|=\left|{\frac {d{\boldsymbol {r}}}{dt}}\right|\,.}v=\left|{\boldsymbol  v}\right|=\left|{\dot  {{\boldsymbol  r}}}\right|=\left|{\frac  {d{\boldsymbol  r}}{dt}}\right|\,.

If {\displaystyle s}s is the length of the path (also known as the distance) travelled until time {\displaystyle t}t, the speed equals the time derivative of {\displaystyle s}s:[2]

{\displaystyle v={\frac {ds}{dt}}.}v={\frac  {ds}{dt}}.

In the special case where the velocity is constant (that is, constant speed in a straight line), this can be simplified to {\displaystyle v=s/t}v=s/t. The average speed over a finite time interval is the total distance travelled divided by the time duration.

Average speed

Different from instantaneous speed, average speed is defined as the total distance covered divided by the time interval. For example, if a distance of 80 kilometres is driven in 1 hour, the average speed is 80 kilometres per hour. Likewise, if 320 kilometres are travelled in 4 hours, the average speed is also 80 kilometres per hour. When a distance in kilometres (km) is divided by a time in hours (h), the result is in kilometres per hour (km/h).

Average speed does not describe the speed variations that may have taken place during shorter time intervals (as it is the entire distance covered divided by the total time of travel), and so average speed is often quite different from a value of instantaneous speed.[3] If the average speed and the time of travel are known, the distance travelled can be calculated by rearranging the definition to

{\displaystyle d={\boldsymbol {\bar {v}}}t\,.}d={\boldsymbol  {{\bar  {v}}}}t\,.

Using this equation for an average speed of 80 kilometres per hour on a 4-hour trip, the distance covered is found to be 320 kilometres.

Expressed in graphical language, the slope of a tangent line at any point of a distance-time graph is the instantaneous speed at this point, while the slope of a chord line of the same graph is the average speed during the time interval covered by the chord. Average speed of an object is Vav = s÷t

Difference between speed and velocity

Speed denotes only how fast an object is moving, whereas velocity describes both how fast and in which direction the object is moving.[5] If a car is said to travel at 60 km/h, its speed has been specified. However, if the car is said to move at 60 km/h to the north, its velocity has now been specified.

The big difference can be discerned when considering movement around a circle. When something moves in a circular path and returns to its starting point, its average velocity is zero, but its average speed is found by dividing the circumference of the circle by the time taken to move around the circle. This is because the average velocity is calculated by considering only the displacement between the starting and end points, whereas the average speed considers only the total distance travelled.

Subtract 8 1/5 - 4 2/5
. Simplify the answer and write as a mixed number.

Answers

Answer:

3 4/5

Step-by-step explanation:

If 96 of the 224 participants in club activities are residents, what is the ratio of nonresidents to residents who participate in club activities? Write the ratio in lowest terms as a fraction or with a colon.

Pls help a girl out

Answers

first you subtract the 224 total people with the 96 residents to find the nonresidents which is 128 to 96 residents and that simplified is 4:3. So it is 4:3

Will mark brainlist
Simplify. 3/2(x+3/4)−(x+1)

5/2x+17/8

12x+17/8

1/2x+1/8

Answers

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

The table shows grade levels and heights of 6 students.
1
2
Grade
3
4
5
6
46
48
51
53
Height (in.)
56
59
Choose the correct item in each drop-down menu to complete the sentences.
Choose..
Choose...
The data shows
causation
correlation. The data

Answers

Answer:

its positive corelation and doesnt show causation

Step-by-step explanation:

Answer:

its positive correlation and cannot show causation

Step-by-step explanation:

Write the equation of the line in slope-intercept form. The line is parallel to y+x=3 and passes through the point (−12, 0).

Answers

y = -x + 3

y = -(x + 12)

y = -x - 12

Greatest common factor of 76 and 675

Answers

the greatest common factor of 76 and 675 is 1
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