Answers
Answer:
a. y=4
b. graph the given and y=4
Step-by-step explanation:
The given is y= 8 sin(x) cos(x)
to get y' which is the slope of the tangent line we take the derivative
for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')
thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))
-8sin^2(x)+8cos^2(x)
You can also leave the 8 differentiated out depending on the form you need.
Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point
=8sin^2(pi/4)+8cos^2(pi/4)
this would equal -8*1/2 +8*1/2 which equals 0
the slope of the tangent at this point would be zero
To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)
this means the point slope equation would be
y-4=0(x-pi/4)
y-4=0
y=4
To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)
Related Questions
What is the quotient?
-2 1/8 divided by 1 1/4
Enter your answer as a mixed number, in simplified form.
Answers
Answer:
-1.7 or 1 7/10
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1
8
= 17
8
Unary minus: -17
8
Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1
4
= 5
4
Divide: -17
8
: 5
4
= -17
8
· 4
5
= -17 · 4
8 · 5
= -68
40
= -17
10
To divide one fraction by another, invert the second fraction, then multiply.
Find the equation of the exponential function represented by the table below:
0
2
1
4
2
8
3
16
Answers
9514 1404 393
Answer:
y = 2·2^x
Step-by-step explanation:
When the exponential function is of the form ...
y = a(b^x)
The value of 'a' is the value of y when x=0. The table tells us a = 2.
The value of 'b' is the ratio between values of y when their corresponding x-values differ by 1. The table tells us b = (4/2) = 2.
Then the exponential function describing the table is ...
y = 2(2^x)
Azizah got 1 for the slope of the line through points (1, 2) and
(4 - 1)
Explain to her the mistake she
made and how to find the
slope correctly.
Answers
Answer:
I hope it help you
Step-by-step explanation:
btw thanks for the points
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's find slope (m) :
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{2 - ( - 1)}{1 - 4} [/tex][tex] \dfrac{3}{ - 3} [/tex][tex] - 1[/tex]slope of the line is -1, so Azizah got it wrong.
-4y = -x + 18. find the points
Answers
Answer:
not sure please elaborate your question more.
Step-by-step explanation:
Which expression is equivalent to -3(4x-0.50)
–12x – 1.50
–12x + 1.50
–12x – 2.50
–12x – 3.50
Answers
Answer:
B.) –12x + 1.50
Step-by-step explanation:
For students for parents for teachers Honor code Brainly what is the value of the angle of the color of the number divided by the donut you ate earlier
Answers
Answer:
wgdhqbdhbhjx
Step-by-step explanation:
djwefhejidehjeicbj
hbdahbcdhicb
cdhigcuyhbcdidbchbhcbdhc
dhcidicbhbchudnhicenibchiudbcui
dihcbhibchinciniheucdcnunc
Identify the function shown in this graph.
A.y=-x+3
B. y=-5x + 3
C. y=-5x-3
D. y = 5x - 3
Answers
Let (x1, y1) = (0, 3)
(x2, y2) = (1, -2)
Use the slope formula and substitute the values:
m = (y2 - y1)/(x2 - x1)
m = (-2 - 3)/(1 - 0)
m = -5/1 or -5.
Therefore, the slope (m) = -5.
The y-intercept (b) is the point on the graph where it crosses the y-axis, and has coordinates (0, b). Looking at the graph, the y-intercept occurs at (0, 3). Therefore, the y-intercept (b) = 3.
Therefore, the linear function of the graph is y = -5x + 3.
The correct answer is B: y = -5x + 3.
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
-8(6+X) + 4(2x + 7) = 0
Answers
Answer:
-20 = 0
Step-by-step explanation:
-8 (6 + x) + 4 (2x + 7) = 0
-48 - 8x + 8x + 28 = 0
-20 = 0
Write the point slope form of a line that passes through (1,-5) and is perpendicular to a line with a slope of 1
Answers
Answer:
y + 5 = -1 (x - 1)
Step-by-step explanation:
y = -1
y + 5 = -1 (x - 1)
Solve four-tenths plus four ninths
Answers
Answer:
[tex]\frac{38}{45}[/tex]
Step-by-step explanation:
[tex]\frac{4}{10} +\frac{4}{9}[/tex]
So first you need to have a common denominator (the number on the bottom)
The least common denominator (LCD) would be 90.
So then the fractions would be: [tex]\frac{36}{90} +\frac{40}{90}[/tex].
Add.
You get: [tex]\frac{76}{90}[/tex]
Simplify and the answer is [tex]\frac{38}{45}[/tex]
9n - 16 -1 + 3n Pls help
Answers
Answer:
17/12
Step-by-step explanation:
12n-17=0
12n=17
n=17/12
Please help me answer this question
Answers
Answer:
option D is right answer
i.e. _
BC
Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
<
Answers
Answer:
Am how should we answer this
Need helppppppppppppppppppppppppppppppppp
Answers
explanation:
first, it’s important to remember that all angles of a triangle equal 180 degrees. so, subtract 50 from 180 = 130. that means that the last two angles combined equal 130. next, it’s important to remember that a straight line is equal to 180 degrees. since you know that 120 out of that 180 degrees is shown, 180-120 = 60. that means that the bottom angle of the triangle is 60. 60+50 = 110. 180-110= 70. so, that last angle is equal to 70 degrees. hope this helped!!
A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answers
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
Referring to the figure, the spinner is divided
into equal parts. What is the probability that the
spinner stops on a number whose ones digit is 2?
Answers
Answer:
1/6 is the probability.
There are only 2 out of 12 options that have a 2 at the one's place(2/12), which can be simplified into 1/6
Maureen paid 198.75 for a stereo system, plus a sales tax of 15.90. approximately what is the sales tax percent?
How to solve??
Answers
Answer:
The answer to your question is 13.5%
Step-by-step explanation:
Ken used 3/4 of his wrapping paper. If he used 12 feet how much wrapping paper did he use
Answers
Answer: If Ken used 12 feet of wrapping paper, 3/4 then he would have had 16 ft of wrapping paper before he started wrapping
Step-by-step explanation:
12 divided by 3 is 4 giving us the equation 4/4 equals 4 x 4
Please help! Only answer if correct :)!!
Answers
Answer:
x....y
0....-9
-9...0
Solution:
Draw a line thru the 2 points.
Do the same for the other eqn. Where they incersect is the solution.
Here's the solution in attachment
Product of 3 x 2/3 is 3 true or false
Answers
Answer:
falseeeee
Step-by-step explanation:
im smart lol ight so so
3/1 · 2/3
3 times 2=6
6/3=2 not 3 my dude
What is the lcm of the numbers below will give you brainleist
Answers
i took this exam and the answer is c.25,200
If g(3) = 5 and g(-1) = 5, explain why g(x) does not have an inverse.
Answers
g(x) cannot have an inverse because it gives the same output value for two individual input values.
In this case, g(x) is 5 when x is both 3 and -1. Hence, g(x) does not have an inverse.
Let me know if you have any questions, thanks!
right i sucks at all school so what is a 0.0000343 in standard form????????????
Answers
Answer:
3.43x10^-5
Step-by-step explanation:
the entrance to the hotel
Answers
Answer:
Hotel Mario
Step-by-step explanation:
What is 12 14/15 ( an mixed number) as a decimal.
Answers
answer: 11.2
explanation:
Which property can be used to show that if 3a = 4b, then 4b = 3a?
Multiple choice question.
A)
Symmetric Property of Equality
B)
Reflexive Property of Equality
C)
Substitution Property of Equality
D)
Transitive Property of Equality
Answers
Answer:
Hello your answer should be A symmetric property
Step-by-step explanation:
hope this helps
Symmetric property of equality to show that 3a = 4b, then 4b = 3a?
What is symmetric property of equality?The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other
We have the following information available from the question is:
We have to determine the which property can be used to show that if 3a = 4b, then 4b = 3a
Now, According to the question:
3a = 4b
4b = 3a (both are equal)
This property is used to simplify the equations, to reverse the equations, and also for proofs in numerical and non-numerical logic.
Learn more about Symmetric property of equality at:
https://brainly.com/question/29206759
#SPJ3
find the slope -1/2 1/2 -2 2
Answers
Answer:
the slope: 2
Equation : y=2x-4
Answer:
-2
Step-by-step explanation:
use the rise over run equation: your rise is 8 and your run is -4
your first y is 4 and your second y is -4: 4 - (-4) is 8
your first x is -4 and you second x is 0; -4 - 0 is -4
dividing 8 by -4 will give you -2, which is your slope
Rectangle ABCDA has a perimeter of 54 Inches and a length that is twice the width. Which equation
A.54-2W
B.54=3w
C.54=5w
D.54-6w
Answers
Answer:
54 = 6x
Step-by-step explanation:
PLEASE HELP ASAP! NO JOKE OR SCAM ANSWERS!! FULL ANSWERS ONLY!!!
Joy recently hired a mechanic to do some necessary work. On the final bill, Joy was charged a total of $991. The amount listed for parts was $475 and the rest of the bill was for labor. If the hourly rate for labor was $43, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was _____________
Answers
Answer:
12 hoursStep-by-step explanation:
Given:
The total amount = $991Cost of parts = $475Hourly labor rate = $43Number of hours = x(A)
The equation:
y = 43x + 475(B)
Solve for x:
43x + 475 = 99143x = 991 - 47543x = 516x = 516/43x = 12If Lisa were to paint her living room alone, it would take 3 hours. Her sister Rachel could do the job in 4 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answers
Answer:
12/7 hoursStep-by-step explanation:
Lisa's rate is 1/3 of job per hour
Rachel's rate is 1/4 of job per hour
Their rate if worked together:
1/3 + 1/4 = 4/12 + 3/12 = 7/12 per hourJob will be done in:
1 : (7/12) = 12/7 hours