For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y 2.

Q: -dx

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Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...

A: F(x)=fx6 and G(x)=fx6

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The given function,  f(x)=x2-3 ; 0,10

Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0

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Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f...

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,247. If ...

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Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from (a) shifting...

A: NOTE: Refresh your page if you can't see any equations. . the base function is  . the graph of y=f(...

Q: At what points is the following function continuous? 3 X-216 x#6, x# -6 x- 36 f(x) = 9, x= 6 4, x= -...

A: Explained below 

Q: Find the arc length of y = (x +4) + (x + 4)- for 1 < x < 2. (Give your answer to three decimal place...

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Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 2x2 + x; a = -8 ...

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Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: Consider the region R between y = sin x and the x-axis for 0 ≤x ≤π. (a) Find the volume of the solid...

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Q: 3) The solid S obtained by rotating the region below the graph of y = x about the x-axis for 1 < x <...

A: Given:     y = 1/x    Limit: 1 to infinity 

Q: Which among the following illustrates the limit of an identity function? O lim z = - 1 lim a = 1 I-1...

A: Given that: Limits of an identity function

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: sin() 8. n2 ilamsili n=1

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Q: Let f(x) = (- 3r- 9)* (6z² – 6)5 4 f'(x)=

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Q: f (x) = X+1 X-1 g(x) %3|

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Q: Find (without using a calculator) the absolute extreme values of the function on the given interval....

A: Absolute minimum = lowest value of the given function within the domain.   Absolute maximum = highes...

Q: f'(r)

A: Follow the procedure given below

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

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Q: 2 2.2 2.4 g' (x) 25 49 81 Let y = g (x) be the particular solution to the differential equation dy =...

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Q: f(x) = -3x³ + 8x – 5

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Q: The line : X - 3t, y = 1 - 2t, z = 2 - t is perpendicular to the plane: X - y - z = 1.[g]

A: Given that equation of line x=-3t ,y=1-2t ,z=2-t and equation of plane x-y-z=1To chaque the line and...

Q: dy Find the slope field of dr 6x using GeoGebra.

A: We have to find the slope field of dydx=6x using GeoGebra.

Q: 2. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

A: Given:      x = 2y - 2y2    Limit : 0 to 1

Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

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Q: Use a truth table to represent the following statement. Ensure that you explain the steps taken. Rox...

A: Given:     1.Roxanne, Sam and Thomas will attend the play if and only if Vince doesn’t attend,     2...

Q: QUESTION 1 Which is the best descriptor of the level curves for a function f(x.v)? a. A selection of...

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Q: V4 +x? xp

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Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: Given: - The function is, y=1+lnx3xand use a graphing utility to verify your result, To find: - The...

Q: X Cut 義Find 12.5 A A Aa - 令=,=,,三 T AaBbCcDc AaBbCcDc AaBbC AaBbCcC AABI AaBbccC AaBbCcD AaBbCcD Ari...

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Q: Let w(x, y, 2) = a? + y? + 2? where a = sin( – 9t), y = cos(- 6t), z = e". dw dæ dy dz by first find...

A: We have  W= x2+y2+z2  Where , x= sin(-9t) , y= cos(-6t), z= e3t  Find dx/dt, dy/dt, dz/dt and dw/dt 

Q: The number of females in law continues to show steady increases. The number of female lawyers in a c...

A: a. It is exponential function. b. F(30) =&gt;F(30)= .834* x^1.297               =.834*30^1.297      ...

Q: Compute the surface area of revolution about the x-axis over the interval [0, r] for y = 3 sin(x). (...

A: We need to find surface area.

Q: Consider the function f on [0,1] defined by f(x) = (t2 – t)dt. Is the function f (x) increasing or d...

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Q: Evaluate the following definite integral. |2x2 – 2x|dx

A: We have to find ∫-222x2-2xdx

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: cos -1

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Q: Evaluate the following indefinite integral + 1)Vx – 2dx

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Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

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Q: 1. ABC company charges its customers according to their usage of electricity. One rate it charges co...

A: Given that:Fixed charge = $6.00Energy charge per kwh for first 1000 kwh=$0.04Energy charge per kwh a...

Q: Sketch the graph of f(x) = x2 - 9, x =< 4 f(x) = 8x - 25, x =< 4 Is f(x) continuous at x=4? Expla...

A: To check: Whether the functions f(x) = x2 - 9, x≤4 and f(x) = 8x - 25, x≤4or not. . Solution: Sketch...

Q: Given f(x) = 250 e 0.04x solve f'(x) = 100. %3D X = (Round answer to nearest tenth.)

A: Given that: f(x)=250e0.04x