3. Given to the right is a contour diagram for a differentiable function h. Use the diagram to answer the questions that follow. (a) Estimate Vh(2, 1). Clearly demonstrate what you are doing to arrive at an answer.

Q: The volume V of a right circular cylinder of height h and radius r is V = r²h. If the height is four…

A: The objective of this question is to express the volume V of a right circular cylinder as a function…

Q: 4. (Refer to the graph of f below) For what value of x is f NOT differentiable? 2 -4 -3 -2 -1 4 1 2.

A: In a graph of f(x), if the curve is forming a sharp edge or sharp kink, then the function is NOT…

Q: A poster is to have an area of 180 in? with 1-inch margins at the bottom and sides and a 2-inch…

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Q: I. Consider the function defined by f (r, y) = V- y. 1. Find the domain and range of f. 2. Draw a…

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Q: 2 6. For the function(x) = 2x² approximate the slope of the tangent line at (1,2)

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Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: If possible, represent y as a differentiable function of x.                                    a. x2…

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Q: 2. Match the functions with its graph. y = Vx – 3 b. y = 3 vã c. y = v – 3 d. y = v-x+ 3

A: Part a,Given,         The function is y=x-3.

Q: 7. Find all inflection points for y=-2xe-x²/2, and determine the intervals where the function is…

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Q: ANSWER IN DETAIL

A: a.) Note: If the point P(0, -2) lies on the curve "y(x)", then, y(0) = -2. So, y(x) = 5x + 3sin(2x)…

Q: 5. This box has a length x and a width that is 4 times its length. The volume is 500 cm. Find a…

A: Given length is xWidth is 4 times length = 4*xVolume is 500 cm3We know that volume of a cuboid is…

Q: 4.) A car company introduces a new car for which the number of cars sold S is the function S(t)=300…

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Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, where t is…

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Q: The function x(t) = 0.5(t-0.5) (t-1)(t-5), where 0 ≤t≤ 6, describes the 1D motion of an object along…

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Q: Illustrate the following functions:. S(1, y) = 4 – x² – y², g(x, y); x² + y² What is the shape of…

A: given two functions fx,y=4-x2-y2gx,y=1x2+y2   now, we will draw the contour lines of each of them…

Q: 5. Find the value of x of which the function f(x) %3D 2x – 8 discontinues. Plot the curves.

A: Let's find.

Q: The function f graphed here consists of two straight line segments and two quarter circles. Find…

A: Consider the equation

Q: 1. The function f gives the discharge rate of the Kalamazoo river in m³/s as a function of x miles…

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Q: 7. Find a function so that the directional derivative is maximized when we go in the direction of…

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Q: 5. State the domain and the range of the tangent function.

A: Consider the tangent function Give the domain and range.   Since tan x=sin xcos x therefore, tangent…

Q: Find the y-intercept of the line tangent to the graph of f(x) = 4/æ at x = 9. O 4 Answer not listed…

A: Slope of tangent is obtained by differentiating the function f(x).

Q: 2. Select Show additional function. Graph y = 5(1 + 0.20)' along with y = 5(1-0.20). A. What do the…

A: Graph of y=5(1+0.20)t

Q: 1. Let f (x, y) = 3+ /1+x – y² a. Find f(0,0) b. Find the range of f. c. Find and sketch the domain…

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Q: Consider the function ?(?) = ?"#!"#" a. Calculate and draw a sign diagram for the first derivative.…

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