Let A(a) = |" f(t)dt where f is the function given by the graph below. 4- -2 -3 -4 А(5)

Q: On the interval –5 < x < 6, for how many values does f (x)(graphed below) have a derivative equal to…

A: Given:

Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: Given that the function is  f(x)= e-x, a= -0.1 To determine the linearization for the function.  The…

Q: Which one of the following statements is False? Level Curves of a function of two variables are in…

A:

Q: A graph of y = f(r) is shown. In the same coordinate system, sketch a graph of the derivative…

A: To draw the graph of the derivative of the function

Q: Suppose a tour guide has a bus that holds a maximum of 86 people. Assume his profit (in dollars) for…

A: Solve the following

Q: 7 1 The first-order derivative of f(x) = x ´ +x ´ is 3 2,5.7 5/2 VO

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Q: 3x-1 ind the critical points of the function f (x) = x+6

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Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: First we have to find the function f(x).

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ + 10

A: Here we have to find the orthogonal trajectories

Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: Given, f(x)=1x, a=0.9 now find linearization f(0.9)=10.9=109 so linearization at 910,109…

Q: Suppose a tour guide has a bus that holds a maximum of 110 people. Assume his profit (in dollars)…

A: Given : Profit function P(n) = n(55-0.5n) - 110 Maximum value of n = 110.   To find : a. How many…

Q: t6 – 2 1. Determine the equation of the normal line to the graph of f(x) = | dt at x = 2. t3 + 1

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Q: 5. What is the derivative of 2x*? A. 8x3 В. 2 С. х D. 0 6. Consider the function f(x)=|x-21 at x-2…

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: 8. Find the extremum and saddle points of the function f(x, y) – x3 – 3xy + y3 if any.

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Q: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2…

A: Given a right angle triangle has sides of length 3 and x and a Hypotenuse of length l. Given that…

Q: Suppose that we were to model a continuous income stream using the function f(t)=t2 / (t-1)(t+1) for…

A: The function that models a continuous income stream is

Q: 4. Find the general form of the function that satisfies dP/dt = -3P(t).

A: A separable differential equation can be solved by separating the terms in each variable and…

Q: EXAMPLE 2 Find the derivative of the function below. g(x) = 3 + t2 dt SOLUTION Since f(t) 3 + t2 is…

A: To find the derivative of the function

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Answer

Q: 4.9. Show that if f has a bounded derivative on [a, b], then f is of bounded variation.

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Q: Example: Use the Secant method to estimate the root of f(x) = e-x-x. Start with initial estimates…

A: To use secant method to estimate the root of fx=e−x−x

Q: e critical point of the function f(, y) - 6 +7x + æ² + 4y – 2y?

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Q: 4. Find the critical points of the function. Then use the second derivative test to determine which…

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Q: 4. A company possesses a major piece of equipment that denigrates at a continuous rate f = f(t),…

A: (a) Let F(t) be an antiderivative of f(s) Mathematically, it means: F'(s) = f(s) By Fundamental…

Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

A: Given :g'(x)=x2x2-4x2+1

Q: Q2:A/ Consider the function f(x) = 11x+3 -what are the first and second derivatives? -what are the…

A: We will answer the first three subparts of the first question as per our guideline. Please resubmit…

Q: 10. Find the critical points of the following function. Use the Second Derivative test to determine…

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Q: 3. Use derivatives to find the critical points anc (a) f(x)= x³ – 9x2 + 24.x + 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The minimum rate of change of the function f(x, y) = In(x² + y²) at the point (-1,0) is: a. -1 O b.…

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Q: Bus Econ 5.2.47 Tutoring On a particular day, the power used in a particular state (in thousands of…

A: We use second derivative test to find out where function maximum and minimum

Q: 4. Find the orthogonal trajectories of the family of curves y = Ce* +10

A: Given that : y = Ce2x + 10

Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

A:

Q: 5. Suppose f(-2) = 3, f'(-2) =-4 g(-2) = 1, gʻ(-2) = 2. Let h(x) = f(x) g(x). 5.1. What is the slope…

A: 5 (5.1) The slope is equal to the derivative of the function h(x) at any point x. Use the product…

Q: 14. est 3 comment The critical numbers x = -7 and x = 5 are found from a continuous function f'(x).…

A: The critical numbers x=-7 and x=5 are found from a continuous function f'x f''(x)=1-x3x+6

Q: 3. If f(-1) = 3, f'(-1) = 5, g(-1) = -1, gʻ(-1) = 2, let h(x) = f(x) g(x). Find an equation for the…

A: given: f(-1)=3, f'(-1)=5, g(-1)=-1 and g'(-1)=2 h(x)=f(x)g(x). we have to find the equation of the…

Q: 8. Find the extremum and saddle points of the function f(x, y) = x³ – 3ry + y³ if any

A: Given function is fx,y=x3-3xy+y3

Q: (12) Find the local maximum, minimum and saddle points (if any) of the function f(x, y) = x3 – 3x +…

A: Local maximum or minimum of the function

Q: The graph of the first derivative of a function is shown a) How can we know in which intervals the…

A: Here we have the graph of the first derivative of a function is shown.

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: find a linearization at a suitably chosen integer near a.

Q: Example3: a) Find the derivative of f(x.r.:)= r - -: : at P(1.1.0) in the direction of 1= 2i-3j-6k.

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Q: A graph of y f(x) is shown. In the same coordinate system, sketch a graph of the derivative function…

A: In the interval -4,-1, the function is decreasing giving a negative to positive slope.

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 An =…

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Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ +10

A: Given that, Family of curves is following, y = Ce2x + 10…

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

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Q: The graph of the derivative f' of a function f is shown. y= f'(x) 2 4 6 8 For what value(s) of x…

A: When sign of f'(x) changes from positive to negative then that point is where local maximum exist…

Q: Using the graph above, state where f (x ) (a) has critical points: (b) is increasing: (c) is…

A: According to the given graph: (a).   f(x) has critical points at:  x=0,   x=4   and   x=7

Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is a parabolic graph and…

Q: (a) Show that the derivative solution of this function y = x** is dy = xa*x-1) [1+x In x (In x+ 1)…

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Q: 2. Is it possible for a function f(x, y) to satisfy both f(1, 2) = 5 and f(0,0) = 5? If yes, gi- an…

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