If  g(x) = x2 + 10x  with  x ≥ −5,  find  g−1(56).

Q: Hi, I realized I asked this question previously but I got a different answer (0, 18 Pi). Which…

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Q: Question Find the area of the region pictured below that is bounded by the functions f(x) = x² - 6x…

A: Topic - Area Bounded by curves

Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² lim (,) (0,0) 24+24 y² (a)…

A: To find the limit if exists or to show that the limit does not exist.a limx, y→0, 0 3x2y2x4+y4b…

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x+3)² and the line…

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Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

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Q: Find expressions for the quadratic functions whose graphs are shown. f(x)= g(x) 11 y

A: Given :   f(x) Vertex ( h , k ) = ( 7 , 0 ) put point ( x ,y ) =( 8 , 2 )

Q: The graph below is the function f(x) -4-3-2-1 432 1 2-2 -2- ●a Select all statements below that you…

A: The graph of the function fx is

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A: Given problem:-- Find the volume of the solid obtained by rotating the region bounded by y = x and…

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Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: Find fogo h. f(x) = g(x) = x³, h(x) = x + 6

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Q: Given the integral: In(x) x² da

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Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

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Q: I'm having trouble figuring out why the integral of e-3x dx is equal to (-1/3)e-3x. I do not know…

A: Given:    f(x) = e-3x

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Q: A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of the metal…

A: Given ,  A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of…

Q: 4. Consider the population model dP dr -0.3 (1-2) (0-1) P. dt 50 where P (t) is the population at…

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Q: 1.) Which of the following is not a solution to Show your solution. a.) y = xcos(x) + kx b.) y =…

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Q: 28. F(v) V v+2

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Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

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Q: The number of pet dogs in the United States can be represented as  p(t) million where t is the…

A: Given 1. p0=65.2 2.There were 66.9 million pet dogs in the United States in 2009.

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e* + c)

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12…

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Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: Calculus 9) The plot below shows a function g(t), which is the derivative of another function f(t).…

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: We can determine the derivative in the below steps.

Q: 1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 4. Which of the…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take x=-6

Q: 3. The graph of f'(x), the derivative of f(x), is continuous for all x and consists of five line…

A: The graph of f'x is given as , find the absolute maximum value of fx over the interval 0,3.

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Q: 14. F(x)=sin(t²)dt. [sin(t²)dt . Find F '(1). O 0.292 0.540

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Solve the system 23x = 92y = 115 -11 X +444 = -55 (x, y) = IS Is there a solution ?

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

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A: We have to find volume generated by revolving R1 about line AB.

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Q: K False 3. True or False? An independent variable represents the range value or output of a…

A: To write down that the given statement is true or false.

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A: We have to find dot product of A and B here

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Q: B-Prove that the solution of the following differential equation xy' + y = xis y = In(ex*), when…

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Q: Find the following limit. 2 lim h→0 √2h+1 +1

A: Limit

Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: Given P = −0.2N2 + 3.6N − 9