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Q: Calculus Question

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Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Find the derivative with respect to x

A: FUNDAMENTAL THEOREM CALCULUS If f(x) is continuous over the interval [a,b] and the function F(x) is ...

Q: For what value of the constant c is the function ff continuous on the interval (−∞,∞).

A: c=5 Answer and explanation is given below

Q: I need an explanation

A: Given data:   The expression for the number of computers infected by the virus increases with time i...

Q: A snail travels 5 meters in 20 minutes.he travels the same amount of time per meter.how long will it...

A: GivenA snail travels 5 meters=20 minutes 

Q: Find f(1)+f(2)+f(3)+...+f(40) if f(x) = 3x-7

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Q: Part 1 of 5 To find dy = y' for 9x3 + x²y – xy³ = 1, we differentiate both sides of the equation wit...

A: Answer is 0 Explanation is given below..

Q: A problem in optimization. Much better if you have an illustration. I really appreciate it if you ca...

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Q: compute lim as x goes to pi/2 from the right of (x-pi/2)tan(x)

A: Given f(x)=x-π2 tanx To find limx→π2+f(x)=limx→π2+x-π2 tanx

Q: Determine whether the following function is one-to-one. 12 -8 -4 4 8. 12 4.

A: We are given the graph of the function. Here, we need to verify that whether the function is one-to-...

Q: Determine the intervals on which the function f(x) = x - 4x2 + 6x +4 is increasing or decreasing. %3...

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Q: Is it concaving? Increasing? Decreasing?

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Q: Solve the equation sin (40) + sin (60) = 0 on the interval 0<0<2x.

A: Given, sin4θ+sin6θ=0

Q: u- s0 = -= (-1 %3D

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: C(x)= 500 +120x-.2x^2 A find total cost of producing first 130 appliances B Find the average cost pe...

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Q: 5) Find an exponential function with horizontal asymptote y = 3 whose graph contains the points (0,4...

A: given horizontal asymptote y =3 graph contain points 0,4 and 1,5

Q: A population numbers 11,000 organisms initially and grows by 8.5% each year. Write an exponential mo...

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Q: All boxes with a square​ base, an open​ top, and a volume of 200ft^3 have a surface area given by ​S...

A: We differentiate S(x) with respect to x. S(x)=x2+800xS(x)=x2+800x-1S(x)=2x-800x-2S'(x)=2x-800x2

Q: 3245 2245z+8 2z+5 gʻ(z) = 224 5z+8

A: Given that: The equation g(x) = ln x2 + 5x + 8x3 + 5x + 8 .

Q: The integral from 2 to infinity of 6/((x+5)^(3/2))

A: ∫2∞6x+532

Q: Tutorial Exercise Find the indefinite integral. e2X dx Step 1 To solve the integral | e*V1- e2x dx, ...

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Q: Find the exact value of the expression. 3 + cos sin sin 8 1 17

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Q: For f(x) = Vx- 4, find the number c in (5, 20) guaranteed by the Mean Value Theorem. %3D (Use symbol...

A: Given fx=x-4 To find c∈5,20 by using Mean Value Theorem

Q: Graph the function f (x) = (-)" A - 3 and its inverse on the same set of axes.

A: The given function is fx=32x-3. Let y=32x-3. Interchange the variables x and y and solve for y as sh...

Q: Find the inverse function of  f(x) = x-5/3x+3

A: The given function fx=x-53x+3y=x-53x+3 Solve for the value of x y3x+3=x-53xy+3y=x-5x1-3y=3y+5x=3y+51...

Q: If the points in the table lie on a​ parabola, write the equation whose graph is the parabola.   ...

A: Given, The points in the table lies on the parabola: x y 1 1 3 -7 5 -67 Let, The equatio...

Q: Find dy/dx of y = cos^-1(2x) * sin^-1(2x)

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Q: Use differential to approximate the change in the volume of a sphere when its radius changes from 2 ...

A: Volume,V=43πr3 Differentiating dV=43π(3)r3-1drdV=43π(3)r2drdV=2πr2dr

Q: sum & difference identities, condense each of t 1. cos25 cos15° – sin25°sin 15° 3. sin140°cos50° - c...

A: Solution :-  

Q: := Pp' -5) dz Find p³-6p² dp

A: z = pp4-5p3-6p2dzdp = ?

Q: compute lim as x goes to infinity of ln(x)^1/ln(x)

A: Consider the equation

Q: Given xy + cos(xy) + 3x = 1, answer the following: Write the equation of the normal line to the curv...

A: Given,            xy + cos(xy) + 3x =1

Q: #8

A: Given

Q: Determine the domain, counter-domain, range, indicate if it is injective, surjective or bijective, i...

A: Given

Q: Let h(x) = f(z) where f(x) = ln(3x² + 2x +2) and g(x) = -2x. What is h' (x)?

A: hx=fxgx=ln3x2+2x+2-2xf(x)=ln3x2+2x+2 Differentiate f with respect to x f'(x)=dln3x2+2x+2d3x2+2x+2×d3...

Q: #5

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Q: Find the critical points of the following function. f(x) = 5x? - 3x – 1 What is the derivative of f(...

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answ...

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Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). (a) F...

A: a)  ux=fx.gx The slope of g at x=1 is CD = 0-22-0=-1 The slope of f at x=1 is OA = 4-02-0=2    

Q: 196x3 49x? 12x – 2 dx Integrate: 49x2 + 4 + C

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Q: For the functions below that have a removable discontinuity at x=a [if the function does not have a ...

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

Q: The equation, therefore, becomes 6cos x sin y(y') = cos x cos y- sin x sin y(y'), %3D and we need to...

A: Given equation in part 3 is  6cosx-siny(y')=cosx cosy -sinx siny(y') we need to bring all the y' ter...

Q: Consider the function f(x)=3x3+4x2+14. For what values of k does the Intermediate Value Theorem tell...

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Q: Convert the angle 45° in degrees to radians.Express your answer as a multiple of π.

A: To convert 45° to radian. Solution: We know that 1°=π180° radian To convert degree into radian we wi...

Q: а. f(x) —D 3* + 2

A: " Since you have asked multiple question, we will solve the first question for you. If you want any ...

Q: Experts fear that without conservation efforts, tigers could disappear from the wild by 2022. Just o...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...