Find an antiderivative of the following function. f(x) = x6 An antiderivative is

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Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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Q: Given y=x. Find dx/dt when y=4 and dy/dt ​= 1.55.

A: Given query is to find indicated derivative.

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Q: Determine if the Mean Value Theorem can be applied to the following function on the the given closed…

A: Given function:- fx=x2-x23 Conditions of Mean Value Theorem 1) Function continuous in interval a,b2)…

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A: Solution: Given data, Position of an object = s(t)

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Q: (a) 63°

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

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Q: For the demand function given, find the elasticity at the given price and state whether the demand…

A: q=800-5x Put x=83 q=800-5*83 q=800-415 q=385 dq/dx=d(800-5x)/dx  dq/dx=-5

Q: Determine whether the series is convergent or divergent. In(n) ₂2 n = 2 convergent divergent

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

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: 5. Find the antiderivative F(x) of f(x) = 3/√√x such that F(4) = 2.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Which of the following differential equations are separable? Select all that apply. 0 0 0 dy da dy…

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Q: 6. Determine lim 32. Show your work. a. -16 i b. -6 [-+x C. d. 19 119

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Q: Assume that x=x(t) and y=y(t). Let y=x3+5 and dx/dt​=4 when x=3.   Find dy/dt when x=3.

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Q: Area = [-1, "]: Consider the following solution to the problem of finding the total area bounded by…

A: Consider the following solution to the problem of finding the total area bounded by the graph of…

Q: 9. Find the area of the lateral surface of the cone of radius 4, height 9, obtained by reloving the…

A: To find the lateral surface area of the cone of radius 4, height 9, obtained by revolving the curve…

Q: H m/HIL= L In the diagram, mHGL 164°, and mIJK = 52º. Determine the value for each of the following.…

A: The given diagram is  mHGL⏞=164°,  mIJK⏜=52°

Q: 2). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: According to question,Given Function,fx = cos2x

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Q: Evaluate the indefinite integral in terms of f as a function of the given argument. (Use symbolic…

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Q: Assume that f is a one-to-one function. (a) If f(1) = 17, find f¯¹(17). (b) If f¹(2) = 9, find f(9).

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: Sales of the Average sales = Submit Answer 672 arning Calculus tutorial software packages are…

A: Given f( t ) =  t2t3 + 6 as we know that average of f( t ) = ∫t1t2f( t )dtgiven t1 = 3  &  t2 =…

Q: Consider the following parametric curve. Answer parts a and b. x=t+ 1 dy dx - 7 1 y=t-it=1 a.…

A: dtndt=ntn-1dydx=dydtdxdt

Q: 22. Eliminate the parameter from the parametric equations x= -√fy-4t+20sts4

A: To eliminate the parameter to get the Cartesian equation

Q: age Value Find the average value over the given interval. f(x)=x²+x-9; [0,18] The average value of…

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Q: Find the area between f(x) = x² - 16 and the x-axis from x = 0 to x = 8.

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Q: Consider the region enclosed by x + 3y = 36 and x + 4 = y². Using integrals, the area of this region…

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Q: Find a non-constant function f(x)f(x) such that its average value over the interval [1,5][1,5] is…

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Q: X^2-4*x-17/4=0

A: We have to find the values of x.

Q: ӨР

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Q: Express the number as a ratio of integers. 1.580 = 1.580580580...

A: Given: Number is 1.580580580.....

Q: Find a formula for the inverse of the function. y=e7-x ƒ¹(x) = In + 7 x y =

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Q: For the demand function q=D(p)=100/(p+8)3​, find the following. ​a) The elasticity ​b) The…

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Q: If what does the following integral equal? [p(z)dz = 8 0 p(z)dz = 8 and p(z)dz = 4.9 -8 0 -5

A: given  ∫-80p(z)dz=8              ∫-50p(z)dz=4.9              we know that…

Q: Given the graph of f(x) and the labeled areas, 5 find f(x)dx S₁ 0 5 [ f(x)dx= 0 A=13 B=5 C-6 +15

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Q: Find a formula for the inverse of the function. g(x) = x² - 4x, x ≥ 2 g-¹(x) = 2+√√-1(-4-x),x≥-4 ×

A: Given that , gx=x2-4x   ,    x≥2 find the inverse of the function.

Q: 8. g(x) = n(1+t²)dt 12. R(y) = t³ sin(t)dt

A: To find the derivative of the following functions.8 gx=∫1x ln1+t2 dt12 Ry=∫y2t3 sint dt

Q: 1. Determine if the Mean Value Theorem can be applied to the following function on the the given…

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Q: 12 IF ST ² A If f(x) dx = 14, then compute the value of the following definite integral. √3 16 f(3x)…

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