Find the volume, V, of the solid formed, when the part of the curve y = 0.8x¹.5, is rotated about the x-axis between x = 1 and x = 4. Give your answer correct to two decimal places.

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A: Given Quadratic Equation is as follows

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A: If , then to find .

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Q: Find the derivative using the chain rule. f (b) = cos (86)

A: Given,

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A: The objective of the question is to find the derivative of the function H(x) = 3 / sqrt(x+2).

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A: We see the given graphs and determine the from which of the given options is a better characteristic…

Q: matrix A given by: a11 a12 a21 a22 a31 a32 A where: A = BC and: B = and C = 1 2 4 C 7 8 a d e a13…

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Q: I sinx cos³x dx Select one: O a. O b. O c. O d. O e. - - sin³x 3 cos³x 3 sin³x 3 cos³x 2 cos³x 3 +C…

A: The integral expression is Here the aim is to integrate so, use the method of substitution let…

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A:

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A: Solution is following in explanation step.

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A:

Q: The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w) =…

A: Avegrage rate of change of a function f(x) on [a,b] is given by

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Q: x³+27= 3

A: P(x)=x3+27

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A: Consider the vectors

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Q: Evaluate the derivative at the given value of x.

A: The objective of this question is to find the derivative of the function y = 4√(x³) - 5√x at x = 16.

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A: we have given graph to find the vertical and horizontal asymptotes.

Q: A gasoline-powered lawn mower produces a sound of 98 decibels. An electric lawn mower produces a…

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Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: The objective of the question is to find the points on the graph of the function y=5x+1 where the…

Q: x y = 8-6 cos(t = = 7+cos³ (1)

A: x=8−6cos⁡(t)y=7+cos5⁡(t)Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power Ruleddxxn=nxn−1

Q: Find the derivative of the function and evaluate the derivative at the given​ x-value.

A: The objective of this question is to find the derivative of the function f(x) = 2x²+x-3 and then…

Q: Both verbally and in written form, find and explain the domain and range of y = x^2 + 1?

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Q: Question Angie has $20 to spend on juice boxes for her son's preschool picnic. Each pack of juice…

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Q: 12x e³x ax 3x е

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Q: - x + 3 and the point (-1, 6) is on the graph of The function ƒ is defined by f(x) = −2x³ f. If f-1…

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Q: SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. 2.. Solve…

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Q: Differentiate the function. 4x²-7 y= 3 9x + 4

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Q: Find the derivative using the chain rule. f (m) = (cos(m))

A: Given,.We know that the rules are,

Q: (a) Find as a function of 1 for the given parametric equations. dx X = 1-1² y = -4-8t

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A: Differentiation

Q: c. Let h(x) = 3x² - 49x + 13. Determine the root(s) of h. X = Preview

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 5412985 + 5982

A: we are to find the sum of two numbers 5412985 and 5982

Q: Aeronautics The time t (in minutes) for a commercial jet to climb to an altitude of h feet is given…

A: Given:The time (in minutes) for a commercial jet to climb to an altitude of h feet is given bywhere…

Q: 2x² + 4x = 5

A: 2x2+4x=5

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Q: W O O O 16 16 16 16 dy 2. Use the definition of the derivative to find of f(x) = f f(x) = =/1

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Q: Find the exact solution(s) to the following equation. 32x-1=5x+1

A: Consider the equation

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Q: lim f(x) = [Select] x-c function with nonzero denominator at x = c. for f any polynomial function or…

A: Given that,*f is a polynomial function or any rational function with nonzero denominator at x=c.We…

Q: A bicycle with 24-inch diameter wheels is traveling at 17 mi/h. Find the angular speed of the wheels…

A: A bicycle with 24-inch diameter wheel is traveling at 17 mi/h. To find the angular speed of the…

Q: f(x) Given the graphs of f(x) = 2x and g(x) = x-1, sketch a graph of the combined function y = on…

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Q: The center and radius of the sphere with the equation (x-1)^2+(y+3)^2+(z-4)^2=81 are: Center=…

A: The objective of the question is to find the center and radius of the sphere given the equation of…