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Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =2x3 - 3x2 -...

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Q: Question 11 of the attachment.  If you could show the work that would be helpful.

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Q: A frustum of a cone is generated by revolving the graph of y=5x on the interval [2, 9] about the x-a...

A: The area of surface generated by revolving the curve y=f(x) about x-axis from x=a to x=b is

Q: Evaluate the given integral using the substitution (or method) indicated. ∫ e−9x dx; shortcut =_____...

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Q: Evaluate the integral.

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Q: An athlete runs with velocity 13 km/h for 5 minutes, 14 km/h for the next 2 minutes, and 19 km/h for...

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Q: Find the integral ∫tan5xdx.

A: Here given Now,  

Q: Evaluate the integral , f(x) dx, where 3 — х3, х 1

A: Given a piecewise function We need to find integral from x=-2 to 3

Q: Find the critical point of the function f(x, y) = 4e² – 3xe". Use the Second Derivative Test to dete...

A: Function in the given question is: f(x,y) = 4ex - 3xey To find critical points, we set the following...

Q: Can the graph of a function cross a horizontal asymptote? Explain.

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Q: The subject is engineering and numerical analyzes.I need to answer quickly

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Q: A road perpendicular to a highway leads to a farmhouse located 4 mile away. An automobile traveling ...

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Q: Evaluate the integral.

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Q: The illumination of an object by a light source is directlyproportional to the strength of the sourc...

A: Given that: The illumination of an object by a light source is directly proportional to the strength...

Q: Express the perimeter of  rectangle as a single rational expression.

A: Given,

Q: Question is image

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Q: Given the equations y = x? – 2, x = -1, x = 1, and y = 0, answer the following questions: a. Sketch ...

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the R...

A: Hence the given series is convergent.

Q: Between  0 ° C and  30 °C, the volume V (in cubic centimeters)of 1 kg of water at a temperature T is...

A: Objective: To maximize Density Note that Volume is inversely related to density and so minimizing Vo...

Q: Evaluate the integral by interpreting it in terms of areas.

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Q: please show all steps

A: Given equation is The curve is rotated about x axis. Origin is the center. Rotate the curve from x=...

Q: Differentiate. t2 + 1 t4 - 4t2 + 2 y = -21 – 4° – 12t y' = (A – 4² + 2)² %3D

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Q: Use Newton’s Method to show that the equation xn+1 = xn(2 − axn) can be used to approximate 1/a when...

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Q: Evaluate the indefinite integral 6 4 dx 9x + C

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Q: Express (cos(40) + i sin(40))' in exponential form

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Q: At what points is the tangent horizontal or vertical?

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Q: A steel pipe is being carried down a hallway 9 ft wide.At the end of the hall there is a right-angle...

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Q: Surface area formula for spherical cap A sphere of radius a issliced parallel to the equatorial plan...

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Q: Calculus Question

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Q: Evaluate the integral     ∫     (3/u +u/4)du   =________________________________+ C

A: Given integral cn be written as We know that integral of (1/x)dx=ln(x) and integral of (x^n)dx=x^(n...

Q: (а) Given that f'(x) = 3x + 4 and g(x) = x? - 1, find F'(x) if F(x) = f(g(x)). (b) Find the absolute...

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Use the limit process to find the area of the region bounded by the graph of the function and the x-...

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Q: (-cx² + 2x, (sin x + cos x, x> n x<π 9) Prove that lim (x* sin+5) = 5 10) f(x) = What value must c b...

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Q: Evaluate the one-sided limit of f(x) graphically. x + x – 2 f(x) = x2 + 11x – 12 (Use symbolic notat...

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Q: Simplify expression.

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Q: Factor perfect square trinomial. 4x2 + 4x + 1

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Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your answer...

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Q: Consider the following planes. x+y +z = 2, x + 3y + 3z = 2 (a) Find parametric equations for the lin...

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Q: find critical value

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Q: Decompose the fraction 6 / (x+2)(x−4).

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Q: Differentiate. xex - f(x) x + eX x². e* + e2x + 8 + 8e* f '(x) = (x+ e*)? 2

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Q: Evaluate 1- lim sırx

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Q: use logarithmic differentiation to find the derivativeof y with respect to the given independent var...

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Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: What steps would you take to find the rational zeros of a polynomial P?

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Q: Suppose C is a circle centered at the origin in a vector field F (see figure).a. If C is oriented co...

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Q: Use the Midpoint Rule with n=5 to estimate the volume V obtained by rotating about the y-axis the re...

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Q: In the picture

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Q: Find the indefinite integral. (Use C for the constant of integration.) Original Integral      Re...

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