The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = : 4.

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Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

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Q: 12 ソ+) X +20 x + 20 y+30 1. 1.

A: 1/12 = 1/(x+20) + 1/(y+80) 1/5 = 1/(x+20)  + 1/(y+30) now 1/12 = 1/(x+20) + 1/(y+80) in this  1/(x+2...

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A: We will find the derivative. 

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 3 1. The function f(x) = 4x-1...

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Q: Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

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Q: Lesson 3.2. Derivative of a Function Activity 3.4. Use the definition of the derivative to find f'(x...

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Q: Find the indefinite integral. sin 78 V COS 76 de

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

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Q: The shaded region, R, is bounded by the graph of y = x² and y = 4, as shown. a. Find the area of R. ...

A: 1.Area of the region R:A=2∫04x dyA=2∫04 y dyA=2 [y3232]04A=43[y32]04A=43(8)A=323 square units