3x a) fx5e³x dx 2x² + 3 c) f x(x − 1)² dx TU b) f sin³ xdx 4 d) f tan5x sec³x dx

Q: 3 We were given that = 1²ex dx = @³² = e. 3 3 Therefore, •L²³ ex+ 5 dx = 20²³ [²³ ex α 2e5 dx =

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

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A: Topic:- function

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Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

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Q: Ordinary differential equation dx/dy = ( x-e-x )/( y+ey )

A: We can solve as follows

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Q: F8 Part 1 of 7 O Show that the differential form in the integral is exact. Then evaluate the…

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Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

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A: The given function f(x)=12+cos x on the interval 0, 2π

Q: S: - V dx 2x - √x + 4 VX

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Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: Va. a. Approximate √0.5 with the fourth order Taylor polynomial for f (x) centered at 1. b. Using…

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A: 1)  consider y=4-x2  and y=0    Solve the above two equations   4-x2=0   4-x2=0   x2=4   x=±2Area…

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Q: a = 6, c = 9, B = 128°

A: answer is in next step

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A: We apply ratio test to show the series is convergent and then find its sum. Follow 2nd step.

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