Using the beta function, find x2 (3 – x) E dx 3 VT A) B) E C) D) 4.

Q: Find f"-1) if f3) = (3x + 1)° . %3D O a) 9 O b) -27 c) 36 O d) -9

A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: Evaluate the following: 1) ² (y² + y)dxdy

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Q: Pls

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Q: 16. Find the value of b so that f(x² — 9)dx = −36. A) 3 B) -9 C) 9 D) -3 E) 0 F) None of the above.

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Q: Differentiate g(t) = -8/t .

A: Known fact: ddxx=12xddxkfx=kddxfx

Q: Show that A (B × ℃) is not equal to B · (À × ℃)

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Q: Evaluate √ x²ekx dx. (Helpful hint: √ ekx dx = €** + C) ekx k

A: To evaluate the following integral.

Q: 2-2x find (fif) G) to use f Cx) = x

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Q: dy 2) Find for each function: dx a. y= 5x – 7x² - b. y= Jx 1 y С. x² - 5 d. y Зх +1

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Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: 9. Use a trig substitution to show that f steps. dx (1+x²)3/2 = √1+2+C. Be sure to clearly show all

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Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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