(e* - 2)e* e + 1 flet dx = e* - 3 ln (e* + 1) + C (Hint: Let e* + 1 = z.)

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A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

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A: Solve and check the equation Y9-25=13.

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

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Q: By using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age…

A: Given: qx=2mx2+mx To Show: qxn=2×n×mxn2+n×mxn

Q: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

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Q: Find the value of n(A) if n(B)=32, n(A^B)=17, and n(AUB)=49.

A: Given information:The value of n(B) is 32.The value of n(A∩B) is 17.The value of n(AUB) is 49.

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Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

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Q: So λ (1-ey) o λ + (2-2) e-y Ө 0+ ℗ + (2 − 0) e¯½ dy

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