(b)Ly(R):= P(X-(R) = P(w E N:X(w) E R) = P()- %3D

Q: fx) D, f(쪽) -1, and f(플) %=D1, and COSX 3 f) = -1. Find S f(x) dx. %3D

A: Given that  f'x=cosxx, fπ2=-1 and f3π2=1find ∫π23π2fxdx

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Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

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Q: 5. y' = -4x/y, y(2) = 3 %3D %3D |

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: ((x/y)/z)+(x/(y/z))

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Q: '5 Given f(x) dx = 16 and f(x) dx = 8, evaluate (a) f(x) dx. 0. (b) f(x) dx. 5 (c) f(x) dx. '5 (d)…

A: Solved below

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

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Q: For f(x) = x? – 5x - 6, find f(2), f'(2), and f(3) – f(2). f(2) = a. b. f'(2) %3D c. f(3) – f(2) -

A: The given function is fx=x2-5x-6

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Q: (1 − x++zx) (ε − xs) =á (v) - for dx dy Find

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

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Q: Sx² d(e*). Note a(x) = e* .

A:

Q: P(A | B) = 0.1, P(B) = 0.7, P(A | B') = 0.4. Find P(B | A).

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Q: f(x) dx = 18 and f(x) dx = 3.7, find f(r) dr.

A: using property of definite integration

Q: SSx = 172.5, SSY = 80.6, and ∑[(X – Mx) (Y – MY)] = 95.33, r =  A. .08. B. .01 C. –.81. D. .81.

A: SSx = 172.5 SSY = 80.6 and ∑[(X – Mx) (Y – MY)] = 95.33

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Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: (#9) S x2 dx V16-x²

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Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

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Q: 7) Consider the computer output shown below: One-Sample T: Y Test of mu = 91 vs. not = 91 Variable N…

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Q: P(A)= 0.33, P(B)= 0.44, P(A and B)= 0.16 Calculate P(A and B')?

A: Answer: From the given data, P(A) = 0.33 P(B) = 0.44 P(A and B) = 0.16

Q: If f (x) | e'f(t) + e" dx then f(x) is equal to

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