25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

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Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: 0 1 √ √(x²+2x+1) dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If y(t) = ∫0t x2sin3(x)dx = f(t)*g(t), then g(t) = ? a) 1 b) t^2 c) sin3t d) t2sin3t e) 0

A: According to question given that∫0tx2sin3(x)dx=f(t)*g(t)

Q: h(y) = et. In (g) Find b'(a)

A: Topic:- calculus

Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

A:

Q: -4 –x² x e?y dy dx= 4-у O 1 (e12 – 1) O 1 금(62-1) 2 O 1 8–1) O 1 (e8-1) 4 (e 12-1) (e?-1)

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Q: poin If g(u) —D V9u + 3 then g' (u) =

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Q: 3 (b) * ƒ (x) da 0 =

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Q: Find r'(t), r"(t), r(t)•r"(t), and r'(t) × r'"(t). r(t)-흑러 - 26 + (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: 6 - 7t g(t) 8t + 9 g'(t) =

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Q: If M(3) -1 and h'(1) = 5, then h"(x)dr = (A)-6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11 Oc OF OD OE O A OB

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Q: Solve for Y(s) and Y(t)

A: Y(s)=s4−10s3+61s2−360s+9006s3−55s2+217s−1986​ (PLEASE SEE DETAILED INFORMATION ON THE EXPLANATION…

Q: 6. If /f(2)dæ = (x + 5)*eª + ln(|æl) + C, what is f(x)?

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Q: nd r'(t), r"(t), and r'(t) · r"(t). r(t) = 4 cos(t)i + 3 sin(t)j a) r'(t) b) r"(t)

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Q: 3 +5 - dx =

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Q: a fif f" (t) = 2e* +3 sin(t), f(0) =-8, ) =

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Q: Suppose f(x) has the following properties: f(3) 5 || f(7) 2 7 - 2x е * f(x) dæ 12 3 Evaluate: 7 I…

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Q: 8 If x2 = 25 - y2, what is the value of dx2 a²y at the point (3, 4)? 25 (A) - 64 (B) - (C) (D) (E)…

A: use the quotient rule to find the second derivative.

Q: 23 14 f(x)dx – ¹ f(x)dx - - where a = = b [ f( and b = f(x) dx

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Q: 7. Let f(x) = (x² + 7x) e. Calculate f"(1), the sec- ond derivative of f at x = 1. (a) 2e (b) 17e…

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Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

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Q: d[cos(x*)] dx (2k+1)! (-1)*2,* - (2k)! .(-1)시2x4~2 (2k+1)! (-1)*2x*-3 E (2k+1)! None (-1)*-'2x*-1 E…

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Q: a) 2f(x) dx = b) o' 3 f(x) dx = c) S* 3 f(x) dx =

A: Since you have posted a question with multiple sub parts. We will solve the first three sub parts…

Q: Suppose that '(t) and F(0) . Find 7(t) F(t) = <

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Q: d'y Find dx2 (a) y = 6x3 – 7x² + x dy dx? (b) у — 7а? — 6х +9 - d²y dx? x + 2 (с) у — d'y dx2 (d) y…

A: We will solve the problem