a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D 3 E None of the given choices

Q: G(t), of the function g(t) = (2n?t? – t*)V2n2 – t². %3D

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Q: |Vx+2 – x| dx

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Q: fxx = || f(x, y) = 5x4y6x4y5 - 21

A: For the given function f(x,y)=5x4y6-x4y5-21      has  fxx=12x2y5(5y-1)

Q: The area of the region lying below the straight line y 2x-4 between 3 < r<4 can be calculated by O…

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Q: 23. Let f(x) = 3x - 1 and g(x) = x – 2. (a) If f(2x) =g(3x), find the value of x. (b) If H(x) =…

A: Given:fx=3x-1gx=x-2 To find: (a)   If f2x=g3x, find the value of x (b)   If Hx=3fx+2gx and Ha=5,…

Q: x8 dx 15. 3 0. (a²+x2)7

A: To Evaluate: ∫0ax8a2+x2dx Explanation: ∫0ax8a2+x232dx......ilet x=a…

Q: X 3 x² e-x³ dx I

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Q: S(8x3 + x-3)dx

A: Solve by integration

Q: Exs Let PE-292]IR be function f(x)%={2 XEG -2 Showthat P3 R-integrable ornot?

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Q: d Given  = and B = x², and for dx arbitrary f(x) II. Calculate for the following: (1) ÂBƒ(x) (ii)…

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Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

A: Given query is to solve the following using the substitution:→∫x-97dx→∫r23-r6dr

Q: is equal to 1)

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Q: If FX) is an antiderivative of x2 +x', then what is the value of F(1) - R-1)3 (A) -2 B) -1 (c) o D)…

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Q: 3x -1 dx is equal to

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Q: 1. Given F(s) = L(f), find f (t)/ Show the details. %3D 2s+16 i. s2-16 10 i. 2s+v2 20 ii. (s-1)(s+4)

A: iii) 20s-1s+4 L-120s-1s+4 20s-1s+4=a0s-1+a1s+4 20=a0s+4+a1s-1 s=-4 ⇒a1=-4s=1  ⇒a0=4

Q: dx 12. 4+16x2

A: We know that∫dxa2+x2=1atan-1xa+C

Q: -3 +2.2а° + с -3 2.24 + с 3 +2.24 + с 6- +0.824 + с -3 .5+ 2.23 + с 4

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Q: 1. = fVx*- Jーxa 4 %3D - 2. (x? +1)²(x+ 2)dx 2х-4 dx 3. V x-4x+1

A: 1. ∫x2-x4dx

Q: -2 1 Evaluate: f(x) dr Suppose f (x): A - In (2) В 3 C 16 D In (2)

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Q: If f(x) = 5x4-2x³-x²+3x - 1, then | f'(0) = %3D d2 f(0) = dx f"(x)= d4 dx 4

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Q: Q7 If -1 f"(x) = 10x ?, which of the following could be true 5 3 I f(x) = - 9x + 5 2 II f'(x) = 15x…

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Q: f(x, y) = √√3x² + 4y² fz(-1, - 5) Calculator Check Answer

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Q: dy Q1: - Find of the following functions dx y = (x +) (x –+ 1 a. %3D - x2+3 b. y = %3D (x-1)3+(x+1)3

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Q: Given A B U D ₁₁f(x) dx = 0 and 0 1 f²³f(x) 11 6 11 55 6 f(x) dx = 11 6 * evaluate ,0 √3f(x) dx -…

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Q: Let f(x) = (1 + g(x))'. If g(1) = 1 and g'(1) = -1, then f'(1) = %3D Select one: O 12 O 0 O 1 O -12…

A: Topic - functions Ans is -12