Determine the value of a that makes F(x) an antiderivative of f(x). f(x) = 36x 1/8, F(x) = ax 9/8 (А) 5 (в) 4 B с) 36 D) 32

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Q: Suppose that f(x, y) = 6x²y² + 4x² + 4y² then find the discriminant of f.

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Q: 9. What is the antiderivative of f(x) = 6x² – ? 2 а. 12x + x2 b. 3x³ + x2 e 3x3 - x2 d. 3x3 – 2 In x…

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Q: 20 If f(x) dæ -49 and F(20) = -14, where F(x) is an antiderivative of 10 f(x), find F(10). F(10) =

A: Given that F(20) = -14 and F(x) is an antiderivative of f(x)

Q: Q6. If F(x,y,z) = (x – 3)² + (y – 3)², what is ? 20у - 3) 4 2(х - 3) 2y əy? Q7. V(x, y) = x³ + y³…

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Q: Show that: H(X,Y) = %3D H(XY) + H(Y)

A: We have to show that H(X,Y)=H(X/Y)+H(Y)

Q: The antiderivative of the function f(#) + 8* is -8 + 2.0a2 +e 4 +4.0a2 +c -4 + 16.0a? + c -4 4.0a2 +…

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Q: The antiderivative of the function f(x) : .4+7.5x³ is. -7.5 + 0.5x² + c -2 + 1.9x* + c -2 +1.9x³ + c…

A: To find the integration

Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: 23. Find the most general antiderivative of the functions: a) f(x) = 1 –- x³ + 5x5 – 3x7. 5 – 4.x3 +…

A: Given: 1.fx=1-x3+5x5-3x7 2.g(x)=5-4x3+3x6x6 we want to calculate the antiderivative is nothing but…

Q: u = Vx + 5 (x + 1) then du/dx is Зх — 11 Зх + 11 2 Vx + 5 2 Vx + 5 A 3x + 10 Зх — 10 2 Vx + 5 2 Vx +…

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Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x +…

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Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: f(x, y) = 3x³ – 2x² y + 5xy + 7y + 14 - Evaluate: %3D dxôy О а. -6х O b. 10y – 4x О с. 0 d. 9x + 7y

A: Given problem:-

Q: Which of (I)-(V) are antiderivatives of f(x) = ex/2? I.ex/2 II.2ex/2 III.2e(1 + x)/2 IV.2ex/2 + 1

A: f(x) = ex/2Antiderivative of f(x) = Integral of f(x).dx Please see the subsequent steps on the white…

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: Which of the following is an antiderivative of f(x)= x-3 + 3e6z ? Select one: O F(x) = 긍x2+ O None.…

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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: Find the remainder when f(x) is divided by x-k. 21) f(x) = 3x* – 5x + 5x? - 2x k = 2 A) 10 В) -5 C)…

A: A detailed solution is given below

Q: FI = r Where f(r) = -i = 2xi – 3yj + zk So be it %3D div) grad(f) find

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Q: Show that V ar(aX + b) = a2V ar(X).  V ar(c) = 0 for any constant c.

A: Solution-:We want to show that.   Where, Var (c) =0  for any constant.

Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Q8. If Ā = ÷I +, B = ÷i+÷J, what is the angle between à and B ? 0° 180° 30° 45° 90°

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Q: f/dy if f(x,y)

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