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

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: 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: Q13. Curl measures a vector field's tendency to do what about a point? To Originate from the To Move…

A: the curl measures the rotation of fluid in a three dimensional vector field

Q: -3 -2 (-2 -3) 2 What is the inverse of the matrix (

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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: Evaluating a Line Integral Using Green's Theorem In Exercise, use Green's Theorem to evaluate the…

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Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

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Q: Let U(z, y) (2x +3)(y+5). %3D Select the correct expressions for Uz and Uy: (A). Uz= 2x+3. %3D (B).…

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Q: what about a point? horizontally point vertically to the point If F(x, y, z) = 2x² + xyz – y²z What…

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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: If f(x, y2) = x2 + y² + Vxy find: and (x?y) ду af(x²y) ax

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Q: Consider the function f(x) = 6x An antiderivative of f(x) is F(x) = Aæª + Bx³ + Cx² + Dæ За* + 9х —…

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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: If the function y = 4x' +5 is an antiderivative of some function f , the is also an antiderivative…

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

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Q: The antiderivative of the function f(x) : .2 + 11x³ is, 4 - + 2.8x4 + c - -11 + 1.2x* + c -5 + 2.8x…

A: As we know that if we need to find the antiderivative of f(x);   So,   ∫fxdx=Fx+C   From the given…

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: If f(x,y) = In(x?y² +3x) find- дудх O a. 12x?y (x²y² + 3x)? O b. 6x?y (x2у2 + 3x) Ob. 6x²y (x²y² +…

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Q: The productivity of a country is given by ​f(x,y)=13.73x0.437y0.563​, where x is the amount of labor…

A: Given function is fx,y=13.73x0.437y0.563 (A) We have to find fxx,y and fyx,y Differentiate partially…

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

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Q: 3) h(x) = Vx + 3 A) h'(x) = (x - 1)° - 3 B) h '(x) = 16x h (x) = - D) h "(x) = (x - 3)*

A: Let's find.

Q: 1. If øis any scalar then V × Vø = 0 is TRUE or SOMETIMES FALSE SOMETIMES CANNOT FALSE TRUE FALSE?…

A: We have to use the cross product to prove the given problem.