Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr' where A is and n is and B is and m is

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: Consider the function f(x) = 16x³ - 21x2 + 6x – 8. Find F(x) an antiderivative of f(x). F(x) =]

A: Topic - integration

Q: Calculate R3 and L3 for f(x) = x² - 6x + 6 over [1,4].

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Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

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Q: Let f(z) - 4z-1 pnd alz) - ar+b, where a pnd b are positive constants. If the composite

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: of and ду of For the function f(x,y) = In (x+ 3y), find

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Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

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Q: Calculate R3 and L3 for f(x)=x2−4x+5 over [1,4].

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Q: Let f(x) = 4x - 8x. Find F(x), the antiderivative function, if F(1) = 3.

A: Let f(x)=4x2-8xTo find the antiderivative function F(x)if F(1)=3

Q: Determine if F = x²yî + (xyz +29)ĵ – x²y²k is conservative or not %3D

A: For vector field F⇀=ui^+vj^+wk^ Curl(F)=i^j^k^∂∂x∂∂y∂∂zuvw   For vector field F⇀ to be conservative…

Q: Calculate R3 and L3

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Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: Consider the function f(x) = 9x³2x² + 5x – 8. = - An antiderivative of f(x) is F(x) Ax¹ + Bx³ + Cx²…

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Q: Consider the function f(x) = 5x + 7x7 - 3x¹ - 5. An antiderivative of f(x) is F(x) A is and n is and…

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Q: The antiderivative of the function f(x) = + 7x is -3 3.5x2 +c 3 + 3.5x? +c -7 +1.5x² + c -3 +14.0x²…

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Q: find ou gene val solunion for on3 equanion: Ysin 2x -7cos X =0

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Q: Determine the value of a that makes F(x) an antiderivative of f(x). -40 f(x) = F(x) = A -5 B) 4 D

A: It is given that fx=-40x9 and Fx=ax8. Since  F(x) an anti derivative of f(x), ∫fx=Fx+C.

Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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Q: Consider the function f(x) = 8x - 8x2 + 4x – 3. An antiderivative of f(x) is F(x) = Ax* + Bx + Cx² +…

A: We have to find antiderivative of f(x) or integral of f(x).