If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point (2, 2, 0): 1. V.A 2. VxA 3. V 4. A.V 5. Ax(V4)

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A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

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A: Formulas of limits which have been used are written in the solution

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A: Given :

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A: Let's find.

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A: To evaluate the value of given integral.

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A: Given: fx=36x2-12x+36x-3   As we know that; To calculate the vertical asymptote, equate the…

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Q: dw a) Find for the following function. dt w = 2ye* -In(z), x = ln(t2 + 1), y = cos(2t + 2), z = et…

A: If w=f(x,y,z) and x =g(t),y=h(t) , z=u(t) then,    dwdt =∂w∂x.dxdt+∂w∂y.dydt+∂w∂z.dzdt. Note : As…

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A: This question is related to vectors, we will solve it using given information.

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A: Given problem:-

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Q: π/4 x² dx (x²+4)5/2 0 (Use trigonometric substitution)

A: Given integral I=∫0π4  x3(x2+4)52 dx

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A: The objective of the question is evaluate the indefinite integral.

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Q: * Evaluate. [12 [20x cos(5x² - 1)]dx

A: The given integral is   ∫20xcos5x2-1 dx We solve the integral using proper substitution .

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Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

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Q: G. q 1-Jx 휴-1 14 314 (x+1) dx 1114 X2 (x-1) X2(x-1) = Anㅎ Sa ㅋ. S? 1+Sx dx=4n 은

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

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A: Solution is here

Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

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