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A: Given; r(t)=10cos(7t)i+10sin(10t)j+3tk

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A: Given: fx,y=x216y3-lny   As we know that; The Power law: ddxxn=nxn-1 And ddxlnx=1x

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A: r(t)=t^2i+t^(13)j r'(t)=d(t^2i+t^(13)j)dt=2ti+13t^12j r''(t)=d(r'(t))dt=2(1)i+13×(12t^11)j…

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Q: xdx 41. 12-х

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dw given w = a2 + 2y2 + 22 and a = cos (st), y = -2s Int and Use chain rule to find 2 = 3s' Vi.

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A: Given query is to find the solution of the differential equation.

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A: Given a vector function

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A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question...…

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A: Our Aim is to find d2ydx2 for the curve given by x=t2 and y=t3

Q: 1. Calculate the following limits (showing all working): log,(n) + 5" n-0o log7(n) + 7" Vn5 + 2 +…

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Q: Find curl (3zi + 4xj+ 5yk). curl(3z i+ 4xj+ 5yk) = ( i )i + ( i )j + ( i )k

A: We will find the curl.

Q: Find div F and curl F if F(x, y, z) = xz°i+ 4y°x²j+ 52?yk. 3: 62. div F= curl F=

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Q: ||r(t) × r"(t)|| ||r(t)||³ Use the formula k(t) = to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j + 3tk…

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Q: 1. The approximate value of -31.8 using linear approximation O -2.0025 O None of the choices O…

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A: To solve the given integral.

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: Using chain rule of differentiation

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A: This question can be solved using the concept of domain and of functions and value of a function at…

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A: The volume of the hemisphere is: V=23πr3dV=2πr2dr

Q: S V9x² + 64

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