2. a) Determine the coordinates of all point(s) on the graph of y = 2x In x where the tangent line is perpendicular to the line x+4y – 7 = 0. b) Find the equation of the tangent line to the graph of f (x) = xe* + e* + 1 at the point where x = 1.

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

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A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

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A: If x=5 cis2.945 and y=cis-0.755, then to find xy3.

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Q: 3. Sx Vx? – 4dx 4. S(2 – sin 4r) dr 5. S cos x sin? x dx

A: LetI=∫xx2-43dxPut x2-4=udifferentiate 2xdx=duxdx=du2I=∫xx2-43dx.I=∫u32duTake the constant out:…

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A: This is a problem of limit. Based on the general formula we will answer the question.

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Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: 240 2 s7 17(s-1)8

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

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Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: nswer.

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Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). ||r(t)||* r(t) = ei+ e*j K(t). ||

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A: Flux of the given field is given by

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A: To find the limit of the given vector valued function.

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A: Let's find.

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A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

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A: Ara of the above bounded curve is given by

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A: A detailed solution is given below

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A: To evaluate the given integral.

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Q: Let C1 be the curve with parametric equations x = Cos t, y = sin t – t, where t e [0, ). (a) Find…

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Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

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Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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