7. Let C be the curve y = 3x for 0

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Q: dx

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Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

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Q: (14) = (x – y + 5)? dx dy %3D dy (15) (x² – y²)" – xy = 0 dx dy (16) 2xy = x² + 2y² %3D dx

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Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

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Q: Consider an = V4n2 + 3n – 2n for n 2 1. - (a) Determine if {an}, n=1 is convergent or divergent (b) ...

A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

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Q: Find the indefinite integrals: 15/2 + 4x + 1 a) rp- b) 6t" + + xe' ) dt

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Q: 21n|sinh (1/2 »)|+C

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Q: Calculate the arc length of the following vector function. E(1) = 4 In i+j+ 4t k; 1sts2.

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Q: 6. . Suppose that Y,,Y,..Y, form a random sample from a distribution for which the p.d.f. is as foll...

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Q: 2. For the line through P(3, 2, – 1 ) and Q( – 2, 1, – 4 ), determine each of the following : a) vec...

A: For the line through P3, 2, -1 and Q-2, 1, -4, to determine each of the following: a vector equation...

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Q: 1 n > 3. Let an n Vln n Use the Integral Test to determine if the series > an converges or diverges....

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Q: using seperation of variable method, solve dy/dx=x3y2

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Q: Eliminate the parameter: I = sin 3t, y = cos 3t, 0 <t <T/3. = COS

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Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

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Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: +00 S" x?dx

A: To write that the given integral is improper or not.

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Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

A: Given function g(x) = 13bc3(5b+4c+9)5 Find:- Find differentiation with respect to 'x'