Given gamma is the curve defined by R(t) = ti + tj + tk, for t [1, infinity). How would I evaluate the integral in the picture below?

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Q: Let C be the line segment from the origin to the point (2, 3). [(y² + xj). dr

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A: Given x= sin (y). Slope of tangent line is  = dx/dy Differentiation of sine is cos .

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Q: 63; Evaluate the întegral +3 dx + 6xy dy where Cay Curve Joininy (t, -) to (16, I),

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A: We will find out the required value.

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

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A: Given X=t+ 2 sinπt        and   y = 3t- cosπt We have to find dy/dx at t=12 Method used  Chain…

Q: Let C be the curve represented by the equations X = 4t, y = t², (0 ≤ t ≤ 1). In each part, evaluate…

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Q: Find the tangent line at t=1/2 for the graph given by x=4+4ln(2t) and y=t2+10 for all Real numbers…

A: The given curves are x = 4+4ln(2t) and y = t^2+10.In order to find the tangent line, first find the…

Q: Ernd the area of the shaded rearon o the r= cos 2A 01011 4 1 0--1- 7ven ST 041 112 1世學1S 01ル 6. 10…

A: The equation of the curve is r=cos2θ.

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A: First find derivative then equation of normal line ,and point of coordinate axes and then use…

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Q: Consider the integral (x) dx where f(x) is a smooth continuous curve. One or more of the following…

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Q: b) For the following integration use composite Simpson's rule to get its value: J0.5 (x2+2x+3) You…

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Q: Use u-substitution to compute integral for question G2 please.

A: Factor out sqrt(x) from the denominator: