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?

Q: g(x, y) = x- y2 + V3sec-1 (2xy), Po (1, 1), A = 12 i + 5j

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Q: Set up a definite integral for the length of the curve y = x3 over [1, 2]. Set up the integral and…

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Q: tan (Int) dt

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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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Q: (c) S, y*/1- y² dy

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Q: Show that 127 = -16(mod 13) and show that 300 = 1(mod 13).

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Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: Given: Dx be the linear transformation from C'a,b into Ca,b. To find: Preimage of the function…

Q: + dy-39 sin ax y co) y'o) =12

A: Laplace transferom for the differential equation

Q: dy Find the derivatives dx of the following functions csin x Vt2 + 1 dt 2

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Q: Find the interval on which the curve dt 3 +t + 212 y = is concave upward.

A: Given: y=∫1x13+t+2t2dt

Q: Find the derivative of the function at Po in the direction of A. 1(x.y.z) = - 2 e* cos (yz),…

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Q: 3. J2sec (w) - 8csc(w)cot(w) dw from w = л/6 to w = π/3

A: Please see the below picture for detailed solution.

Q: A particle moves in a plane according to -t, x = (t+1)e; y=2tet -t Determine the simplified…

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Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

A: Given is a differential equation:12.7y''+68.58y'+153y=0.289y+1To find the complementary equation of…

Q: a) = 2, giving your answer to 2 decimal places if Find the gradient of the curve y at the point a…

A: Given function  Gradient of function y is given as follows

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.

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: 27 dr = iex+ h where a, b> 0. Prove that

A: Prove that , ∫-∞∞e2xae3x+bdx=2π33a23b13

Q: If f(x, y, z) = 7xy²z³ + arcsin(x√z), find fx [Hint: Which order of differentiation is easiest?]…

A: If fx, y, z=7xy2z3+arcsinxz, then to find fxzy.

Q: Set up but DO NOT EVALUATE an integral representing the area in one loop of the curve r = sin(30)…

A: Solve by using integration.

Q: Find the derivative of the function at P.(0,0,0) in the direction of B. f(x, y, z) = 3e* cos yz,…

A: Directional derivative of the function.

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

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

Q: Use a tangent plane to approximate the value of the following function at the point…

A: If the function is fx,y=arctanxy2-699 So, fxx,y=y21+xy2-6992fyx,y=2xy1+xy2-6992 Now,…

Q: de Use contour integration to evaluate the real definite integral 17- 8сos(®

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