y = (3+ e-2") V1 – e2al

Q: -dx is an improper integral. A True B) False

A:

Q: 4. Consider the figure below. y=4 x Find the volume of the solid generated when the shaded area a.…

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Q: Solve the system of differential equations x' 60x + 126y l y' = 28x + 59y - x(0) = – 31, y(0) = – 14…

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Q: dx x² + 4

A: A detailed solution is given below.

Q: Evaluate the following definite integrals. 3. If f(x) = V19+f dt ,find f'(3).

A: We can solve as follows

Q: Question 4 Given the following equation, determine y'using the methods discussed in class a - y3 =…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=…

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Q: Find the equation which satisfies the separable differential equation dy – 18x dx with the initial…

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Q: Describe the graph of the equation. r = 12 sin 6t i – 12 cos 6t j O Itis a circle of radius 6 in the…

A: To find: Discribe the graph of the equation

Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

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Q: Find dy/dx. x = Vt y = 9-t dy dx

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Q: The derivative with respect to x of | (3Vi-1) dr is 3x – 1 by the 2nd fundamental theorem of…

A: Given that,         ∫3x3t-1dt

Q: For the linear transformation T: R2 → R2 given by a -b a A = b a find a and b such that T(3, 4) =…

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Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: Express py? dA as an iterated integral in the order dydr, where R is the region in the ry-plane…

A: Integral

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). 13 r(t) = 3 cos(3t)i+3 sin(3t)j + tk…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 3…

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Q: bounded by the graph of the function and the x-axis over the given interval. (Round your answer to…

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Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: af(x, y) If f(x, y, z) = , then is equal to dz

A: Given,  f(x,y,z)=x-zy-z

Q: Represent the following equations in R? by a vector-valued functions. Imet gaoglecomis shwing your n…

A: Given

Q: 2. sin 2wcos 2wcdw

A:

Q: arcsin = ab x² – Va² – y²; Find y'.

A:

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

A: Let's find.

Q: Question 3 Determine the derivative of ln(csc x) - cot x CSC I O csc x cot x

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Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

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Q: (x) = V19+r dt , find f'(3)

A: Given query is to find indicated derivative.

Q: Find the area of the loop. Round to 5 decimal places. Technology only for the integral. Do not…

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Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: Solve

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

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Q: Consider a surface defined by F(, y, z) = 0 whose gradient is (cos(Tx), z? e", 2ze"). The equation…

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Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

A:

Q: ex-e-x b. Find the inverse function of f (x)

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Q: Find curl(4z i + 5xj + 9y k). curi (4z i + 5xj + 9y k) = ( i )i + ( i Ok

A: We have to find out the curl

Q: dr 2 Vr*+3

A:

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

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Q: 4. a = 20 m [W 30°S] b = 30 m [W 40°N]. Find a - b. %3D %3D

A: We need to find a-b.

Q: | (ax³+bx²+cx) dr=2b | x²dx where a,b and c are constants. A True B False

A: To determine whether the given statement is True or False.∫-99ax3+bx2+cx dx=2b∫09x2 dx where a, b…

Q: dx (х -1)3

A:

Q: S Sec ta

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x33 sin(x34) dx Submit…

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Q: For the given function find dy/dx. = x + 2 %3D O y = 1-y-3x2-4x %3D 3y2 +2+2 O y = 1-a+3y-4x 322-y+2…

A: We know Implicit differentiation of ax+by=c is given by, a+bdydx=0 ddx(xn)=nxn-1 , for any real…

Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: 2. sin 2wcos 2wchw

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Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…