Find the area of the region enclosed by x² and y integrating with respect to y. the curves Y = 4x by (4, 16) y = 4x NOTE: Enter the exact answer as an improper fraction if necessary. А y = x² 4

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A: Given : r=(5-3t)i-8tj

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A: To evaluate the given limit.limx→0 e2x-e-2xsin x

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Q: Question 5 Find the surface area of that portion of the surface z = V4 -x that lies above the…

A: Option (B) is correct

Q: 2. Find the area of the parallelogram whose vertices are given by: P: (1,2, –1), P2 = (4, 2, -3), P3…

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Q: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

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Q: 1-sine Evaluate the iterated integrals J. J. r2 cose dr de A) 1 B 2 c) o D) 3

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Q: Let f(x) = 9x* + nx² + e2x. Compute f((x). (Use symbolic notation and fractions where needed.) p)…

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Q: Evaluate the integral / (2x + 6y)dx + (15x – y)dy a C arc y = x² from (0,0) to (1, 1). NOTE: Enter…

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Q: Find the unit tangent vector to the curve at t r(t) = t°i + 3t?j, t= 2 T(2) =

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Q: 'ind the area of the region that is enclosed by the cardiod = 20 + 20 sin 0. OTE: Enter the exact…

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Q: Question 3 Express the area of the given surface as an iterated double integral, and then find the…

A: Let's find.

Q: y+1 - Z 4. Find the distance between the lines = z and x = 3 %3D -2

A: topic- distance between lines

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Q: Use double integration to find the volume of the solid bounded by the paraboloid Z = 9x + y, below…

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A: Let's find.

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Q: Find lim f(x) for the given piecewise function. x-4 2х + 5 if x 4 If the limit does not exist,…

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3…

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Q: Question 7 Find the area of the region(s) enclosed by the curve f(x) = x³, the x-axis, and the lines…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: Directional derivative: D f = del f • unit vector of direction

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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A: Given problem:- The productivity of a major manufacturer of microwave ovens is given approximately…

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A: Our Aim is to evaluate the integral by integration by partsI=∫xx+13/2 dx  -(i)

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A: Directional derivative of a function f(x,y) at a point P(a,b) in the direction of the vector v=ai+bj…

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Q: Find V · (F × G), if F(x, y, z) = 2xi+j+14yk and G(x, y, z) = xi + yj – zk. | V · (F x G) =

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Q: Question 13 2 Evaluate the iterated integral. yz dx dz dy

A: Evaluate the iterated integral .

Q: Find the area of the region(s) enclosed by the curv

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Q: Determine the derivative of у. /20x+6 y = ev y =

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Q: The strength E of an electric field at a point (x, y, z) due to an infinitely long charged wire…

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Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x? cos(x) (Use…

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Q: Find the area of the region enclosed by the curves y = x² and y integrating with respect to y. = 6x…

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Q: dy Solve the derivative dx for the function: x = e'sint ; y = etcost

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