Find V. (V × F), if F(x, y, z) = 3e²*i+9xe*j – 4ev*k V· (V × F) =|

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A: We have to solve above integral

Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[-3f(x)² – 49(x)] = -4 %3| True O False

A: Given: limx→afx=2 and  limx→agx=4.

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A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

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A: Given problem:- Factor the expression 1-2cos2(x)+cos4(x)

Q: A Find the area bounded by the curves, the axis and the given values of x. Sketch the graph. 1.…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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Q: proportional

A: We will solve the problem.

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Q: sid problem: |-Int in 200 =lin %3D

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Q: 1. Let -1 -5] 3 -7 3 -6 -3 A = B= 6. 5 -3 -2 4 2 | -3 Determine which (if any) of the following…

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Q: Find the conservative vector field for the potential function by finding its gradient. g(r, y, :) +

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Q: a) Determine the position function, s(t), of an object if the acceleration is a(t) = 5t , (3) = 0,…

A: We know that a= dvdt, v= dsdt In particular, when velocity is positive on an interval, we can find…

Q: Q2: Solve the following integrals:- (1) fx² sin x dx (2) f dx 4x2- xp: (3)f x sin(x + 1)dx

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Q: C. Find the general solution of the given variable separable equation. 1. 2cosx cosy dx - 3Isin x…

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Q: Find the distance from A to C across the gorge illustrated in the figure. 130 ft The distance from A…

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Q: Solve using product rule d(uv) = u dv + v du: f(x) = (3x^2 – x + 4) (2x^2 – 1)

A: Our Aim is to solve the given function using the Product Rule where f(x)=(3x2-x+4)(2x2-1)

Q: Given z = f(а, у), а — г(и, v), у — у(и, v), with 2(0, 2) = 1 and y(0,2) 4, calculate z,u(0, 2) in…

A: We have to find the value of zu(0,2).

Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

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Q: QIN Evaulate : f v2 + cos4t sin4t dt

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Q: Find 8 i8 Z = -12 ti2

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

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Q: A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with…

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Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: Q2) Find the integral of: 6 tan*x dx

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Q: The length of the curve determined by equations x = t² and y = t from t = 0 to t = 4 is %3D %3D %3D…

A: The objective of the question is determine the length of the curve.

Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: Consider h(x, Y, z) = cos (xy) + eY% + ln (xz). Determine the directional derivative of h at the…

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Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: pythagoras theorem hypotenuse=altitude2+base2 given altitude y=-4     here altitude is a side which…

Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: 5. What is the general solution of the following differential equation ( .6³yod?y =0)? ,d*y +9. dx2…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4.x + 2y + z subject to æ + y…

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Q: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

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Q: APPLICATIONS The height of an object that is traveling through the air can be well modeled by a…

A: Explained below

Q: 1. Find fa(x, y) and fy(x, y) given f(x, y) = (csc y) Arcsin(r2).

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Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

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Q: d Calculate ri(t) r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Find fr(x, y) and fy(x, y) given f(, y) = (csc y) Arcsin(x²). %3D

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Q: 2. ydx + (3x – xy + 2)dy = 0

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