1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed F and curve C. a. F= (xy)i + (v²)j where C: is bounded by the curves y = x² and y = x in the first quadrant.

Q: 4.

A: Given query is to find series converges or diverges.

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Q: 3. Use the fact that F = is a conservative vector field to evaluate SF. dr when C is the path r(t)…

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Q: 3. Identifying curves For each of the sets of parametric equations, eliminate the parameter to get a…

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Q: There is a power plant that charges 10 cents per kilowatt hour for electricity and produces 1,000…

A: Given query is to find marginal cost.

Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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A: Given, f(t)=y=25t²-300t+600 The given equation is that of a parabola. It is of the form,…

Q: Find the derivative. Simplify where possible. |(a) y = ln(coshx)

A: Find the derivatives

Q: 4x3/2-1 (a) f(x) = (b) g(x) = 3e" +sec? a h(x) = 8 sin x (c) 4 1+x? (d) f(1) = 5 cos x V1-a2

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Q: A B C D E F 1. x2 + 4y? + 9z? = 1 2. 9x? + 4y + z? 1 3. x? – y? + z? = 1 4. –x? + y – z? = 1

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Q: The rule of the derivative of a function f is given. Find the location of all local extrema. F(x) =…

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Q: Given two functions h(t) and g(t), is h'g (t) = (hg)t). Select one: O True O False ge

A: Given ,Two functions h(t) and g(t) So, Let h(t) = t and g(t) = 2t Now, h(t) = t , finding h-1(t) : y…

Q: O b. 5/6

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Q: d(x,y) . Solve the system u = 4x + 3y, v=x+4y for x and y in terms of u and v. Then find the value…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find f. f"(e) = sin(e) + cos(e), f(0) = 5, f(0) = 4

A: f''(θ)=sin(θ)+cos(θ)Integrate with respect to θf'(θ)=∫sin(θ)+cos(θ) dθ f'(θ) =-cos(θ)+sin(θ)+C1Again…

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx : lim f(x;)Ax n-…

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Q: 1. Evaluate the double integral ty dA, where R is the region in ry-plane between the circles of…

A: Given problem:-

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Q: x arctan xdx

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Q: a) lim f(x) b) lim f(x) c) lim f(x) d) f(0)

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Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.

Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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Q: The integral x sin y dy dx is equal to: Select one: O -3 O 18 О 2 O None of them /2 7/2

A: Integration by parts is used

Q: 12. An open box with square base is to be made from 1 200 cm² of materials. What will be its…

A: Suppose x is the length/width of the square base and h be the height of the base. So, the volume of…

Q: 7 p(x) = iven the expression Vy7 – 2 this mathematical expression stated correctly.

A: Given query is to find expression is correct or not.

Q: f(x) 8 -7- -6- 5- -3- -7 -6 -5 -4 -2 -1 0 2 3 5 9. 7. 9 10 11 12 -1- 9, 2.

A: Here we need to answer some basic questions based on the graph.

Q: 3. nn'+n+lo nニ

A: We have to find if the given series is convergent or divergent.

Q: If a ball is given a push so that it has an initial velocity of 3 m/s down a certain inclined plane,…

A: Given query is to find the velocity function ate time to reach the velocity 45 m/s.

Q: If 0 = 3 then sin(0) = %3D cos(e) = %3D Give exact values. No decimals allowed! Question Help: Video…

A: Given that θ=-1π3To compute sin (θ) and cos(θ)Now , sin(θ)=sin(-1π3)=-sin(1π3)…

Q: 10. Evaluate the following integrals (a) L x²+1 (b) J 군TT 1 x2 –6x+13' d.x

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Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

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Q: Given the triangle below, find the angle 0 in radians. Round to four decimal places. 7 4 Provide…

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Q: ALL of the following are properties of continuous functions except a. h/b is continuous at x = a…

A: given

Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: 4 dx x2 4x2 - -- x2

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Q: Find and describe the intersection of the following planes: T:3x+2y+5z-4 = 0 T: 4x-3y+=+1=0

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Q: 1 4 9 16 25 0, 2'3'4' - 5' 6 an Enter your answer here Or write it out and upload: Please select…

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Q: Solve: y" + 4y" + 29y' = 0 O y = C1 + C2e5ª cos2x + C3e5" sin2x -2а O y = C1 + C2e¬2ª cos5x + C3e¬2®…

A: Find your answer below

Q: Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3 (a) Sketch the…

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Q: Verify that if c is a constant, then the following piecewise-defined function satisfies the…

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Q: Question 12A.)

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Q: A = (; ) .3

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Q: function / (t) = - 0.2t +3t +100 for 0 sts9 gives the CPI of an economy, where t = 0 corresponds to…

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Q: 2. Find the work done by F in moving a particle once counterclockwise around the given curve C F =…

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Q: The enclosed area between y= 3 x and y= 6/x is evaluated by 36 3 dxdy. 0, 3 x ApxpbJ O None of he…

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Q: finite difference du n. = 0 en 0 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0<x <…

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Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)

Q: The integral 5x – y dA =49 if R R={(x,y): 2<x< 4, 5< y < 6 } Select one: O True O False

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Q: 1. Let R be the region bounded by the graph of f(x) = 2x² – x + 2 and x-axis F31 between x = 1 and x…

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Q: (-1)"-1 (In n)" 00 23. E n=2

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