Find the equation of the level surface of the function g(x,y,z)=x^2+y^2+z^2-2x+4y-6z corresponding to c=2 and describe the surface if possible.

Q: Find the work done by the force field F(x, y, z) = 4xi + 4yj + 6k on a particle that moves along the…

A: Explanation of the answer is as follows

Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: 2 termis U

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Q: Use the Trapezoidal Rule to approximate the area under the curve ƒ(x) = 3x² x on the interval [2,…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Find the exact value of cos 2x given that sinx= - 3 and x is in quadrant III.

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Q: X: 1 2 Y: 2 4 3456 7 9 12 14 What is the correlation coefficient for variables x and y? a..950 b.…

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Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Solve the differential equation by variation of parameters. 1 4 + e* y" + 3y + 2y = Step 1 We are…

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Q: Estimate the minimum number of subintervals needed to approximate the following integral with an…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Express the following limit as an integral. lim 1-00- TL i=1 (2 (27)¹ + 3) 8-91 Ar over [1,6]

A: Note : As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: 3 y = 2x² −X(² 3014-202 2 Find day doc 2

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Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

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Q: Find the limit of the following sequence or determine that the limit does not exist. {n sin()}

A: Solve the following

Q: nd the largest oper 1 Where f(x)=x²

A: topic:- calculus

Q: 1 (2+√3)

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.)…

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Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6…

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Q: Find the degree of the polynomial y = 3x² + 4x5 - 5+x8

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Q: Solve the following two Euler's differential equations: (a) x²y" - 7xy' + 16y = 0 (b) x²y" + 3xy' +…

A: The given Euler's differential equations are a) x2y''-7xy'+16y=0b) x2y''+3xy'+4y=0

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

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Q: 4. A tank with a volume of 1800 gallons originally contains 1200 gallons of fresh water. The first…

A: Follow the procedure given below.

Q: Let Compute θω -(2, -3) = 28 მs дw -(2, -3) = Ət w = 4xy-yz - 3xz, x = st, y = est, z = ²

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Q: Find the exact value of the function. √7 3' В tan given tan ß= E 2₁ with 180° <B<270° В 2 (Type an…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 3 1 - x + 3y + z = 4 -½-X 2 Find the normal…

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Q: Use the trapezoidal rule with four subintervals to estimate the following integral: 50.8 x³ dx

A: The given integral ∫00.8x3dx

Q: H J A: x = B: x= C: x = D: x= E: x= F: x= G: x= H: x= Identify the points of the circle above. 1: x=…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The given differential equation is already in standard form, as the coefficient of the highest order…

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Q: (a) to x = 8. Find the area of the region enclosed by y = x² - 4x and y = 2x from x = -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Determine whether or not the series converges. State clearly the test you use, and show all…

A: We have to check the convergence

Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

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Q: a drug is injected into the bloodstream of a patient through the right arm, the drug ntration in the…

A: Topic:- application of derivatives

Q: Find the area enclosed by the two polar graphs: 1 = 3 and r2 = 6 sin 0. ³/2 (2πT + 2π + 3√/3) A) 3…

A: To find the area enclosed by the polar graphs: r1=3 and r2=6 sin θ.

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find a general solution (implicit if necessary, explicit if possible) of the differential dy…

A: The given differential equation is dydx=2xy

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: y, 4e* In y, x = In (u cos v), y = u sin v; 4e* In (u, v) = (2, π/4) 7. z =

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Q: y = (201³ - 6) Find d²y da 3 9

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Q: 2. Write the repeating decimal 0.09 = 0.0909090909 first as a geometric series and then as a…

A: Given :0.09=0.0909090909...

Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(4, 2) = 5 and y(4,2)= 1, calculate zu(4, 2) in…

A: Given that z = f(x,y) , x =x(u,v) , y=y(u,v)  we have to find zu(4,2)

Q: For the following problems, draw graphs of f (x), which is continuous, over the interval [-4, 4]…

A: The function fx is continuous on the interval -4,4 and has absolute maximum at x=2 and has absolute…

Q: Given f(6)=3, f′(6)=11, g(6)=−1, and g′(6)=7, find the values of the following (a) (fg)′(6)= (b)…

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Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral