Write the expression as an algebraic expression in u, u>0. cos [tan-¹)]

Q: M (3) 20 최대 n=2 1 8 H "n=1^²+1

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Q: Find the area of the surface generated by revolving the curve about the given axis. (Round your…

A: Solve the following

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 3 y(x) =

A: We need to solve D.E.

Q: Find the function whose tangent line has the slope e for each value of x and whose graph passes…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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

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

A: The indicated function y1x is a solution of the given differential equation.By using the reduction…

Q: yP=A ex+Bex What y

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Q: Find the area of the surface generated when y² = 12x is revolved about the x- axis from x = 0 to x =…

A: Given curve,y2 = 12xRevolved about x-axis from x=0 to x=3.

Q: When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the…

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Q: 1 (2+√3)

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Topic = Coordinate geometry

Q: -3 Evaluate the integral ſ² ſ² ſ²₁ xz(y + 1)dxdydz

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Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

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Q: 2 Solve the following ODES by Inverse Operator m. ℗ 2 (D³² +1) y = cos x Ans & Y = C₁ C3 x + C₂ sinx…

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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: 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: The rectangular coordinates of a point are given. Plot the point. (1, 2) -3 O -3 -2 (r, 0) = -2 -1…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Determine whether y = = 48y + 3y" 0 = Enter either YES or NO. -2 cos(4x) is a solution of the…

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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 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 maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A: The given function is;  f(x,y,z)=3x-y-3z Constraints x2+2z2=144 and x+y-z=3.

Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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

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Q: Find the surface area of the torus generated by revolving the circle given by r = 2a about the line…

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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: The tangent line to the curve il me f(a) at 2 m 1 goes through the points y=f(x) x == and Find 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: 3 y = (₁ ² +1) ² Gi Find 13y dx²

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Q: 74 +82-16-0

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Q: yP=A ex+Bex шкатур

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Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

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

A: Given problem:- Consider the following planes. - 6x + y + z = 6 24x - 4y + 6z = 36   (a) Find the…

Q: 2 Solve the following ODES by Inverse Operator method (B²+1) y = cos x Ans: y=C₁ C3 X + C₂ sinx +…

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Q: Consider the integral [ 92 (1) 64 3√z ſ** *³** ƒ(x, y)dydz. Sketch the region of integration and…

A: We can solve this as follows:

Q: 1. Simplify fully. Write each expression with positive exponents only: 6a -b √√-270x (2a 5-32 √9(x)⁰…

A: Follow the procedure given below.

Q: Determine whether the given set of functions is linearly independent on the interval (-0⁰, 00).…

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Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Solve the following by indicating the steps and describe the process: sinx dx SCOS² 1.

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

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: A real estate office manages an apartment complex with 50 units. When the rent is $650 per month,…

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Q: I 44. Solve the initial value problem: EL y""-2y"-y' + 2y = 0; y(0) = 2, y'(0) = 3, y"(0) = 5.

A: The solution is given below

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

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

A: Solve the following

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given that the plane passes through the point 18, -16, 9 and contains the line given by x2 = y-4-1 =…