72. Function f(x) = cos 2x, π 0<< 2 Real Number a = 1

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2,9) 2 O V= 32 parallel…

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Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1&lt;x&lt;1

Q: 5. An object has a constant acceleration of 10 ft/sec², an initial velocity of -20 ft/sec, and an…

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Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

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Q: Find angle t [in EXACT form] for the following terminal points on a unit circle, 0≤ t < 2π (a) P(0,…

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Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

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Q: A ball is thrown into the air and it's position is given h(t)=-4.9t + 60t + 5cm. Find the hight at…

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Q: (c) A particle is moving such that its instantaneous speed as a function of time t (s) is given as…

A: A particle is moving such that its instantaneous speed as a function of time t s is given as…

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

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: Determine the equation of the tangent line to x+1 22+1 at x = X= G

A: Given equation, y=x+1x2+1

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

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Given f(x) below, find f'(x). f(x) = z" t' dt √z

A: See this solution in below

Q: y = (201³ - 6) Find d²y da 3 9

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Q: Find the local and/or absolute maxima for the functions of the specified domain. Y= 1/(x-x^2) over…

A: Here we have to use the concept of derivatives. Here we use second derivatives test for finding…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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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: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: Find the volume of parallelepiped

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: This question is related to equation of straight line in three dimensions, we will solve it using…

Q: 1 (2+ √y)

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Q: Determine whether the given set of functions is linearly dependent or linearly independent on the…

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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: Evaluate the triple integral of f(x, y, z) = cos(x² + y²) over the solid cylinder with height 8 and…

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Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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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: Consider the following second-order differential equation. 6y" + y = 0 Find all the roots of the…

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Q: Write an expression for the polynomial of least possible degree graphed below. Leave your answ…

A: The solution is given below

Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

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Q: Complete the missing ones: (those highlighted ones) Integrate: [ tan5 3x sec6 3x dx [ tan³ 3x sec 3x…

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Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: Find the derivative of each function. Show all your work and simplify the result completely. a un…

A: We can answer both the question as below.

Q: Find k, given f(x, y) = k(y² + xy) and [ [ f(x, y) dxdy = 54 R R=0 < x < y < 2

A: Given problem:- Find k, given f(x, y) = k(y² + xy)  And ∫∫R f(x, y) dx dy=54 where R…

Q: 27. Calculate the work required to lift a 10-m chain over the side of a building (Figure 13) Assume…

A: We need to determine work.

Q: A population is growing according to the logistic model 5500 1+ 4.8 1.9t N = where t is the time in…

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Q: Solve the given differential equation by undetermined coefficients. y" + 6y' + 5y = 10 y(x) =

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Q: Problem 1 Prove that lim |_ 5 = 3,

A: To prove that limx→2x-5=3

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: on the closed triangular region with vertices (0, 0), (9, 0) and (9, 11). List the minimum/maximum…

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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 =…

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

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Q: From the point (5,12,13) on the surface of g(x, y) = √x² + y², find the direction of maximum…

A: The gradient vector is a vector made up of all the partials of a given function. We compute it by…

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: Express in exact form: In(x² + 1)dx

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Q: We have verified that x² and x5 are linearly independent solutions of the following second-order,…

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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: Complete the missing ones: (those highlighted ones) Integrate: 2x [cscs (²) dx SC 3 [csc (3) dx =…

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