{(u)= (u² -3)*

Q: Show that the equation below is an inexact equation. Find the integrating factor in terms of t only ...

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Q: Which of the following functions are solutions of the differential equation y" + 16y = 64x? KE sin(4...

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Q: (b) Find the value of ? in factored form: 4. [3/ (x - 4)] = [((3x + 36) / ?] 5. [4/ (2x + 5)] = [? /...

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Q: V1-x² 2 dx

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Q: Solve the seperable differential equation 2yy' = x. Use the following initial condition: y(2) = 2. E...

A: We can solve the differential equation as below

Q: Graph the following of linear functions based on the method indicated. x + 3y = 9 (table of values)

A: Given problem:- Graph the following of linear functions based on the method indicated. x + 3y = 9 (t...

Q: За + 5; у 3 3а — 1; Let R be the region bounded by the straight lines y y = 10 – 4x; y = 8 – 4x. Con...

A: We have to sketch Region R and Reigon G

Q: Construct a truth table to show that (p Ag) - p is a tautology.

A: We need to construct a truth table and prove given is a tautology. 

Q: Find the Taylor polynomial T,(x) for the function f centered at the number a. f(x) = cos(x), a = T3(...

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Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: 1 dx V1 –x²

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Q: Approximate the sum of the series correct to within 0.00001. (-1)" Σ n6" n = 1

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

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Q: Consider the function below. x2 f(x) : x2 - 25

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Q: Se xe" ds. Cis the line segment from (0, 0, 0) to (1, 2, 3)

A: I am attaching image so that you understand each and every step.

Q: Determine where A(t)=t^2e^5-t is increasing and decreasing.

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Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: dx x2 | C 2 sin-Vx+C sin-Vx + C -2 sin-1Vx+ C sin-1x + C 2 - O A E None of the Above 12

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Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: xy = 4, y = x,y = 1; about the x-axis.

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Q: 15. f(x) = for every x E (-4,3] x+4 16. f(x) = sin (2) in the interval x 2-2 3 17. f(x) = { 2 - x2 i...

A: As per our guide lines we are advised to solve only first question. Please kindly upload other quest...

Q: solve for 0 ≤ Θ < 2pi    ,                                            Θ = theta -cosΘ+sinΘ=1

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Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

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

A: Here, given that u=9, v=2, θu=0°, θv=60°

Q: Evaluate the following series two ways: 4 4 3k k=1 3k+1 (a) Using a telescoping series argument. (b)...

A: Given that ∑k=1∞ 43k-43k+1a.431-432+432-433+433-434+434-435+......+43k-43k+1=431-43k+1=431-43∞+1=43

Q: dations. 1. sinx siny dx + cosx cosy dy = 0

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Q: A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material fo...

A: Find out the dimensions that will minimize the production cost.  

Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n = 1 n8"

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: Use differentiation to show that Sec'x + Csc¯'æ = for any a> 1.

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Q: 10s² – 5 L-1 (s² + 1)(s² + 3)²

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Q: r = sec(20)tan(28)

A: To find the derivative of the function.

Q: Suppose that f(x, y) 3, and D = {(x, y) | æ² + y² < 16}. Then the double integral of f(r, y) over D ...

A: Solved below

Q: 4. dx J x Inx VInx2 -1 A C - sec-1 (In xx) + C sec-1 - In x sec-1 (In x) + C + C In x. sec-1 O A В E...

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Q: Two entrances E and F to a gym are located 1 m away from a wall AB of length 4 m which is perpendicu...

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Q: Given the funcfion y = -x3 (x ta>(x-1)

A: Question- First Derivative Analysis 1. track intervals of increasing &amp; decreasing,so include a f...

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find. 

Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

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Q: 6. |x²e-2*dx

A: Solved below

Q: givens A = (-6,4,-8) and B = (8, 8, -2) find FIND: a unit vector in the direction of -A + 2B FIND: t...

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Q: Determine whether the sequence an arctan(6n20) converges or diverges. If it converges, find the limi...

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Q: 1. Write the equation for Sn, the nth term in the sequence of partial sums. Then determine the sum o...

A: follow next step

Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

Q: The limacon r = 2+ cos 0

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Q: Determine any three points on the plane given by 5x - 6y + 10z - 15  = 0. Using these points, give a...

A: The given plane is: 5x - 6y + 10z - 15  = 0. We have to find any three points on the plane. Using th...

Q: t in 30 minute please duopoly with homogeneous goods. There ar

A: When there are only two firms in the industry, it is in their advantage to collude and set the price...

Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: 8. Is the given point a Solution to this graph? (1,3) 1. -3 1- 3.

A: The solution of the given graph is at the point of intersection of the two lines.  

Q: Determine any planes that are parallel or identical. (Select all that apply.) O P1: -120x + 60y + 90...

A: We need to find planes that are parallel.

Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .