d²y dx² dy dx -+ 2y = cos (e-x)

Q: Suppose the revenue from producing (and selling) x units of a product is given by R(x) = 15x-.06x²…

A: To find marginal revenue at production level of 35.

Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: Evaluate the following integral. 48x² S dx (x-15)(x+5)²

A: Solution of given question is written in below steps.

Q: Use Euler's method with step size 0.1 to estimate y(0.4), where y(x) is the solution of the…

A: To solve the initial value problem.

Q: You are given the following information about the function f(x): a) Domain: {x ER} b) Vertical…

A: Solution :Given f'x=41-x2x2+12integrate both sides∫f'xdx=∫41-x2x2+12dxlet,…

Q: Find the producers' surplus at a price level of p = $61 for the price-supply equation below. p=…

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Q: d²y dx² - dy 4 + 7y=0 dx

A:

Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…

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Q: Find , given y = log(ev+x²). dy dx

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: 2 2. √(√x-3) dx

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: At which value of x is the function whose graph is shown below differentiable? 8 -8 -6 8 0=7 O=14…

A: To determine the value of x at which the function whose graph is shown below is differentiable.

Q: Find the area of the shaded region. y y=8x-r 15 (6, 12) 10 A y=2x 2 4 6 Step 1 To find the area…

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Q: 37) 1 Solve the following simultaneous linear D.E. [D+1 12 [+1 10+2 5D=210) = (2-1)

A:

Q: Asymptotic to x= 0, x=5 and y=0

A:

Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: You need a 50% alcohol solution. On hand, you have a 110 mL of a 10% alcohol mixture. You also have…

A:

Q: Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for…

A: The given sequence,x1=1, x2=1+1, x3=1+1+1

Q: dz - 6² 7 4 16 + Consider the integral 7² +16 du ONI - S = (2-16) a) I= /0 du O b) I 117 So u (u -…

A: Given :I=∫01dz7z+16

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A: Since you have posted more than one question, I can answer only first question for you

Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…

A:

Q: If f(x) = 2x²e*, find f'(1). 2e 6e 0 4e

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Draw the graph:-    y=0 ( x-axis)  and y=√(x-x2)

Q: B)Is w = Zez analytical function or not?

A:

Q: Evaluate the integral. 2 [ 11t sec-'t dt 2/√√3 2 S 11t sect dt = [ 2/√√3 (Type an exact answer,…

A:

Q: the complex number 6√3+6i in polar form O 12(cos(n/6)+isin(n/6) O 12(cos(n/4)+isin(n/4) O…

A: As we know that; The complex number z=a+ib can be written as polar form; z=rcosθ+isinθ Where;…

Q: B)Is w = Zez analytical function or not?

A: In this question, we want to know whether the given function is analytic or not.

Q: Find fx and fy, and evaluate each at the given point. f(x, y) = arctan(y/x) ;  (8, −8)

A:

Q: on. 2 2 x arctan(x²) --x)³ etermine the first three non-zero terms in the Maclaurin series for einz…

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

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Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

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Q: Solve for m ffm m(8xy + x?)dxdy =3, 0<y<x<1

A: we can solve as follows

Q: Using the Inverse Function Theorem, what is (-1) (8) given that /(x)=√6x-2? Note that (11) = 8. (Do…

A:

Q: Consider the following. de Use the substitution u = sin(0) to rewrite the given integral. SCC du The…

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Q: Use logarithmic differentiation to find y = x³ (5x + 3)¹ (2x - 1)5 dy dx given

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Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

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Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

A: We have to solve above given graph for volume.

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: a) y || (т. 3x 5x-x2 3

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

A:

Q: Q2A)Matrix A =[42],find Eigen values of A².

A: We need to find eigen values.

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: If f f(x) dx = 3 and I. III. [f(x)g (x)] dx = −6 III only I, II and III I only O II only g(x)dx =…

A:

Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

A:

Q: Use the limit comparison test to determine if the following series converges or diverges.…

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Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

A: