dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

Q: To evaluate the integral xe2" da using integration by parts, the best choices for u and dv are: u =…

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Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: 1. Find the maximum value of r+y subject to the constraint r+ y = 18.

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Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: 3. Let f(r, y) =rsin ry. Find: %3D (a) fz(I, y) (b) fy(r, y) (c) fyy(1, 9) (d) fyz(r, y)

A: Given f(x,y)=xsin(xy) Now fx= d/dx (f(x,y)) fy= d/dy (f(x,y)) fxx= d/dx(fx(x,y)) fyy= d/dy (fy(x,y))…

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

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

Q: Ella is building a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs…

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Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

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

Q: Determine whether the statement is true or false. If g(x) = f(x)sin x, then g'(0) = f(0). O True O…

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Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

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Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

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Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

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Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: dy Suppose 12e3t and y(0) = 5. || dt What is y(2)? O 1505.7 O 1614.7 O 1635.7 O 1714.7

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Q: Completely factor the given polynomial 81-y⁴

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: (x² (а3 — 2)da 4x +

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Q: Find the radius of convergence for: 5"z" Σ n!

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Q: lim *+1) x-l x+3

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Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: 4. Find the absolute extrema of the function f(r, y) = ry-I-3y on with vertices (0,0), (0, 4), and…

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Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

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Q: Jse Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

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Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes. point…

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Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: p(x) = sin x cos x %3D Select the correct response: O tan x O cos r – sin? r 2 O sin? r - cos? a x –…

A: To find the derivative of given function.

Q: how to convert 27 inches into yards by finding an equivalent rate

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Q: Evaluate the following double integral 3 a) Evaluate S T 8xy dxdy=? 0, b) Evaluate the following…

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Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: Father will fence a circular garden whose radius is 3.5m/ How many meters of fencing material will…

A: Father will fence a circular garden whose radius is 3.5m

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: Find dy/dx: а. y = cos t dt

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