²y"+xy¹+y=0; y(1)=1; y'(1)=2

Q: y"-9y= 9 e³x

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Q: Select all that is true: If the slope of the tangent line to a given curve is given by where and are…

A: Given:- dydx=px,yqx,y

Q: Refer to the graph of y = f(a) with secant line PQ and tangent line PS. O PQ O PR O QR OQS OOO…

A: By the definition of dy  dy = f(x+ ∇ x) - f(x)

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x - 2x² and…

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Q: Question 11 Evaluate the definite integral. [ sin(2t)dt > Next Question

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Q: Find the radius of convergence R of the series. 2" (x + 5)^ √n R = Σ n=1 I = H|N 1 2 Find the…

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Q: Evaluate: [; 1 1+x+|x| dx

A: To evaluate the given integral

Q: Rewrite the equation of the ellipse in standard form and graph it below by dragging the center,…

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Q: To measure cover the height of the cloud worker shines a spotlight upward at an angle 75° from the…

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Q: What is [cs csc x cotx tan(csc x) dx?? O In cos a C + O None of these. O ln sec(csc x)| + C O ln cos…

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Q: What is the value of 22 1 110 O 21 S 0 x(1-x) dx?

A: Given ∫01x(1-x9)dx   The objective is to evaluate the integral.

Q: So = 1 x²-8x+7 -da. If you like you may use the table to check your work, but show how to integrate…

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Q: I Use Trigonometric Substitution to find the indefinite integral O None of these. In 3 +√9-2² - In|x…

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Q: 2. Consider the region bounded by y= ln(x-1 -1), y=2-x and x = 4 (see the figure on the right). a.…

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Q: Suppose that the radius of convergence of the power series    cn xn is R.      What is the radius…

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Q: the function y = 2x+3 x+2 do the following. Asymptotes ntervals of Increase or Decrease Local…

A: We will find the required

Q: Given f(x, y) Evaluate f(10, 8) f(10, 8) = 70x +90y - 5x² - 4y² - xy =

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Q: On which of the following intervals can the domain of y = cos x be restricted so that an inverse…

A: Given    y =cos x The value of cos x can vary from -1 to 1

Q: f(x, y) = fx ( - 2, 2) = 2 2 3x² + 5y²

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Q: 3. Find the centroid of a thin flat plate covering the region enclosed by the parabolas y = x² − 3…

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Q: Consider the functions y = (x - 2)² +3. 13. a. Find the inverse of the function. b. Find f-¹(-4). If…

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Q: Suppose F(4) = 6, F(6) = − 4, and F'(x) = f(x). 6 L² (2x²4 + 4 (x² + 4ƒ(x) + 10) dx

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Q: INIL Find in sin (1 + 2x) + xy = ecosy dy dx

A: We need to find derivative.

Q: Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³…

A: NOTE: Refresh your page if you can't see any equations. . here we have . so vector v1, v2, and v3…

Q: What is 1 da x√9x² - 9

A: Given,            ∫dxx9x2-9

Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: Let* (t) = (-5t² +4,t³-14, 21³). Find the line (L) tangent to (t) at the point (-1,0,2) L:(x, y, z)=…

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Q: Determine a value for s so that f(x) = sx2− 6x + 2 has a minimum at x=1   s____

A: Given query is to find the value of a.

Q: Solve the following rational equation for x: 4 x²+2x-3 x-1¹ x+3

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Q: Refer to the graph of y = f (x) with secant line PQ and tangent line PS. QR RS OQS O PQ f(x+Ax) O PR…

A: Please see the below answer.

Q: Evaluate the integral. 16 4 6 sinh (Vx) √x dx

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Q: b) Look for the power series representation of In(1 + ax) by integrating term by term from 0 to x a…

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Q: If G(x) is an antiderivative of f(x) = 2 + sinx and G(0) = -1-2, what is G(T)? O None of these. -3 3…

A: Given that Gx is an antiderivative of fx=2+sin x and G0=-1-2π. We have to find the value of Gπ.

Q: O O Let F(s) = O est 5 e5t 5 est 5 + 6|5 t 5 O 6e5t 5 None of the others 1 s²-5 s 1 5 then £¹{F(s)}…

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Q: 8) The Bernoulli's equation += dz NIH 2 218 I can be reduced to which linear differential equation?…

A: Ode

Q: Explain why the following is NOT continuous at x=3. What type of discontinuity is it? USE A LIMIT…

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Q: 1. Evaluate fF.dr, where O F(x, y, z) = (-7 sin (ra)-yz, n cos (ry) - yx, -ry), and C is any path…

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Q: 4. Find the following limits. In(x) x-1 1-e(x²-1) a) lim b) lim t→-5 c) lim √2t + 10 - 2 t-5 In(In…

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Q: Use L'Hopital's Rule to find the limit or state that the limit does not exist (DNE): tan (√5x) 10x…

A: Given,           limx→0tan5x10xTo find : Use L'Hospital's Rule to find the limitWe kno that,…

Q: Use the definition of a Maclaurin series to find the first four nonzero terms of the series for f(x)…

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Q: L=¹{F(s)} = ? O Let F(s) = O f(t)=e-8 tsin(√7t) O None of the others O 1 O 1 s²+16s+71 f(t)=…

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Q: Over the next 20 years, a company projects its continuous flow of revenue to be R(x) = 80e0.05%…

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Q: Find the area of region enclosed by=t-t², y=t-t³, 0≤t≤1 using Green's Theorem.

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Q: Find the vector equation that represents the curve of intersection of the paraboloid 2=2x²+y² and…

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Q: Let g(x) f*f f(t) dt, where fis the function whose graph is shown. 0 1 3 f 6 9 A. Find g(3) B. Find…

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Q: The masses m; are located at the points P₁. Find the moments Mx and My and the center of mass of the…

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Q: gular poster is to contain 200 square inches of print. The margins at the top and bottom of the…

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Q: Determine the limit. If it doesn't exist, tell me why. lim f(x) (A) x-3 X1 2.9 2.99 2.999 2.9999 3…

A: Table of values and graph of the function is given, we have to find the required limits.

Q: If 6 what is H (x) = f(g(x)) H'(x) H'(x) = f'(x) g'(x) (x') H'(x) = f'(g(x)) None of these H'(x) =…

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Q: In 1994, the moose population in a park was measured to be 4490. By 1999, the population was…

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