Evaluate 09 9121IN N OC 2 01 2 1 2 I -1²-2 dydx.

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Q: 9 == find f'(x) using the limit definition of the derivative. x Given f(x) = f'(x)=

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 e-{2}- L²s² + n²π² 2_2

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Q: ← Screenshot (1913).png + New 0 My Drive Computers Shared with me Recent Starred Trash Storage 7.8…

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Q: ← + New ▶ LO (F ☆ 0 Screenshot (1907).png 2011- Files Find the Wronskian of two the functions y₁ =…

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Q: -9-8-7 6 5 4 3 C Ce N f 5 w N www T P Mar www ww S d Write an equation for the ellipse graphed in…

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Q: Find the value of (2) for a solution (x) to the initial value problem: y" + 4y + 4y = 2x + 6; y(0) =…

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Q: If r(t) = (t5, t, t²), find r'(t), T(1), r”(t), and r'(t) × r"(t). r'(t) = T(1) = r"(t) r'(t) x r(t)…

A: Given :rt=<t6, t, t2>

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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A: As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Law: ddxxn=nxn-1 And a·f'=a·f', where…

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A: Given integral is ∫C3x2+y2dx+2xydy , where curve C:x=cos(t), y=sin(t), 0≤t≤π2 We need to find the…

Q: 2 Short response Question 9. (Some formulas from Euclid in coordinates) Include pictures for each…

A: (1) d(x) = (x-a)2+(mx-b)2 we know the distance between (x1,y1) ,  (x2,y2)  is x2-x12(y2-y1)2

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

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Q: 3. Find the value of (T) for a solution (x) to the initial value problem: y" + 25y = 10 cos 5x; y(0)…

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Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

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Q: 14. The solution of the differential equation: (D-2)³y = e2²x is k a) y = (₁ + c₂x)e²x + xe²x b) y =…

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Q: Find the general solution to the linear differential equation: y" - y' - 2y = 0 O y = C₁e²x + С₂е¯x…

A: Given that a linear differential equation y''-y'-2y=0. We need to find the solution of this linear…

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Q: The shaded area bounded by y=x^2 and y=x^3 is 0.016 0.083 O 0.055 O 0.16 (1, 1)

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Q: Solve for x at y=1; (1+y^2)dx + 2xy dy=0; y(-5)=2

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Q: Use the Integral Test to determine whether the sum converges. ∞     n = 1 4n 1 + n4 Evaluate the…

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Q: S-ydx + xd - ydx + xdy, C: y² = 3x from (3,3) to (0,0) O 4 O O 2

A: Solution is given below:

Q: Differentiate the following functions. Show complete work f(x) = (tan x)*² b) _g(x) =…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}…

A: Given function f(t)=(et-e-t)2  f(t)=e2t+e-2t-2×et×e-tf(t)=e2t+e-2t-2   Formula L(eat)=1s-aL(c)=cs

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A: Given: function f(x)=-1+x1-xwe know that11-x=1+x+x2+x3+..........=∑xn0∞where…

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Q: Calculate the indicated Riemann sum S3 for the function f(x) = x² - 8x - 48. Partition [0,6] into…

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Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Which are the foci of the ellipse represented by 25x² + 16y² = 400?

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Q: Which of the following functions are solutions of the differential equation y - 3y = 6 ? 0 O y = -2…

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Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

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Q: The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

A: Given: y=sin(0.5x)

Q: the degree of the following polynomials functions: a. f(x) = x^5  b. f(x) = (x^2)^3  c. A cubic…

A: Given the query is to find the degree of the polynomial.

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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