4. Evaluate •5 (4 – 2.x) dx - 2,

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A: Use the auxiliary equation for finding the other roots and general solution.

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A: We have to solve the differential equation  3xyy' = 5.

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Q: Use the Integral Test to determine whether the infinite series E is convergent. (Use symbolic…

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Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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A: We have to find the area of the enclosed portion.

Q: Use the graph to find the following limits and function value. a. lim f(x) x-2 b. lim f(x) x-2* to…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + tj dt

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 9t: r(t) = e"i+ etj

A: r(t)=e9t i +e-t jr'(t)=9e9t i -e-t j||r'(t)||=81 e18t+e-2tr''(t)=81e9t i +e-t…

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Q: 5n

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Q: 5. Evaluate the integral by interpreting it as an area 2 L(1 - 2) de |

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Q: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [- 3,4] c. Identify…

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Q: Solve the following differential equations of -2 x*y"+6xy' + 6y = x²

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 8 cos(t)i + 7 sin(t)j +…

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Q: at the point functron fts

A: The detailed solution is given below Thank you

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol o for…

A: Given: limx→∞ln(x)x7

Q: Apply the eigenvalue method to find the general solution of the system: X’1=-3x1-2x2 X’2=9x1+3x2

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Q: 1. Sx³Va? – x²dx

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A: Given query is to find the quantity for maximum revenue.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t-+∞\ 2t2 + 3' 4t (?, ?)

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Q: Solve the following integrals: 1. S 7e*dx 4. S 12*+1dx 5. S-dx 2. S(5ex – 6*)dx 3. Ј 3(5)dx 6.…

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Q: h) (3X 9'+4y)dx + (3 X'9 +2x) dj = 0 I) sin X dy dx Sin 2X -y cos X

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Q: Evaluate the following limit. lim /x + 13 x-6 Select the correct choice below and, if necessary,…

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Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

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

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Q: 2 en Does the series converge or diverge? 1+ e 2n n=1 Choose the correct answer below. O A. The…

A: ∑n=1∞ 2en1+e2n=2e1+e2, 2e21+e4, 2e31+e6This is not a geometric series; as there is nocommon ratio…

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A: To find the solution of given differential equation.

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Q: Determine the following limit. lim (3x - 6x° + 1) Select the correct choice below and, if necessary,…

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Q: 17) Find the area of te senface genereted by revolving the curve X=3¢, y= 2f about fue x-qxis on tue…

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Q: A company determines that its demand function is given by p(g) = - 0.4q + 2211 and that its cost…

A: Given

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Q: Find the standard form of the equation of the ellipse with the given characteristics.

A: