(b) y"+4y=t² + 3et, y(0) = 0, y'(0) = 2

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Q: 21/solve the following differential equation Using laplace transform y₁ =-y, Y₁(0)=1 y' = Y Y₂(0)=0…

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Q: The final answer is 8/π(sinx) + 8/3π(sin 3x)+ 8/5π(sin5x)....

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Q: Given g = (-5, 10) and u = (5, 2), find -4ğ - 6.

A: If you have any questions let me know in the comment box thankyou.

Q: find the Laplace transform. Then express the given function f in terms of unit step functions

A: GIVEN : ​​ STEP : 1 ​​ STEP : 2 ​​ STEP : 3 ​​ STEP : 4 ​​ STEP : 5 ​​ STEP : 6 ​​   Let's express…

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Q: 6. Sketch the trace of the following curve on R², п 3п (t) = (t2 sin(t), t2 cos(t)), tЄ 22 [3 Marks]…

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A: The derivative of f(t) is f′(t)=2−1​(t3+8t2)8−9​(3t2+16t)Third option is correct.

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A: If you have any problem let me know in the comment section thankyou.

Q: 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) =…

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Q: Use series to evaluate the limit. lim X-0 12 2 - + x − In(1 + x) X

A: If you have any problem let me know in the comment section thankyou.

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

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Q: 2. (15 pts) Write the Maclaurin series for the function f(x) = sinx. Use it to write the Maclaurin…

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Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

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A: If you have any questions let me know in the comment box thankyou.

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Q: 2. Let f(x) = 2x² + 6. Find and completely simplify the rate of change on the interval [3,3+h]. (5…

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Q: Q2/ verify that grad (hgrad f- f grad h) 1 E = 11 h h₂ where and h are scalar factions.

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Q: 6. Find the angle to the nearest degree between the two planes given by x-2y+2=0 and 2x+3y-22-0

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Q: Show all steps. Correct answer is 37.6991118

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Q: 5+ 4 3 2 1. -B -2 -1 1 4 5 -1 -2 -3 -4 -5 Complete an equation for the function graphed above y =

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Q: 60! 5!.7!.15!.33!

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