Approximate the sum of the series correct to four decimal places. -0.2212 n=1 (-1)" 4"n!

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A: Solution: Given data, h = 15t - 1.86t2   a) velocity = h' (t)   → h' (t) = 15 - 3.72t   t=3 h(3) =…

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Q: Find [[ cos (x² + y²) dA where D = {(x, y) | 9 ≤ x² + y² ≤ 25}

A: We need to evaluate :

Q: 10. Consider the following matrices: A = 13 0 1 3-5 1]. B A² BA CA DA 10-1 215 -3 4], C-[|-||---|| 0…

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Q: /transcript Perform a first derivative test on the function f(x) = x (x-3); [-3,3]. a. Locate the…

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Q: Det

A: Both the series will converges....for detail go through the solution

Q: Simplify the ratio of factorials. (n + 1)! (n − 1)! X

A: We have given to find ratio of factorials Let, y=n+1!n-1! y=n+1nn-1!n-1! y=n+1n y=n2+n

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Q: Throughout this problem, consider R to be the region between the curves f(x) = 2x and g(x) = x³ in…

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Q: Determine whether the Mean Value Theorem can be applied to the function f(x) = the closed interval…

A: given function is :-f(x)=2x3        and interval  0,16then we have to find value of c , when applied…

Q: 2. Let xy - y² = 8. a) Find dy dx b) Find an equation for the tangent line at the point (6,4).

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Q: In the Google sheet, o Create a vector 'r' of values of the radius of a cone with values starting at…

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Q: Express each decimal in expanded form and as a fraction. (a) 6.2 expanded form fraction (b) 0.25…

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A: According to question,Given Point : -5,1,2,Given Line : a⇀t = -5,0,-3t+-7,1,-5

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Q: 10. Find the indefinite integral J dx (3+5)2 dx

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Q: da x²√4x-9 dt Ive²-√t dx X- - √√x

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Q: Problem 3 d²y(t) — 4 dy(t) + 4y(t) = 2 × e²t dt² With initial conditions y(1) = 3, dy (1) dt = 1

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Q: Suppose y = √2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy X…

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