2x Write the integral e eat d x as the limit of Riemann sums using the right endpoint rule. That is, S e2ª dæ = lim (E- lim (E-1 -). - n→x

Q: 5. Evaluate the definite integral (2x-3)dx as limits of Riemann sums (Use equal partitions an and…

A: To Determine :-  The definite integral  ∫13  2x2 - 3  dx  as limits of Reimann sums.

Q: Write the following limit as a definite integral on the interval [5, 11], where c; is any point in…

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Q: Compute lim n · (Vỹ – 1). | n→∞

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Q: Find lim t→ 1 1 - cos2 Int 0(0.20 를 를) 0 O t ./t+7, t-1 t2 − 1

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Q: 3. Let fn(x) = ¹+cos(nx), x € R. Find f(x) so that fn → ƒ pointwise on R, then check whether fn → f…

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Q: f(x) = x² + 1 4 calculate 19 Så lcxjdx 6 3 jeza lim 87x +1) using using deli = lim [ {Rexi)ox] 946…

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Q: 99. Show that 00 cos x dx is absolutely convergent.

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Q: Write the following limit as a definite integral: limn→∞ ½ / Σ²-1 ( ²1 )º n j=1 of th x6 dx f²x5 dx…

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Q: If f is continuous on [0, π], use the substitution u = π-x to show that π [" xf(sin(x)) dx =…

A: To prove

Q: If f is continuous on [0, π], use the substitution u = -x to show that -76 2 ["xf(s xf(sin(x)) dx =…

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Q: el 29-38 Determine the set of points at which the function is continuous. 29. F(x, y) = xy 1 + e*- 1…

A: Solution:

Q: y' + y" = 2x²y 10y' - y = ex 2 tanh(y)y′ +2xy+3=0 y” = tanh(y/x)

A: To define whether each of the following ODEs are 1st-order linear, 1st-order non linear,2nd-order…

Q: Express each limit as a definite integral: n lim n→∞, i=1 πί sin + (4 2n. 2 5k -1+ 5k lim 2 п k=1

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Q: 5. Suppose f is continuous on [2, 8]. Use the table of values of f to f(x) dx using a left, right,…

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