What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by inspection after the substitution. O . If there are more possibilities, select one of them. O W = x W = W = x² ex³ [2²e²² w = x³ dx

Q: Find the general Solution For D-E tan² (x+y) dy

A: The given differential equation

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Q: Compute the surface area of the cap of the sphere x2+y2+z2=49 with 6 ≤ z ≤ 7.

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Q: *Find the general solution of:- dy dx =x√2x + 1 1

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Q: 20 C X₁ a * Find the general Solution of :- X = e sinx dy dx =

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Q: dy dx = 2 2 Cosy

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Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

A: x=5t-9y=12t-3

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Q: Solve the following triangles: (a) a = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7; (c) A = 58°, a…

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Q: Evaluate the integral by interpreting it in terms of areas. 4 [3₁ |x| dx

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Q: Write an integral in the form A region. Answers must be exact. As a suggestion, graph the equations…

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Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: tan ¹ (sin x) √√x D) lim-

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Q: Find the sum of the series: n=0 (-1)"36¹-2 n!

A: ∑n=0∞(−1)n36n−2n!

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Q: 2 X Estimate the error if P₂(x) = 1 - is used to estimate the value of cos x at x = 0.2. 2 |Error <…

A: To estimate the error in the given function.

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Q: Does the sequence San} converge or diverge ? Find the limit if the sequence is convergent. (n+4…

A: The given sequence  nth term is

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Q: Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example Find…

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Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

Q: f(x) 3, 4x + A, Bx - 6, 10x + C, Dx + 6, 2, x 2

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 0.5 I = 600 x…

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A: Length of box=x feetWidth of the box=x feetHeight of the box=y feet The figure

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21,-9)…

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Q: A cardboard box with an open top must have a volume of 14 ft. If the length of the base is four…

A: The volume of the cardboard box letlength widthheightthe volume of the cardboard box

Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

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Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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Q: integral, state the number the integration for tegral. (Do not evaluate the integral.) 1 x²(9x - 8)…

A: Given: To find: evaluate the integral.

Q: f, o x sin(x − y) dxdy = Jo J, x? sin(x − y)dydx

A: ∫−12∫06x2sin⁡(x−y)dxdy=∫06∫−12x2sin⁡(x−y)dydx

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