Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x3 √√₁²--/( dx = 16x² de

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Q: 'ind the general term of the sequence, starting with n = Determine whether the sequence converges,…

A: Topic:- sequence and series

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A: Domain:- The set of all those x such that function f(x) exists.Range:- The values of the f(x) assume…

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A: Note: From seeing the previous explanation we observe that there is a typing error in the second…

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Q: Find each of the following functions and their domains. f(x) = x / 8+x g(x) = sin(4x) g ∘ g =

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Q: PERPARA EPIFFERITEURE HIFCERERE dx SURASEULEET EXPLOREZPIER MERASAKASH FLERENCE r 7)Evaluate ↑n(x²)…

A: I have stated the used formulas in the solution.

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Q: 2. Please, write an equation to represent the sinusoidal function in the following grap use radians…

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Q: 26. lim h→0 27. lim t-0 29. 28. lim t-0 Answer √1+t-√1-t t ·2+h)² +2-¹ h (17-0²-²1) t + t 4-√√ lim…

A: Fiest simplify then apply limit

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Q: -1 y 6 5 4 3 2 1 -1 -2 -3 (2,5) b 1 2 (2,-2) 3 4 5 5 a 6 6 7 8 9 (8,-2) x

A: As we know that; The  expression for the distance between two points Px1,y1 & Qx2,y2 is:…

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Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

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Q: 29. Use the squeeze theorem to show TL lim √x³ + x² sin == 0 X

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Q: Convert -0.8 radians to degrees: (Round your answer to the thousandths place.) I

A: Topic- Conversion of radians to degrees

Q: Compute the partial sums S3, S4, and S5 for the series and then find its sum. 1 1 Σ(n+₁-n+2) +1 n=1…

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Q: • [F(x) dx (a) Given f(x) dx = 7 and (b) (c) (d) [²² [[9 L²90 [f(x) + g(x)] dx [²² [g(x) = f(x)] dx…

A: ∫29f(x)dx=7∫29g(x)dx=-3rule:∫abcf(x)dx=c∫abf(x)dx  , where c…

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Q: Use partial fraction decomposition to evaluate the integral: 6r - 3 1² - dr = 2-r-20 Be sure your…

A: Topic = Integration

Q: (c) 2e²x + 3xe* = 0,

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Q: Prove whether u(x, y) = x² – 2xy + y² is a harmonic function on a set D= {(x,y) | x < y}. I

A: Here, the given function is ux,y=x2-2xy+y2 on a set D=x,y|x&lt;y. The function is a harmonic…

Q: Let f(b) 24 4 b-3 6²9 Evaluate the limit: lim f(b) b-3 21|00 3 ९ 8

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Q: (d) (g ∘ f)(6) =  (e) (g ∘ g)(-2) =  (f) (f ∘ f)(4) =

A: Let's find value of given function.

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Q: Assume that the situation can be expressed as a linear cost function. Find the cost function in this…

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Q: (9) The velocity of an object moving along a straight line is v(t) = t² – 10t + 16. Find the over…

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A: To find out the equation of line that passes through the given point and parllel and perpendicular…

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Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax→0

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Given f(n) sketch a) f'(n) -1 b) F"(x) f(x)

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Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

A: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

Q: Suppose z = x2 + y5. Then dz/dt = dy dx 2 +5- dr dr 10 dy (3) dx dx 2²+5 2r dt dx 21 +1 dt dt € 1 dt

A: Given query is to find the derivative.

Q: Q22) A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x…

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Q: Determine whether the following vectors are: -1/√√3 1 1/√3 0 1/√√3 2/3 - 1/3 0 - 1/3 Orthogonal but…

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Q: Let v = PQ, where P = (3,5) and Q = (9, 10). What is the head of the vector v' equivalent to v based…

A: Given vector is v=PQ→, where P=(3,5) and Q=(9,10).

Q: Complete the table. f(x) =    36 − x2,   x < 6 x − 6,   x ≥ 6   x 4 5 6 7 8 f(x)

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Q: The graph of the function y = 5x - x2 is given.

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Q: A graphing calculator is recommended. For the function, consider the following. nd g(--/-) g(x) =…

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Q: Find a³f əyəx² a³f dy əx² O a³f əy əx² O a³f dy əx² O a³f əyəx² for f(x, y) = exy =2rety + exy +…

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