the total area of the region described. Do not count area beneath the x-axis as negative. bounded by the curve y = 8√x, the x-axis, and the lines x = 0 and x = 16

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A: The given integral is: I=∫e-4xex-12dx   As we know the common integral. ∫eax+bdx=1aeax+b+C

Q: Solutions only thanks

A: Topic = Volume

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A: for vertical asymptote put  x-3=0

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Q: asap

A: Please refer to the image below

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A: Select the option

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Q: 1. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

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A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: cy that best fits the data points (0,

A: z = a + bx + cy bx + cy + a = z Data points => (0, -3, 0), (4, 0, 0), (3, -1, 1), (1, -2, 1), and…

Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

A: Given,            fx,y=ln2x+3yTo find : Verify that ∂f∂x∂y for the given function.

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A: this is question of combine integration and differentiation first integration given after find…

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Q: Evaluate the double integral I = √ √ (3x + 2) dA when D is the bounded region enclosed by y = x and…

A: To find:- I=∫∫D3x+2dA

Q: A. Show that the following limit does not exist. 3xy+y² i. lim (x,y) →(0,0) x²+xy ii. lim (x,y) →…

A: A detailed solution is given below.

Q: Can you check part b? The answer is incorrect.

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Q: On which open upward? intervals is the function f(x) = — x² - 2: -2x decreasing and concave

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Q: Find all real numbers k, if any, for which 2 -4 and 4 no real solution for k -2 and 2 4 1,² x³ dx =…

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Q: (d) ³x² - 2x|dx

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Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

A: The given derivative expressions, a) limθ→π43cos2θθ-π4 b) limh→01+h3+21+h2-9+6h We have to fins the…

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Q: which the following definite integrals gives the volume of the solid obtained by revolving the…

A: solution is given below

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Q: if xsinx=4.5, find(-x)sin(-x)

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Q: Evaluate [*(z + √1 − 2²)da by interpreting in terms of areas.

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Q: Graph the function over a one-period interval. y = tan Which graph below shows one period of the…

A: The given function is y=tanx4 We have to sketch the graph of the function.

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A: Given, ∑n=1∞5n2+49

Q: 13. 2п 3 14. 3 п 4

A:

Q: Find the points of intersection of the two graphs y = sin (2x) and y = 2 cos²(x) for 0 ≤ x < 2.…

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Q: (part 2 of 4) Determine fxx + fyy when f(x, y) = (x - 5)(y+3)(x+y+1). 1. fxx + fyy = 2(x + y − 2) -…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If y = tanh-¹ (cosz), show that d'y dy (tanz) + dr2 da = 0.

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Q: Suppose a Cobb-Douglas Production function is given by the function: P(L, K) = 23L0.6K0.4…

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Q: Evaluate the integral: 2₂4-2² J O*[] π 2 [1-4] 021-]+0 O O 4T e4 dydx -√4x² ex²+y² +C

A: To evaluate the following integral.∫-22∫-4-x24-x2 dy dxex2+y2

Q: Suppose f'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals . (Enter a number for your answer.)

A:

Q: S sin 3x (csc 3x - cos ³3x) dx

A:

Q: Prove 3sin x-45 in ³x = Sin (3x)

A: To prove that,3 sinx-4 sin3x=sin3x

Q: 43-44 Evaluate the integral and interpret it as the area of a region. Sketch the region. T/2 ³. √5¹²…

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Q: Write an iterated integral of a continuous function f over the region R shown in the figure. Write…

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Q: 41-54 Find the absolute maximum and absolute minimum values of f on the given interval. 41. f(x) =…

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A: To convert degree into raidan

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A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: Suppose 4 0 2 8 * (3f(x))dx = 12 and -2 d[ f(x)dx = 2. Compute 5 5 -2 f(x)dx.

A: NOTE: Refresh your page if you can't see any equations. . here we have and

Q: 7 п 11. 6 12. п

A: