Find the area of the surface generated by revolving the curve about the given axis. π x = 6 cos (0), y = 6 sin(0), 0 ≤ 0 ≤ -1 2 y-axis

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A: As we know The function f(x) decreasing  whenif

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A: Given Differential Equation Given y is a function of t

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Q: all answers given are wrong , please can you check . thanks .

A: We knoiw that integration by parts, is given by

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A: The given series is

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A: Since you have posted multiple subparts question in this question and as per company guidelines i…

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A: To determine the equation of the line that goes through the point and is perpendicular to the line .

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A: Given:  The graph of the function  is shown below.To Find: To find the following.

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

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Q: (a) Express the area of a circle, A, as a function of its circumference, c. A(c) = (b) Express the…

A: (a) To express the area of a circle, A, as a function of its circumference, c.(b) To express the…

Q: b) Find the derivative of the following: √cos³ (2x+1) (In(sin(2x+1)))² 1. dx

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A: Given graph of the function is  shown as

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A: The  Sum Rule:The Power Rule:

Q: Integrate by parts: ∫ ln(2x+1)dx

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Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: 1. f(x) = 5-x, g(x)= x+3 Find the expressions for each of the following and state the domain: (a)…

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Q: Evaluate the six trigonometric functions of the angle 9. (a) E sin(8) cos(8) || || || = tan (0) =…

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Q: Solve a dy da - = 5y - 1x, (a) identify the integrating r(x) = y(1) = −8. factor, r(x). (b) Find the…

A: To solve

Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: Hi what about the red graph?

A: In this question, we will draw the graph.

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Q: Question 23.2 You have been provided with the following initial value problem y"+ 4y = 12t 9 (0) = 2…

A: We solve the given problem using the Laplace transform method.

Q: Show that f and g are inverse functions analytically and graphically. - 1 f(x) = 5x + 1, g(x) = ) =…

A: f(x) and g(x) are inverse of each otheriff(g(x)) = g(f(x)) = x

Q: Consider the following. x - 5, f(x) = x² + 5, 7-X, for x ≤-1 for-1 1 Find lim f(x). (If the limit…

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Q: Find the general solution of the logistic equat dy dt y = 12 e-3t C Variable 'c' is not defined in…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an -4…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Given ƒ(2) = 3, ƒ(3) = 4, f(2)= -2, ƒ¹(3) = 7 g(2) = 1, g(3) = -1, g(2) = 6, g/(3) = 10 find:…

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Q: Let V=R². For (u1, U2), (v₁, v2) € V and a € R define vector addition by (u₁, u₂) E (v₁, v2) := (u₁…

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Q: Consider the following. lim (3x) x-2 y 2 1 1 2 Use the graph to find the limit (if it exists). (If…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: Use the Theorem on Limits of Rational Functions to find the limit. If necessary, state that the…

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Q: Find fx,fy, and f₂, and evaluate each at the given point. xy x+y+z f(x, y, z) = fx(x, y, z)= fy(x,…

A: Find first three partial differential values

Q: 20. S2² In y dy

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Q: this answer is incorrect , please check

A: The answer given is correct.  Let us solve the final answer further.

Q: Consider the following. f(x) = x+9 x≤ 0, 7x+8 X>0 Approximate lim f(x) numerically and verify your…

A: The given function is,Find the left-hand side limit of the function at x=0

Q: 2 if x > 0 -2 if x < 0 c. Find the domain and Let f(x) = a. f(-13) = a. Find f(-13) and f(11). b.…

A: The function is given as÷

Q: Problems 5-8, Find the average rate of change of the function over the given interval. Write the…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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