Use the best method available to find the volume. The region bounded by y=16-x, y = 16 and y=x revolved about the y-axis. V =

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Q: Find the exact length of the polar curve described by r = 4e 9 on the interval 1 T≤0 ≤9.

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Q: Let f(x)= 2-4 H-2 C 4x x 2 a) Does lim-2 f(x) exist? If yes, what is it? If not, explain. 321 b) Is…

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Q: f(x)= f"(x) = x³ x²-4 8x(x² +12) (x²-4)³ with f'(x) = x²(x² - 12) (x² - 4)² and (a) Find the…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: 25. Birth and death rates If the birth rate of a population 0.024t is b(t) = 2200eº people per year…

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Q: (2-2) A o (Type an equation. Simplify your answer.) Type the locations of the foci. □ (Type ordered…

A: Topic:- equations of ellipse and geometry

Q: Click the best answer 15 10 5 0 -5 -10- -15 -20 -25 AA 0 D * 6 y=(x-2)4-9x 8

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Q: Compute the area of S. f(x) dx for f(x) = 4x if x < 1, and f(x) = 1 ifx≥ 1. Area =

A: To find the integral, split the limit of integral in two parts

Q: 92 suppose that Σ i=1 92 aj = -10 and Σ b; = 20. Compute the sum. i=1 92 Σ (29a; – 216;) - i=1

A: We can specify the answer by computing the sum in the below steps.

Q: Find the area of the shaded region. Enter your answer as a reduced fraction.

A: Given two equations f( y ) = 1 - y2q( y ) = y2 - yshaded area varies from y = -1 to y = 1

Q: Click the best answer Y = (x - 1)¹ + x

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Q: Find the derivative of y with respect to x if y = In (7x) S 0 sin (4e¹) dt.

A: ∫sinxdx=-cosx+cwe know  elnx=x and  lnxn=nlnx

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Q: W 3/4 i es 1 Find the area of the shaded region. Enter your answer as a reduced fraction. 0.5 0 05…

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Q: The half life of a substance is 49 years. If there are 220 mg present now, how much will remain in…

A: The half life of a substance is 49 years. If there are 220 mg present now, then to determine the…

Q: If T(t) represents the temperature of a cup of coffee (in degrees Celsius) at t minutes after 8…

A: Solution: Given data, T(t) = temperature of Cup of coffee in degrees Celsius.

Q: Σ(3) n = The series Σ is O None of the others. O Convergent and its sum equals 1. 1 O Convergent and…

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Q: - Drug pharmacokinetics A patient takes 150 mg of a drug at the same time every day. Just before…

A: we need to find the quantity of drug.

Q: If the graph of the equation y = cos(x) is to be modified to triple the amplitude and to double t…

A: Given query is to find the equation of the new graph.

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Q: Find the average value of the function on the given interval. f(x)=√x + 2; from [2, 23]

A: The objective of the question is evaluate the average of the given function in the given interval.

Q: Let be an angle in standard position. If P(-1, 2) is a point on the terminal side of 0, what is the…

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Q: Use the best method available to find the volume. The region bounded by y=16-x, y = 16 and y=x…

A:

Q: What is the maximum value of f(t) = sint + cost in the interval 0 ≤ t </ √2 2√2 01 2

A: The given function is; f(t)=sint+cost

Q: Obtain the particular solution. (EXACT EQUATIONS) 3. 3y(x²-1)dx + (x³ + 8y − 3x)dy = 0, when x = 0…

A: Solution: Given Differential equation,

Q: One version of the Folium of Descartes is given by x³ + y² = 1.4xy for what value(s) of x is the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Consider the function f(x) 9x³ 2x² + 10x - 3. 3 An antiderivative of ƒ(x) is F(x) = Axª + Bx³ + Cx²…

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Q: Find the absolute maximum and minimum values of each function over the indicated​ interval, and…

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Q: Suppose that 0=arcsin(2/6) in the first quadrant. What is sin(0/2)? (round to 4 decimals) Your…

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Q: Evaluate the following indefinite integral. Show your solution on the space provided. correct…

A: To evaluate the following indefinite integral.i ∫1x6+8x-4-3x2+6 dxii ∫x4+5x+2 dx

Q: Find the maximum and minimum value of f(x, y) = x - 3y on the closed disc of radius 5.

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Q: Determine the Wronskian of the following functions: f₁(x) = 1, f₂(x) = sinx, f(x) = cosx 0 1 O -1 O…

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Q: Consider the matrices A = Calculate 2B - A. O O O a.) -1 -5 12 7 -3 10 1 14 b.) 8 6 - 16 - 16 6-10 4…

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Q: I 7. Find the area of the region bounded by the graph of y=x²+1, the x-axis, and the vertical lines…

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Q: Describe the sequence of transformations that are required to graph g(x) = -2(x-5)7+12 based on…

A: We have to find the sequence of transformations required.

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: What do you think is lim→∞ (x³ - x)? 01 0.2 O Definitely, none of the choices is correct. 8880

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Q: Consider the vector field ♬ = (6xy, 3x² + 6y²). The vector field is not conservative The vector…

A: use partial derivative for finding the line integral

Q: Find in sin (1 + 2x) + xy = ecosy dy d.x

A: Find derivative

Q: True or false. The integral True -1 False 3 2 1 -1 f(x)dz gives the area of the shaded portion…

A: Here we have to verify whether the given integral for finding the area is true or false.

Q: Minimize Q=6x2+2y2​, where x+y=8.

A: We can solve the given problem by using the second derivative test.

Q: The slope of the tangent line to the curve y = 3 at the point (5,²) I 3 is: The equation of this…

A: Given query is to find slope and equation of the tangent line.

Q: Let f(x) be defined as = { f(x) = { 3x² - 2x, -4+*, x≥1 x < 1. a) Is f(x) continuous at x = 1?…

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Q: Solve using Lagrange multipliers. (The stated extreme values do exist.) A one-story storage building…

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Q: A particular solution of x²y" - x(x + 2)y' + (x + 2)y=2x³, x>0, V₁(x)=x, V₂(x)= xex 2x²+x a. b.…

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Q: Use the graph to determine the open intervals over which  is increasing, decreasing, or constant,…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Write the solution of the linear system corresponding to the reduced augmented matrix. 10 -3 2 01 1…

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Q: Find the Laplace transform of the following functions. 9. f(t) = e²t√1 + sin2t

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