The area enclosed between the two curves x² = 2y and y² = 2x is rotated about the x- axis. Determine the volume of the solid formed.

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A: We have to find out the differential

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Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

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Q: dy Consider the differential equation - 2r da (A) At the point (1, -1), the direction field has a…

A: This question can be solved using the concept of direction field.

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A: Here, to find the series notations of p1(x)+p2(x)

Q: Find the relation between backwards finite difference and average operator.

A: Given

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Q: Direction: Fill in the blanks with the next step in solving the solutions of the differential…

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Q: Reverse the order of the integration dy dx sin x

A: W need to find integral.

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Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: Prove that any group of order 40, 45, 63, 84, 135, 140, 165, 175, 176, 189, 195, 200 is not simple.…

A: According to Bartleby guidelines I can only answer the first three questions of the given problem.…

Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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A: We want to know the area of the given graph is positive or negative on the given intervals.

Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: 1. Evaluate the given integral Q. y/3 9-y² - 1.² [ord ³* 0 0 0 Q Your answer (1-2) dz dx dy

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Q: Find the average value of f(x) = 3 sin (x) + 5 cos (x) over the interval 0, [0]. 3

A: The function f(x)=3 sin(x)+5 cos(x) over the interval 0,π3

Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…

A: (a)The function is decreasing in the intervals: (-∞, 9),(-6, -3),(1, 5),(8,∞). (b) The function has…

Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

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Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

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Q: Consider the differential equation y' = y² where y is considered to be a function of . 1 In this…

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Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

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Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

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Q: 1. Solve the following differential equations d²y_dy dx² dx — - +2y=x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: OA-3 Close Date: Wed, Jun 1, 2022, 11:59 PM Question 3 of 9 Meadow Company wants to invest its net…

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Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

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A: Solution is here

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: Suppose f(x) = n=0 To determine 0.00000675 [ƒ(2) dz f(x) 6.9 - (x - 7)" 7 S f(x) dx to within…

A: Solution

Q: Evaluate the integral 2 ક્ષ ;-) Sa Say e dxdy

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Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

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Q: Use point-slope form to find the equation of a line that contains the points (100, -40) and (20,…

A: Given, (x1,y1)= (100,-40) (x2,y2)= (20,-5)

Q: 8- Find the derivative of (x²+1)x

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Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…

A: Given

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A: Given, S(A)= 0.882(A)0.842 Differentiation w.r.t A we have, S'(A)= 0.882(A)0.842

Q: Obtain a + ib form of the ff: -i77 a. z = −6+9e

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Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: At 12.00 noon, there were 200 bacteria present.By 1:00 pm, there were 379 bacteria.

Q: 4. What is the area of the largest rectangle that can be insribed in the first quadrant under the…

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