Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y = x², y = 8 x² and to the right of a 1 about the y-axis. V =

Q: Eliminate the constant: 3r y=c₁₂e²²+c₁₂e² Oy"+y'-6y=0 Oy"+ 5y¹+6y=0 Oy"-5y¹+6y=0 Oy"-y'-6y=0

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Q: Find the solution of each of the following initial value problems. -y=2te²t, (b) y' + 2y = te-2t,…

A: Note:-  As per your request i m solving part (a) from the given sub parts..

Q: Solve the following differential equation. 2. 2xy dx +(1+x²)dy=0

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Q: Using differentials, approximate the change, in terms of pi, in the total surface area of a closed…

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Q: Euclidean Algorithm: Express 13 as a linear combination of 39 and 26. Find x and y such that…

A: See this solution in below.

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: Find the antiderivative of r' (t) = -i— 6tj that satisfies the initial condition r (1) = 7i – 2j.…

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Q: 15 = 1₁ x² arccotx dx

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Q: Consider the following sequence: (an) = = {n-n²} Use an+1-a, to show that the given sequence (a) is…

A: Given :

Q: I11 = +∞ -X e-* sin(2x) dx

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Q: Eliminate

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Q: aken in years. Determine the time T taken, to the nearest year, fo riple. OT 21 years T≈ 15 years

A: Topic:- application of calculus

Q: Let f(x) = 3x² -6x+7. You must show all your algebra. is worth zero points. a) Find the axis of…

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Q: Which of the following is the differential equation of the family of parabolas with vertex on the…

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Q: 7. If lim f(x) = lim g(x) = 0, does lim exist always, sometimes, or never? Is x = a a VA of h(x) =…

A: How to find the limit exist or not.

Q: 22. Approximate the curve cos (3x) + 2 with a Maclaurin polynomial. A. 2-(3x)² +2+ (3x)² +2 + 4…

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Q: 4. Evaluate the following and give the exact value: π/2 cosy -y π/6 0 'y sin(y+z) dz dx dy

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Q: Test the function defined by f(x, y) = exp homogeneous, give its degree. x-y for its homogeneity. If…

A: Concept: Homogeneous Functions: The value of a homogeneous function scales multiplicatively by a…

Q: (3x²y − 1)dx + (x³ + 6y − y²)dy = 0 subject to y(0) = 3

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Q: 3. W ²2/2 √√32 W²22√ √50 - 3

A: Find the value of w^(3/2)sqrt(32) - w^(3/2)sqrt(50)

Q: The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for…

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Q: Consider the triangular region R with vertices (0, 0), (1, 3), and (0, 3). A solid is erected above…

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Q: 9. X x5 E

A: Answer (9) We have to solve  x2 x5 x3

Q: Let P be a point on the parabola y = 4x2, and let Q be the point where the perpendicular bisector of…

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Q: 1) In the 2000 U.S.​ Census, a small city had a population of 60,000.  By the​ 2010, the population…

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Q: 3x - 5 Consider the function f(x) = x2 + 3x - 10 Determine the number of discontinuities of f(x).…

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Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

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Q: Find the Maclaurin Series for (1+x)/(1-x)

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Q: HOMOGENEOUS

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Q: 2. Evaluate the following and give the exact value: Show your complete solution. cos y [*1/2 [ ***…

A: The given integral is Sin(y+z), z from y to pi -y, x from 0 to cosy, y from pi/6 to pi/2. Repost the…

Q: · Sainº z diz. 1.

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 3x2 + 5 f(x+2)= ?…

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Q: y = e(c₁ cos 2x + c₂ sin 2x)

A: y = e-x(c1 cos 2x + c2 sin 2x) So, y' = - e-x(c1 cos 2x + c2 sin 2x) + 2e-x(- c1 sin 2x + c2 cos 2x)…

Q: Determine the domain and range of f(x) given the graph: 1 f9(x)= 2 x+1

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Q: Problem 1: Using differentials, approximate the change in length of the space diagonal of a…

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Q: y' + y² sint = 0

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: Find the domain of the function. (Enter your answer using interval notation.) f(x)= x+1 over x2 − 4

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Q: Find the solution of the given differential equations. 2xy x²-y² 1. y' =

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Q: Find the arc length parameter along the curve from the point where t = 0 by |v(T)|dt. Then find the…

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Q: ц. 14 G - Сб 24

A: Here given 14*√6 - 6*√24

Q: Question 6 Determine the value of k such that y=4x²-3e2r is a solution to x(1−x) y''+ (2x²− 1) y' +…

A: The given equation is; y=4x2-3e2x.

Q: Consider the following system of linear equations given in a matrix form: 1 2 0 0 0 0 1 0 0 0 1 0…

A: The given system in matrix form is: 1200|30010|10001|1

Q: Determine the solution for the following differential equation. Check first if the equation is an…

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Q: 3. f (x)=√x³ + 6x²

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Q: 37. At a certain construction site, the rate at which dirt is being extracted from a hole (in tons…

A: Given that the extracted dirt by excavator defined by D(t)=sin(t)cos(t)+32t also the removed dirt by…

Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

A: The graph of the line L is To evaluate: The equation of line L which is perpendicular to the line y…

Q: 3. Which vector is not equal to zero? a) ix (j×k) b) (ix j) × k c) (i × i) × j d) ix (ix j)

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Q: X = T X= O continuous from the right O continuous from the left O neither (smallest value) O…

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Q: 113 = 4 2x+1+√x (x+1)(1+√x) dx

A: Use substitution method