Q31 Find the value of Q, where Q = M/N. " 6 3 1 M= 7 -2 4:07 1. Add file 1-3 4 1 91 3 7 TO N=1 3 L2 5

Q: 15. Yogurt containers can be shaped like frustums. Rotate the line y = x around the y- axis to find…

A: 15.   yougurt containers can be shaped like frustrums.Rotate the line y=1mx around the y-axis…

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

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Q: 16. True or False: (a). Every element in a cyclic group (G) is a generator of G. (b). A group (G, *)…

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Q: Find the solution of the given initial value problem. π ty' + 2y = sint, y "(-) = 5, t > 0 Y ||

A: Concept: linear differential equation of the form dydx+Py=Q The general solution of the linear…

Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: In the year 2000, the population of a small city was 40,000. The population grows at a rate of r(t)…

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Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: 1-5th gaase rsino drdo

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Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: 11. Use L'Hopital's rule to find the following limits. x² + 3x-4 x-1 (a) lim x-1 In x xx-1 (b) lim

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Q: Find r(t) if r'(t) = 4t³ i + 5t+j + √tk and r(1) = i + j. r(t)

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 5x)y², y(0) = 8…

A: Topic = Differential equation

Q: State the order of the given ordinary differential equation. (1 x)y" 9xy' + 2y = cos x Determine…

A: state the order of the given differential eqation . and detemine whether the equation is linear

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Use Lagrange multipliers z = f(x, y) = x² − xy + y² to find the absolute maximum and minimum values…

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Q: Q1. Calculate the area of the region lies inside the diagram (r= 4 cos 20) and outside the circle (r…

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Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

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Q: We wish to find the solution to =26y that passes through the point (x, y) = (1, 3).

A: Explained below

Q: Task 5. What is the domain of the function a) (0, 1) b) (-∞, 1) c) (-∞, 0) U (0, ∞) esin (1/2) y =…

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Q: x" -2x +x= 15; x (0) = 7, x (0) = -16

A: We have solve the given differentiable equation…

Q: Solve the following initial value problem using Laplace transforms. y"-9y=3e¹; y(0) = 0, y'(0)=1

A: Explanation of the answer is as follows

Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −5, and g'(5) = 8.Find the following values.

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Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Sketch each of the following: . the solid E • the projection of E onto the xy-plane the projection…

A: answer is in next step.

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: 4) If y = 2√x - 2 tan-¹ √x, then y 1 -1 1+x²*

A: We have to find y' for the given function.

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

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Q: ] Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1.

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Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √1-x² dy = 0, y(0) = . √3 2…

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Q: Give the general equation of the plane containing the point (3,-1,4) and perpendicular to the line =…

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Q: MTI THE - T C₂ b

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Q: x -2x +x= 15; x (0) = 7, x (0) = -16

A: This question is based on diffrential equation solved using Laplace transform.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: 5|2 X 1 If f(x) = X A. f(x) is continuous at x = 2 B. f(x) is discontinuous at x = 2 C. lim f(x) = 1…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Find dy/dx by implicit differentiation. /xy = x³y + 73 dy/dx =

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Q: To say that x + 5| ≤ 3 is the same as saying is in the closed interval [A, B] where A is: and where…

A: The objective is to find A and B.

Q: 1. J tanßsec2ßdß 2. (tan0 – 1)2d0

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Q: Find the arc length of the curve y = 2/3 (x − 1) raise to 3/2 on the interval [2,3]

A: We have to find the arc length of the given interval [2,3] .

Q: 10 10y-y² IN - 10y-y² ex² + y² dxdy

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Q: 27. The factor = T/2 is multiplied in the evaluation of Wallis formula, where m and n rs of sin and…

A: The factor θ=π2 is multiplied in the evaluation of Wallis formula where m and n are power of sin and…

Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: Consider the following autonomous first-order differential equation. d = y In(y + 2) Find the…

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Q: _z = g(x,y)=√x² +2y²

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Q: 1. If f(x) = sinx, show that f(x + y)-f(x) = cos x siny - 2 sin x sin² 2 2Y-T

A: 1) Given f(x)=sin(x)

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given that a  differential equations and we classify each differential equations is separable, exact…

Q: 3. Compute the net area of the following function on the given interval. f(x)=x²-4; [-2,2] -14 <-2…

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