an+1 Suppose that an ∞ Σ απ( – 81)" man n=1 →1 as n→ ∞o. Find the radius of convergence.

Q: Evaluate: ³₂(4x²y — z³) dz dy dx

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Q: 4. Evaluate the double integral that will find the volume of a solid inside the paraboloid z = 1 -…

A: We need to find volume.

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

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Q: II. Find the inverse of each matrix. -9 6 2. 4 -8

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Q: 7. s sec² cot √sec4-2 sec²-3 dø

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Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2), 35544 2

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Q: Evaluate sin (x) e-x dx by use Simpson's rule. h= 0.5

A: This is a problem related to integration part of the mathematics. Based on the general formula and…

Q: Find the solution of the given initial value problem. ty+3y=t²t+5, y(1) = 2, t> 0 11

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Q: 7. The value of sin(1¹/3) dt 12/3 S

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: Above question is solved.

Q: -2 Evaluate: ²₁²[(x²-²²] 0 x+y du dt

A: Topic = Integration

Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Using integrating factor make equation exact

Q: swers: i i Mi 0 0 O

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Q: If the total cost function is given by TC=300+5q+(3)/(q2), what is the marginal cost when q=3?

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Q: 6. I. Evaluate each determinant. тут 3-3 4 1 0-1 -1 -4

A: Given data

Q: Find the solution of the given initial value problem. v- 7 y = y' cost t-7' y (π) = 0, t> 0 y(t) = =

A: The standard form of the first-order differential equation is: dydt+Py=Q Where P and Q is the…

Q: 2 3) 9 = x ² sin x y વચ્ચે ઝ 4) y = sin x 1-2 cos x

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Q: 4 nd the area of the region bounded by 2x = y²+1 nd the y-axis using the horizontal strip.

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Q: Evaluate: £²³₁ £²₁ ¹²[z³(x + y)³] dz dy dx

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Q: dy Write down a differential equation of the form dt 13 solutions all approach y = as t→∞. 14 y' = =…

A: The general form of the differential equation is  dydt=ay+b

Q: | √x dx 1 + √x A. x-2√√x+2ln (1+√x) + C 3. x-2√√x-2 ln (1+√√x) + C C. x-2√√x+2ln (1+√√x) - 3+C D.…

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Q: Evaluate: £²₁² [(x²-²²] du dt 2 y²)²₁ x+y

A: Given, ∫-13∫02(x2-y2)2(x+y)dudt

Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: To convert a point from Spherical coordinates to Cartesian coordinates, use equations  x=ρsin ϕcos…

Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: Q3 A) Write the first five terms of the following: - 2. {1- (-1)") (3n+2 B) Determine which of the…

A: "since you have asked multiple question,we will solve first question for you.If you want any…

Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Evaluate the integral: 2 So sin(4t - u) du dt

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

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Q: y=u² +2u u=v² + 2v v = x² + 2x

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: Find Fourier sine series of f(x) = 4x on - L≤ x ≤ L

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Q: Evaluate: 1+ 2y dy dx •x x2

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Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 2.) 3x + 3z = 0 2x +2y =…

A: On solving this we will get

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

Q: = Find the area of the region bounded by x = and the y-axis using the horizontal strip. 4 2y²+1

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Q: 1. Find the Inverse Laplace Transforms of the following. 4 1) -1 S-3

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Q: let f(x)=x +9x-1 if (f o g)(x)=x+9√x-1. find g(x)

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Q: Evaluate: ²₁²²-²² du (x²-y²)²] S du dt x+y

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Q: xy' + (x +1) y xe sin 2x

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Q: I. 4. Evaluate each determinant. 2 -5 2 -1 4

A: We have to find out determinant

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: Given : Let I be a proper ideal of the commutative ring R with identity. Then I is a _______ if and…

Q: -3 ³₁₂₁(4x²y - z³) dz dy dx

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Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s s6 3

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Q: S77/2 Su² sin (=) dt du Evaluate the integral: f/2.

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Q: 2. I. -4 1 Evaluate each determinant. 3 -3

A: -431-3=12-3

Q: Evaluate the following * 5 Sa 4x - 1 In(4x - 1) 4 O II -dx + C 5ln(4x - 1) 4 + C 5ln(4x − 1) + C 4…

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Q: 5) y = tanx secx 6) Y = b x+1

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