2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

Q: t = b? Choose 1 answer: b Ⓒ / ° v A a © B Ⓒ a b cb a a b e20t+t6 dt e10t+t³ dt 10e10t+ 3t² dt…

A: Topic = Integration

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A:

Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

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Q: Find the area of the region bounded by the curves y= (x+8)2 y = 4 and the x-axis using vertical…

A:

Q: Find the area of the region bounded by the curves 1 y = (x+8)2 y = 4 and the x-axis using vertical…

A: Explanation of the answer is as follows

Q: Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: The given integral is  ∫-13 ∫-24 ∫10 4x2y-z3dz dy dx

Q: (5) If f(x) =.... then f(x) is reducible in Z5[x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x² + 2

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Q: Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

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Q: 3 Evaluate the integral: Soft²eu du dt

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

A: We have to find out determinant

Q: The diagram shows the graph of y=x.x20 for n>1. R B If the red area is three times larger than the…

A:

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: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

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

A: Given

Q: Q1. The parametric equations of the lines L1, and L2 are given as: L: x=-2+1, y=3+2t, z=-t+4 L₂:…

A: Let's find distance between two lines.

Q: CSC X csc x - sin x - dx

A:

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: Find the volume of the solid generated by revolving 1 the region bounded by y = e¯x², the x-axis and…

A:

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

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Q: Differentiate the function. P(w) = 2w² - 6w + 4 W

A: Given function is differentiated.

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

A:

Q: 2 ³₁²₁²[z³(x + y)³] dz dy dx -4 J

A: In this question we have to solve the given triple integral.

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: This is a problem related to function and number system of the function. Based on the general…

Q: 6. The value of A. sin ¹¹x + √1 + x² + C B. sin-¹ x - √1 + x² +C C. sin-¹ x + √√1- x² +C D. sin…

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Q: 7. A nutrition company produces and sells natural powdered supplements. The price-demand and cost…

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Q: Suppose ƒ(x) = 2¹². What is the lim ƒ(x)? 700 O A. It is a vertical asymptote of f. OB. It is a…

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Q: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed…

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Q: Evaluate: SS₂₁ (4x²y — z³) dz dy dx

A:

Q: s s² s² sln teu du ds dt

A: We have to solve multiple integration.

Q: Evaluate the integral: ft² ns te" du ds dt

A: Let's evaluate given integral.

Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

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

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: 1) Associative property of addition (8+2)+4=8+(2+4) 2) commutative property of addition…

Q: Evaluate the integral: -2e 2е π/3 ₁² /³ tlnu tans ds du dt 0

A: In this triple integral we first integrate with respect to 's' then with respect to 'u' and in last…

Q: Q5 A) Calculate the gradient of f(x, y) = √√x² + y²

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Differentiate the function. f(x) = x²(x + 8) f'(x) = x³ (x + 8) 3 X

A: In this question, we need to find the derivative of the given function.

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

A: Given data

Q: ./ which expression best to describe 31% ? (a) Just under a half (b) A tiny fraction (c) Nearly a…

A: Given data÷

Q: Evaluate: 3₂(4x²y - z³) dz dy dx

A: On solving this we will get

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: t√√t + ,2 + t dx

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Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

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Q: 1. 3 If the total cost function is given by TC = 300 +5q+ what is the marginal cost when q = 3? q² 1…

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Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: f(x) = x - 3, g(x) = x² Find (f + g)(x). 2 - (f + g)(x) = x+x-3 Find the domain of (f + g)(x).…

A: It is given that f(x) = x-3 g(x) = x2 We need to find the solution to the given questions.

Q: n+an-1+an-2+...+ hat is the lim ´x→∞ (n − 1)x¹−¹ + (n − 2)xn−2+...+ï' −‚n €Z+?

A:

Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given problem is :

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.