Question 3 Determine L-1 ¹ s²+3s-7 (S-1) (s²+2).

Q: Let f : R 7−→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find f^(−1)(x).

A: Let f:R→R be defined by f(x) = 2 - 5x.

Q: The value of √x dx 1+ A. x-2√x+2 ln (1+√√x) + C B. x-2√x-2 ln (1 + √√x) + C C. x-2√x+2 ln (1+√√x) -…

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Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R

A: ∫-11∫016x3-y32dA

Q: Evaluate: ³₂(4x²y — z³) dz dy dx

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Q: 3 So So t : t² etu du dt

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Q: = 2 · and g(x) = √x² – 2x +1, then_lim [(ƒ(x) · g(x)] is z→1¹ If f(x) =

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Q: Evaluate the integral: -2е π/3 ₁²/³t Inutans ds du dt

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: 2 (x² - y²) ² Evaluate: ³₁² L 21 x+y du dt

A: We have to find value of given double integration.

Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

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Q: Evaluate the integral: 2e π/3 ₁²² ²/³ t Inu tans ds du dt

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: u = (x2y2)/(x+y), show that x(∂u/∂x) + y(∂u/∂y) = 3u

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Q: Evaluate the integral: 2² sin (²) dt du

A: To evaluate the integral: ∫π2π∫0u2sintudt du

Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: I. Simplify. Write "undefined" for expressions that are undefined. -1 5 -3 6 3 3.) 5 0

A: We have to find out product

Q: f(x, y) = = /25 - (x - 2)² - y²

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Q: Evaluate: 2[z³(x+y)³] dz dy dx

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Q: If g is said to be the antiderivative of the function f then O a. Inconclusive O b. O c. O d. g'(x)…

A: Here we have to choose the correct option.

Q: Evaluate the following Integral using integration by parts X CSC X S - dx CSCrCOU

A: Use by parts method of integration

Q: Q8. Solve the following D.E to find y as a function of x : dy dx y sin 2x 3y² cos2x

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

A: Area under curve

Q: Evaluate: ₁³₂₁(4x²y — z³) dz dy dx -2

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

Q: odules CALC 2 INTEGRAL CALCULUS ACTIVITY 1 Evaluate the following. Show your complete solution. 1. f…

A: The integration of the integrals are;  1)z5 2)y1/3 3)6/x4. Repost the next parts.

Q: -3 (x² - y²)²] Evaluate: ₁²² x+y du dt

A: Given

Q: Evaluate the following * [csc² cot (5x+6)/2 + C cot(5x+6)/ 5+ C - cot(5x+6)/ 5+ C cot(5x-6)/ 5+ C…

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Q: Evaluate: (4x²yz - ) dz dy dx

A: Let,    I  =∫23∫-14∫10 (4x2yz - z44) dz dy dx           I = ∫23∫-14[∫10 (4x2yz - z44) dz] dy dxI=…

Q: -2 Evaluate: ²₁5²[(x²-²²] | du dt x+y

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Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 5 3 2 I(1J + -6 -6 2 0 2

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Q: зи Evaluate the integral: So So So u s2 +u2 ds du dt

A: Given: I=∫02∫0t∫03uus2+u2dsdudt   As we know the common integral. ∫11+x2dx=tan-1x+C

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

A: This is a problem related to reducible and irreducible nature of the polynomial while in Z5[x].…

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: Consider a continuous function f(x) = 2e-1-2x, which is true about the relative extrema of f? f has…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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: Evaluate: ƒ³₁ ƒ²₁ √√²[z³(x + y)³] dz dy dx

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Q: 2. Evaluate all of the integrals. 2²-x+4 (x + 1)(x²+2) da

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Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: Evaluate the integral: f/2² sin (-) dt du ,2

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Q: A and b

A: We need to solve maxima/minima problem.

Q: PARKING THIS BLOCK 2AM TO 5AM 2 HOUR PARKING THIS BLOCK 9AM 6PM EXCEPT SUNDAYS 15 MINUTE PARKING…

A: Ques (a) According to the third sign (at the bottom), the parking time is between 8 AM to 5 PM. So…

Q: Use the table of integrals to evaluate the integral. 2 √2²47x²³ √4x²-x+ d² dx

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Q: Which of the following functions will be continuous on (0, 3)? OA. h() = 12 8² + 6| OB. g() = 7/2-16…

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Q: (x + 2)" Q4. Find the convergence interval and radius of the series : Σ (-1)**² n=l n

A: We need to find interval and radius of convergence.

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 12 y² +1

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Q: VSDE of tan xdx + y * cos^2 ((x) * dy) = 0

A: (Sinx/cosx)dx+ycos²xdy=0 (Sinx/cosx)dx=-ycos²xdy (Sinx/cos³x)dx=-ydy tanx sec²xdx+ydy=0 Integrate…

Q: +00 0 x (x²+4)3/2 dx

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Q: (2) Z/(5) =........ (i) (5) (ii) 5Z (iii) {[0],[1],[2],[3],[4]}

A: We have to find out integer

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: Evaluate the limit using L'Hôpital's Rule. 11x³ lim x-0 sin(x) = x (Use symbols and fractions where…

A: Givenlimx→ 011x3sinx-x

Q: Give 1 problem of partial differentiation of function of U with respect to 3 independent variables…

A: