4 Evaluate the double integral: 2ydydx 1 A B (ⒸⒸC) D m 100 8 +10 9 2 5 2

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: Given, ∫ 9/√(x2+6x-7) dx We can calculate using substitute method

Q: Evaluate the definite integral by substitution: 21 1 dx 3/(1+3r)² (1) ² 3/1 + 13xdx 10 (3) [TV. (3)…

A:

Q: 0 ✓1+13xdx

A: Given that ∫021+13x3dxSolution:let 1+13x=t313dx=3t2dtdx=3t213dtat x=0,t=1at…

Q: f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: We have to find out the solution

Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. A (e²-1)² e² sq. units B (e³-1)² e3 sq.…

A: The region bounded by the curves f(x)=ex, g(x)=e-x and x=3

Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: 3 Evaluate the triple integral: (x+y+z)dydxdz A) 12 B) 24 с 6 (D) 18

A:

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

A:

Q: 10. Given the curve C defined by the vector-valued function r(t) = a) find an equation of the line…

A:

Q: 15. Iv X V9 – x2 - dx

A: We want to integrate the given function.

Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ (A) 1 (B) none may vary…

A:

Q: y=1/x²₁ y = 8x₁ y=x/8

A:

Q: Solve for x using Newton-Raphson Method: e-x-x =0 Use xo=0 as an initial guess.

A: We have to find the next approximate newton rapson formulae.

Q: B $S₁ (x+2)(x-1)² = √[=42+²1+ (-₁2). (x 1)² ]dx, 1 x-1 A B C If -io 9 -ja -ia 2/3 1 2|3 2/3 2 the…

A:

Q: */3 Jπ/4 cscxcotxdx

A:

Q: Question 8 - Find the radius of convergence and interval of convergence of the series Σ (-3)”.x” √n…

A:

Q: 2x* dx

A: Here is the solution

Q: Determine the integral: x²cosxdx (A) x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx+2sinx + C…

A: topic- indefinite integral

Q: d S[e-In(2t+1)]dr. find g(x) - dx A e-In(2x+1) 2 B (2x + 1)² (2x + 1)² (2x+1)² If g(x) = D

A: We have to find out the derivative

Q: Find the area of the region bounded by x²y = 1, y = x and y = 4.

A: To find the area of the region bounded by x2y=1, y=x and x=4.

Q: 1-x √x dx

A: We have to solve the integral

Q: 3 √√²h(x) dx = -5 3 3 which of the following can be determined given f(x) dx = 5, g(x) dx = 7, and 3…

A:

Q: 3x² dx

A:

Q: Solve the int B ²+3x-4)³ (4x+3)dx integral: Seln (2x² + 3 eln(2x²+3x-4)³ + C (2x²+3x-4) (-4)³² (4x +…

A:

Q: Using disk method, find the volume of the solid generated by revolving the R bounded by y = 3(2 − x)…

A:

Q: CALCULUS 2 1200-1330 TTh CALCULUS 2-FINAL TERM Exam 90 minutes remaining Oi Test Content Question 1…

A: Solve it

Q: Evaluate the double integral: A 40 B 80 C 60 30 ²(3x² +9y²) dxdy

A:

Q: 25 5+7x x dx

A:

Q: Question 9 d If g(x) = ·S*^[e'− In(2t+1)]dt, find g''(x) . dx -2 4 A (2x + 1)2 4 B (2x + 1)²…

A: Using leibnitz rule.

Q: The integral of x^7(2x^6 - x^8) dx with limits -5 to 5

A: Evaluating the definite integral

Q: Micky needs to earn at least a 2.5 in the class to keep a scholarship. What is the lowest percentage…

A:

Q: y = 3t 1+t³ X= 3t 31² 1+t²³

A:

Q: Evaluate the integral: e3+ cosh2x33 + cosh2xsinh2x dx

A:

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: We need to choose correct option.

Q: How many antiderivatives does a function of the form f(x)=x" have when n*O₂ A infinitely many B may…

A:

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: Find the area enclosed by r² = 4 sin 20.

A:

Q: x²+4x x-4 x²+3x-12 Evaluate the limit: lim

A:

Q: In 1950, there were 238,681 immigrants admitted to a country. In 2001, the number was 1,042,425. a.…

A:

Q: x+2 Determine the case of the following proper rational function after simplification: (x²-4)(x³-8)…

A: The first problem is related to simplification and second one is related to linear composition.

Q: Fin the AREA enclosed by the given curve: r=acos(3θ)

A:

Q: Evaluate the double integral: 5 A 3 B C) D m|w 8 +10 √² √V ₂. Sª S 2ydydx 1 2

A: To evaluate: ∫14∫1x2y dy dx

Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A unitz Ⓡunit² unit2 1 D 4 -unit²

A: We will integrate the f(x) between limits 0 to 1.

Q: J (u-2) (u+3) du

A:

Q: 4. f(x) √√3x52x + 7x² 18x-25 5. f(x) = (33x5-22)( 5x+13x4- 32x+51)

A:

Q: Solve sin² C cos²x = 1 on the interval 0 < x < 2T. -

A:

Q: y = x3 – x’cosx + 2xsinx +2cosxx

A:

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

A: Let's find volume of solid.

Q: Solve the integral: A B D 3√√√x² +C 6√x +C + C 6 √x 3 3√x dx

A: We have to solve integral