the work required to stretch the spring an additional 3 ft. 24 foot-pounds 33 foot-pounds 30 foot-pounds 27 foot-pounds B

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: Given that g be a differentiable function and the range of g be an interval I.  f is a function…

Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

A:

Q: Question 2 Solve the integral: A √√x 3 B 33√/ x² +C 3√x² +C 6 6√√x +C D √√ 3√x dx

A:

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

A:

Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

A:

Q: (x-1)dx x(x²+1)(x² +2) S=

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: To evaluate the integral. Option A is correct.

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: 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 option

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

A:

Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: πT Evaluate the integral: sin(3x)cos(3x) dx រ 1 A 3 (B) i D 1 براس 1

A:

Q: Evaluate the double integral: (3x2² +9y²) dxdy (A) 80 B) 40 Ⓒ30 (D) 60

A: To evaluate the double integral: ∫02∫0y3x2+9y2dx dy

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: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: Solve the integral: Seln(2x² + 3x − 4)³ (4x + 3)dx eln(2x²+3x-4)³ A (2x²+3x-4) (2x²+3x+4)4 + C 4…

A: A detailed solution is given below.

Q: |x-4|dx

A:

Q: 3. Use two rectangles of equal width to estimate the area between the graph of f(x) = x + cos(x) and…

A: Solved below.

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 43x 135 83x 125 83x 135 43x 125 B 0 D…

A:

Q: Evaluate the integral by interpreting it in terms of areas: (2) [+ |x|dx (1) L₂ (3+√4-2²) dx

A:

Q: Evaluate the improper integral A 0 B (C) 2 9 mit 3 4 √1²23 3³/30 D) diverges dx

A:

Q: Question 15 Evaluate the double integral: (A) 40 B) 80 C) 60 (D) 30 ²² 6) (3x² +9y²) dxdy

A: we can find the double integral.

Q: The improper integral (A) e B) 0 с 00 D 1 8 0 edx

A: ∫0∞e-xdxSubstitute u=-x→dudx=-1→du=-dx=∫-e-x

Q: Which of the following is NOT a method for finding volume of solids of revolution? A) washer method…

A: Conic method

Q: A balloon is released fromthe ground 100 meters from an observer.The balloon rises directly upward…

A:

Q: Given the integral csc²u=cot²u+1 1+ cos2u 2 1-cos2u 2 sec²u=1+tan²u B cos²u=- sec (x-1) tan4…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: y = x Arccsc (+)

A: We have to to slove derivative

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

A: If fx and gx are integrable on the closed interval a, b, and k is a constant, then to determine wich…

Q: Given the integral sec (x - 1) tan4 (x-1)dx, which of the following equations will be useful for…

A:

Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Integration

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 (e²-1)²…

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Please see the below picture for detailed solution.

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: - e*) sinh x + e* cosh x + ex In the indefinite Integral in(cosh x + ex). A In(cosh x + e*)- sinh x…

A:

Q: Evaluate the triple integral: (x+y+z)dydxdz A) 18 B) 24

A: ∫03∫02∫01(x+y+z)dydxdz=∫01(x+y+z)dy=xy+y22+zyUpon substituting=x+0.5+z-0=x+0.5+z

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined the a. a shifting theorem can…

A:

Q: y = x^Arctan *(x4)

A: We have to solve derivative

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

A: To find the area bounded by curves

Q: 11 Given ~ [²₁_f(x) dx = 0 and [ ² f(x) dx = 1 1 1 4 11 A 6 B C 0 55 0 evaluate • [²³f(x) dx - ²₁²…

A:

Q: Evaluate the improper integral A 0 (B 4 C diverges 2 D 9 mit 2 3 -2 X 3 dx

A:

Q: If g(x) = d __*[e' - In(2t+1)]dt, find g''(x) . dx -2

A:

Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x +1.

A: Correct option is A

Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

A: Option C is correct option

Q: Evaluate the double integral: A B NIG 5 3 m|p 99 In +10 2ydydx

A: To solve the following double integral

Q: 3. 2y"" − 3y" – 3y² + 2y = (e*+ex)²

A:

Q: 2 Let f(x)=√√3x-2 on the interval 1. Revolve the region between the curve, y=1 and y-axis about the…

A: To solve this problem we use cylindrical shell.. method.

Q: I5 = 2 -3 x 0(x - 1)dx

A:

Q: Question 11 If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant,…

A: Topic:- application of integration