Question 23 en [ "_f(x)dx=0 and ["f(x)dx = 1, evaluate Given A 0 B (u) D 11 76 55 =¹3f(x) dx - ₁2f(x) dx,

Q: Please show work! The area of a rectangle is fixed at 60 square meters. The base is increasing at a…

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: limit of integration

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

A: We need to choose correct option.

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 7x and dx…

A:

Q: To produce x units of a religious medal costs C(x) = 13x + 102. The revenue is R(x) = 30x. Both cost…

A:

Q: Given 1 [₁f(x) dx = 0 and -1 1 S²F(x f(x) dx = 11 6 I evaluate 1 √²3f 3f(x) dx - .0 -1 2f(x) dx.

A: Explained 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: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the…

A: answer is in next step

Q: E Homework: More Practice (May 20, 2022) olve the following autonomous differential equation with…

A:

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship…

A:

Q: -1.30 Find the value of the integral 100 √x dx by using simpson method (n = 6)?

A:

Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

A:

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

A: answer is in next step

Q: (x²-3x+1) dx

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

Q: Evaluate the integral: A B C D 16 1 "Im =|m 1 7/6 دان داww 3 sin(3x)cos(3x) dx

A: We have to find out integral

Q: Given F(x) below, find F'(x). -1.0 - F(x)= -dt 1+8

A: answer is in next step.

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: 1 √3 5) 2 2 / 9) (-1,0) 7) 3√3 3 2 2/3 " 2 ।

A: Topic = Geometry

Q: In 1991, there were 41,144 shopping centers in a certain country. In 2001, there were 48,157. (a)…

A:

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

A:

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

A: To find the work done.

Q: Find the area enclosed by r = 2 sin 30.

A:

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

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: Given problem:- If a horizontal element is used to find the area bounded by y=√x, x=4 and the…

Q: 3. Evaluate the integral: (1) (u-2)(+3) du @[²7/1 dx (3) rπ/3 cscxcotxdx

A: topic- definite integral

Q: Q1/ From the following table of values, find the approximate value of f'(1.5)

A:

Q: 9n + 5 5 | 4m3 + 2n? + 5

A:

Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

A:

Q: [²³ 0 ✓1+13xdx

A:

Q: 10. y (e-3x+4 +2)/(e2+3x +1)

A: The given function is ; y=(e-3x+4+2)/(e2+3x+1).

Q: let W = (x₁ +₁2) be jointly discrete. valid joint pdf a random vector. Contract of W (with atleast…

A: answer is in next step

Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

A:

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

A:

Q: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

A: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

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: A lighthouse is on an island 350 meters east of the shore of Lake Nathan. The lighthouse beam makes…

A:

Q: If f(x) = A B (C) tanx S 0 sec ³x 1+e tanx 1+tan²x 1+ e tanx 1+12 sec²x 1+e tanx In (coor) 1+ e'…

A:

Q: Verify that 2²4 ахду 22+ ду ах - for f(x, y) = 2x³y6 - 4x5y4.

A:

Q: 12

A:

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

A:

Q: When applying integration by parts to the integral I = [In(h (x))da, with h a differentiable…

A:

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

A:

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 C…

A: To find the area bounded by curves

Q: Where is f(a) not continuous?

A: Given:

Q: 4. f(x) = √3x5 - 2x + 7x²= 18x-25

A:

Q: lim 81x √16x2 4x

A: lim   16x2/4x x -->∞   lim   4x/4x x -->∞ = 1

Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

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.