Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 + +1/9) dx x1/⁹)

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

A:

Q: Find f'(x) and f'(c). f'(x) f'(c) || 11 Function x²-9 X-9 Value of c c = 1

A:

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: If cos(x) = (in Quadrant 4), find 19 21 Give exact answers. sin(2x) = cos(2x) = tan(2x) = = Submit…

A:

Q: Social Security According to a certain news poll, 63% agreed that it should be the government's…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given:    Maximize fx,y=8x+8xy+y    Constraint : 8x+y=400 Rewrite the constraint 8x+y-400=0 Form the…

Q: Use the graph of y = f(x) in the figure to fill in the missing values. help (numbers) (a) f(0) = (b)…

A:

Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 6 and 9 using…

A:

Q: IV) Given TV 2) Sketch one cycle of the graph of y = f(x) and label its maximum and minimium points.…

A:

Q: Evaluate the following limit using L'Hospital's rule. lim 0 1 11e 11 3 33x

A:

Q: Euler found the sum of the p-series with p = 4: 3(4) - Σ Σ n = 1 Use Euler's result to find the sum…

A:

Q: Find the curl of the vector field F. F(x, Y, 2) = arcsin yi+ V1 - xzj + yêu y²k

A:

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: n Use the comparison test to determine if the series n=1n²³+²+1 converges or diverges.

A: The given series is ∑n=1∞nn3+n+1 we have to find the series is converges or diverges, by using…

Q: Use the Ratio Test to determine if the series converges. 10k k=1 Select the correct choice below and…

A:

Q: II YOLUMES OF REVOLUTION 1. Find the volume generated by revolving about x-1, the area bounded by y…

A:

Q: Solve: y(1) Given: y'-y=1, y(0)=0

A:

Q: (3x² + 8x + 1) dr if a=-2 and b=5.

A:

Q: = √ √ XY S: z = 9-x-y, first octant Evaluate xy ds.

A:

Q: solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson…

A: Let f(x)=cos(x)-x exp(x). Here f(0)=1>0 and f(1)=-2.178<0 Now, Root lies between 0 and 1.…

Q: Evaluate: L- 2s 1 2-2s = Blank 1

A:

Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: 13. g(x) = x¹nx

A:

Q: -ind the position and velocity of an object moving along a straight line with the given…

A:

Q: 20. J 1 (x+25)√√x dx

A:

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

A: Limit of (1/n) as n tends to infinity is 0. A telescoping series is a series in which all terms…

Q: verges. 8 (-1)"6" n=1 5n lect the correct answer below: a) The series converges absolutely O b) The…

A:

Q: Consider the marginal cost function C'(x) = 400+ 12x -0.01x². a. Find the additional cost incurred…

A: Given  C'x=400+12x-0.01x2

Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Given, f(x)=x3-sin(x)

Q: Evaluate: L{cos8t} = Blank 1 Blank 1 Add your answer

A:

Q: When you evaluate: A B D B C None of the given choices E RIN 2 SST xsin ²(y) dy dx the results is 0…

A: The given double  integral is xSin2y, y from 0 to pi, x from 0 to 2.

Q: Use integration by substitution or integration by parts as appropriate to evaluate S given that A-4…

A: Given: A = 4 and B = 3.      ∫0π24xsin3xdx=4·∫0π2xsin3xdx=413-xcos3x-3·∫…

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: Consider the function with the graph below. -6 (Click on graph to enlarge) What is the Domain? What…

A: To find out the domain and range of the function from the graph.

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

A:

Q: At 6:00 am airplane #1 has an elevation of 25400 ft and is descending at the rate of 250 ft/min. At…

A:

Q: Use the method of reduction of order to find another solution of y"−4y'+4y=0 if y₁=e²x is a solution…

A: The given equation is;  y''-4y'+4y=0 and y1=e2x

Q: Consider the function f(x) = 12x5 + 60x¹ - 240x³+4. f(x) has inflection points at (reading from left…

A: I am attaching image so that you understand each and every step.

Q: Let f be the function defined by f(x) = sin 2x + cos 7x and let g be the function defined by g(u) =…

A:

Q: Find the critical value(s) of f(x) = 7√x – x², to two decimal places as needed. Separate multiple…

A:

Q: A region bounded by fly) = 2y, y = 1, y = 3, and x = 1 is shown below. Find the volume of the solid…

A: The objective of the question is evaluate the volume of the given region.

Q: che Root Test to determine whether the following series converges absolutely or diverges. 3k5 +k…

A:

Q: Use the Comparison Test to determine whether the series converges. Σ k = 1 1 5k5 +6

A:

Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: 5. Evaluate each of the following inte x² (53+1)3 (5 (a) da

A: We have to find the solution As per guidelines we have to solve one question Please repost other…

Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

Q: Determine the instantaneous rate of change at x = 3 for g(x) = x² − 2x+5. A. 2 B. 4 C. 6 D. 8

A: