17. If lim- X- 200 – 4n + kn² then k =

Q: Evaluate the given improper integral. Tell if it is convergent or divergent 2 dx x2 + 4 --

A: Solution is given below:

Q: Find the area bounded by the curve y= 4-x2 and thex-axis. Graph

A: We can find the area bounded as below.

Q: sin' xcosx dx

A: Indefinite Integration

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

A:

Q: please kindly provide a clearer picture of the answer and solution, I cannot properly view it. thank…

A: Kindly refresh the page if you do not see the solution properly. I am sharing the image form of the…

Q: E. Find the value of D, E, and F of the following circle that passes through (-1, 4)(3,2) and (5,2)

A:

Q: Consider the function f(x) — 6ӕ* — 9a? + 10х — 9. - An antiderivative of f(x) is F(x) = Ax* + Bx³ +…

A:

Q: Find the parameter k such that the function y cos(kx) satisfies the equation y + 5y" = 0.

A:

Q: Solve the following differential equation y" + 2y'+y = x-1

A:

Q: da

A:

Q: SIXE-A Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X+3" 6. lim…

A:

Q: Find the area bounded by tHe curves y=8x-x and y= 3x

A:

Q: sec®3xtan3x dx

A:

Q: 5. u = 2i, v = -3j

A:

Q: Show that (xcos(2x)dx=. A-2 8

A: LetI=∫0π4xcos2xdxPut 2x=udifferentiate on both side2dx=dudx=du2As x→0 then u→0As x→π4 then…

Q: A producer has determined that the revenue generated from the production and sale of x units of a…

A: what interval(s) of production is the revenue increasing and for what interval(s) is it decreasing?

Q: y-axis Consider the graph shown to the right 4. lim f(x) X-axis 5. Evaluate lim f(x) X-3 6. lim f(x)…

A:

Q: Find an equation of the circle that satisfies the given conditions. Center (-1, 6); passes through…

A:

Q: x + 4 dx (x² + 2)(x² + 1)2

A:

Q: what

A: Please refer to the image below

Q: dy/dx + 2xy + xy = 0 Ans. 1/y3 = -;+ 1 + ce3x? 2

A: The given differential equation is  dy/dx + 2xy +xy4=0

Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: 3. A rectangle is inscribed under the curve of f(x) = e-*², where one side of the rectangle lies on…

A: Follow the procedure given below.

Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A:

Q: 2x)y'+5y=

A:

Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: How do you solve related rate problems in calculus? List all steps.

A: Step to solve rate related problems in calculus

Q: dx sin x

A:

Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the Taylor series generated by f at x = a. f(x) = x2 - 4x + 3, a = -3 (x - 3)2 - 10(x - 3) + 24…

A: Given

Q: Sketch the figure or analysis. Shade the needed region and draw representative vertical or…

A: Follow the procedure given below.

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: 19 at are the equations of the asymptotes for the function y = tan 27x where 0 < x < 2 х %3D 0.25,…

A: Given query is to find the equation of asymptots for the function.

Q: 9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A. For the following power series determine the interval and radius of n+1 convergence.a (x - 2)"…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3. Let the statements A, B be A: (not p) and q, B: (not p) or (not q). If p 0 and q = 1, then !! %3D…

A:

Q: A small home business creates muffins, bones, and cookies for dogs. In addition to other…

A: Here, from the given data, let x be the number if muffins, y be the number if bones and z be the…

Q: f(1) . f'lx) dx

A:

Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

A:

Q: 1. Show that cosh 4x = 8cosh“x - 8cosh? x + 1 .

A: Given problem:- Show that cosh(4x) = 8cosh4x - 8cosh2x + 1

Q: Is the area under the curve y (Inx)/x from X-1 to X=x finite? If so, what is it?

A:

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

A:

Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

A:

Q: 6. 2y²e»² dx + 2xye»*dy = 0

A:

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

A: