Let D be the region enclosed by y= sin(x),y = cos(r), x 0 and r = = 1. The volume of the solid formed by revolving D about the x-axis is: revolving D about the y-axis is: Note: Give your answer to the nearest hundredth and use the decimal symbol "."

Q: Determine whether the series E " *" converge or diverge using alternating n+1 series test. o (-1)" D...

A:

Q: Write out the First three terms of the following infinite series (-1)" Sin nt n=1

A:

Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi ...

A: To Identify: The coordinates of the point in polar form based upon the given conditions. Given infor...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A:

Q: n

A:

Q: 1. f(x)=3sec(2r-45°)-2 | Amplitude: f(x) Period: Vertical Shift Horizontal Shift

A:

Q: Find the inverse of the function. f(x)=x+5x+11

A: f(x)=x+5x+11f(x)=6x+11

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose t...

A: ∫xr dx = xr+1r+1+C

Q: EX g. Evalual.f.x.dA.wha.R.. the..s.in.the frirst. quandrant.bounded.by.xy=16.. X.8.y.....x..-

A:

Q: 27. y (2, 12) 3

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: 4. J(2y + 3)? у+2 dy

A: Find your answer below 

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y ...

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope & equation of tangent line.

Q: Find the vertical asymptotes for each function when they are graphed from −2? to 2?. a. ? = sec  b...

A:

Q: 2.Determine whether the following sign series is divergent or absolute convergence or conditionally ...

A:

Q: Given the differential equation y" - 2y' – 24y = 7 x² e-5x Determine the Wronskian for the different...

A:

Q: [xsechtx'dx

A: Topic:- integration 

Q: aqu o sanb Using Formula i and solving for the required integral, we get j sec's de - {(see x tan x ...

A:

Q: Xcvb

A:

Q: For the next three questions, consider the differential equation: y" - 2y + y = e arctan r 48. If th...

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A:

Q: 1 S (x) = - x - 4 Il discontinuous points of (see the graph) are

A: f(x)=1/x^2-4 f(x)=1/(x-2)(x+2) f(x) is defined when x-2≠0,  x≠2 x+2≠0,  x≠-2  

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A:

Q: Use the difference an+1 - an to show that the given sequence {an} is strictly increasing or strictly...

A: given sequence n7n-6n=1∞

Q: Question Given the graph of y = f(x), shown as a red dashed curve, drag the green movable points to ...

A: We need to transform graph.

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How ...

A: This question can be solved by using the equations of motion.

Q: Question The graph of y =f(x) is shown below (dashed curve). Manipulate the green draggable points t...

A:

Q: _15. lim X-4 2x-8 is x+4 a. 0 b. -6 c. 2 d, does not exist

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: Note that: The jump discontinuity means the left and right-hand limit exists but not the same. And, ...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: f) = In(tanx) -1 %3D

A: ddxlnarctanx  

Q: Steps are being attached to a deck, as shown in the figure to the right. The bottom of the steps sho...

A: Topic   -  trigonometry 

Q: 1. Use the graph of the function below to answer the following: -6 -5 -4/-3 -2 1 2 /3 4 $ 6

A: According to grapha. f1 =2b. limx→2+fx=-3c. f2=1d. limx→0fx=-4e. f3=12f. limx→-1.5fx=0g. f4=2h. limx...

Q: The integral of the given function | cos(9x) cos(5x)dx is equal .. 14 sin 4x + 4 sin 14x А. · + C 12...

A: This question can be solved by applying the formula of 2.cosA.cosB

Q: 8.4: 37 37. For which of the following series is the Ratio Test inconclusive (that is, it fails to g...

A: Given problem:-   

Q: Q3) If P(2,-2, 1) , Q(3,-1,2) and R( 3,-1,1) ノ の)ind the area of the triangle determined by the Poin...

A:

Q: 8. f(x)=3csc(x-x) f(x) Amplitude Period Vertical Shift: Horizontal Shift

A: Solution is here

Q: *Introduction to Derivatives (x²+2x-3 if x#1 (4 Using the 3 conditions, show that f(x) = is both con...

A: Three conditions of continuity of a function f(x) at x=a: (i) f(a) is defined. (ii) limx→a f(x) exis...

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequ x2 + 1 an = n2. ...

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: The given integral,           ∫015238-38x2dx

Q: Q4-Find the domain, range, intercepts, symmetry, and asymptotes y = f(x) = /x² – 5x + 6 -

A:

Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - oo and oo wh...

A:

Q: /6х — 22

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: Write out the First three terms of the Following infinite Series: (-1)^ Sin nt n=1

A:

Q: ons whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) = g(g(x)). Find each deriva...

A: We have to choose the correct answer from the given options according to the given information

Q: Determine whether the series converges, and if so find its sum. Σ 4k+2 7k-1 k=1

A:

Q: )an = (-1)n-1" +10 sin(n) 3n + 2

A:

Q: Find the tangent line to the curve y = x^2 −5x + 11 at the point (1, 7). Use the limit definition of...

A: slope of the tangent line is m=dydx at (1,7)   By limit definition of derivativedydx=limh→0f(x+h)-f(...

Q: (8) Find all k so that aek= dx converges. In this case, find the value.

A: Given problem:-

Q: 1. S dx x³+2x x2+1

A: