Which of the following gives the volume of the solid created by revolving a curve f(x) around the y- axis? O V = 2n fox f(x) dx OV=Tfxf(x) dx O V = 2π f x² f(x) dx O V = ² xf(x) dx

Q: lin x→ Sin 2021x Sin 20222

A: We have to find the limit

Q: 8 34) 2xe-x² dx <80 A) Convergent B) Divergent

A:

Q: Let the vector v have an initial point at (5, −3) and a terminal point at (1, —8). Determine the…

A: Determine the components of vector V

Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: For what positive values of p the following Alternating Series converges 3n [(-1)"³" pn n=1 p=3 Ο Ο…

A: We have to find the value of p

Q: The table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

A: Here, the work done is given by: W=∫018f(x) dx

Q: Work through the following steps to evaluate S. ( (x² + 4) dx. a) We know that a = and b = b) Using…

A:

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

A:

Q: 2) Given that f(x)=-4x+8, what is the average value of f(x) over the interval 1-5,-3]

A:

Q: Let f(x) = In(64x2 + 16x + 26). (If an answer does not exist, enter DNE.) (a) Find the interval(s)…

A:

Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

A:

Q: Calculate the integral approximations Tg and Mg for (lnx)-¹1 dx. Your answers must be accurate to 8…

A: Given problem:-

Q: Determine the equation of the hyperbola with center (-1, −6), a focus at (-1,-16), and a co-vertex…

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

Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (7x²2) to…

A: Maclaurin series of sin(x) :              sin(x) = x-x33!+x55!-x77!+...

Q: Q1. Evaluate the integral S dx (x + 1)(x² + 1)

A: We need to evaluate the following integral ∫01dxx+1x2+1

Q: A spherical water tank 1 ft in radius, has a spout of length 1 ft at the top of the tank, is full of…

A: Given problem:- A spherical water tank 1 ft in radius, has a spout of length 1 ft at the top of the…

Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

A:

Q: The scale of a map measures 1 inch: 1250 miles. If the distance between two cities measures 3 inches…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 14-2²…

A:

Q: Let w=x² +3y² + 2z² where x=rcos, y=rsin 0,z=5t find dw dw ar' at

A:

Q: Find the interval of convergence for The interval of convergence is a E esc # $ 2 9 20 W C 3 e L 4 r…

A:

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

A:

Q: Given cos(8)= - 5 m<8<³ 2 for π<8<- then tan(0) =

A: We can find the answer as below.

Q: What is the component form of the position vector for a vector with an initial point of (-1,0) and a…

A: We have to find component form of position vector.

Q: Write TRUE or FALSE before each statement. Solve yy= - dependent variable. Statement 1. The…

A:

Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

A:

Q: Compute the area of the region enclosed x² 5x X 1) y 2 2 2 +

A:

Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)

A:

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: incorrect please re-provide

A:

Q: dy Use Picard's method to solve =-xy, y (0) = 1 dx Find y3(1)?

A:

Q: Question 10 Find the general antiderivative of f(x) = O2 In|ln 2x + C 1 + C 2 In 2x Olnln 2x + C + C…

A: The objective is to find the general antiderivative.

Q: 2 cosh x +losion2x = 5

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

Q: Apply the definition to differentiate the following functions: 1- y = ₁

A:

Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

A:

Q: Determine the equation of the hyperbola with center (3, -3), a focus at (16, –3), and a co-vertex at…

A: To find out the equation of hyperbola.

Q: What is the component form of resultant of 26 - 3ā? à = (2,-3) 6=(-1,5) Enter your answer by filling…

A: Given query is to find indicated vector operation.

Q: In APQR, p = 6.7 inches, r = 2 inches and /R=142°. Find all possible values of ZP, to the nearest…

A:

Q: y = 2 sin (20+ 4π 3 ^

A: Given query is to find phase shift.

Q: Find the volume of the region bounded above by the plane f(x,y) = 6x +2y + 25 and below by the…

A:

Q: dy dx +y = 0 y(0) = 1 Using Power Series, solve for y(x) at x₁ = 0 Using First Order Runge-Kutta…

A:

Q: Let the vector v have an initial point at (−5, −4) and a terminal point at (−3, 1). Determine the…

A: We have to find component vector

Q: We are interested in the first few Taylor Polynomials for the function f(x) = 5e + 3e¯* centered at…

A:

Q: lim,+-1 f(x) = $1 # 1 affe # HE 3 52 #1 0 EM 0

A: The objective is to evaluate the limit.

Q: Evaluate the integral| c. ff sin x dA; R is the region bounded by the lines y = 2x, y = x and x = .

A:

Q: Using Root Test the series Σtan where n 7n4 an = 3n4 + 4n - 5 diverges since 7 lim an == n→+∞ 3 the…

A:

Q: Suppose that f(x, y) = y√√³+1 on the domain D = {(1, y) | 0 ≤ y ≤z≤ 4}. Q Then the double integral…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: II. (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) Investigate…

A: we have to check continuity at x=1 for the given function

Q: Solve the following equations by using Cramer's Rule 2x + 2y + z = 1 x-y + 6z = 21 3x - 2y-z = 4

A: