What is the volume of the solid formed by revolving the region bounded by 10y = a? and 10æ = y? about the y axis? (Choose all applicable answers.) Ov = T 10y)dy 100 10 OV= 10x)dr 100 Ov = 27 0 (V1Om %3D = T " (10y )dy 100 Ov = T f° (10z - 100 Jdr Ov = 27 f° ( - V10ui )dæ Ov = 27 f° ( - V10yi )dy Ov = 27 f° (V10yi - dy

Q: ||r(t) × r"(t)|| ||r"(t)||³ Use the formula k(t) = to find k(t). r(t) = eti+ej

A:

Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x--4 x2-2x x+4 2.…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: Find the value of V®dx 0.

A:

Q: ||r(t) × r"(t)|| Use the formula k(t) to find «(t). r(t) = e*i+etj K(t) =

A:

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A:

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: Evaluate the definite integral. e141 i + ej +t k )dt O e14 – 1 1 Li+ (e- - 1) j+, k 14 (e4 – 1) i-…

A: Definite integral

Q: Prove that lim 1 1 by definition.

A:

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

A:

Q: Use Green's Theorem to evaluate the line integral (y – x)dx + (2x - y)dy for the given path. C: x =…

A:

Q: e consider the non-homogeneous problem y" +4y =-32(3x + 2) First we consider the homogeneous problem…

A: We need to solve IVP.

Q: 3. a) If 2 - i is a root of x³ – 2x² – 3x + 10 = 0, find the other complex root. b) Calculate the…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

Q: Question 3 Find the area enclosed by the curves y y = 2 V1- 9x2 O V5- 9. 2n B 3 5n D 6

A: Solution is given below:

Q: e sin (e^) cos" (e*) c 6. COS

A:

Q: Find the first and the second order partial derivatives of the following functions.

A: Explained below

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A:

Q: JoFe is going to Fusion Plex to watch one movie. His choices of genre are "action", "horror" or…

A: topic - combination and permutations

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: f(x,y) = 2y3–3y² – 12y+2x2 – 4x+2.

A:

Q: re

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

A:

Q: Compute the composite functions fog and gof and discuss their domains, where f (x) =vx, g(x) = 1 –…

A:

Q: e Newton's method to approximate a root of the equation 5x+ 7x +3 = 0 as follo 1 = -1 be the initial…

A: answer is in next step

Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

A:

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 y -6+

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given :r(t)=cos(πt)i-ln(t)j+t-14k ; t0=15To find : The domain of r(t) and the value of r(t0)

Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

A: This is a problem of finding volume using integration . Based on the formula and concept we will…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Use Newton's method to approximate a root of the equation +x + 4 =0 as follows. Let 1 = - 1 be the…

A: The given equation,    x3+x+4=0

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: dy Find dx 4t t dt + 2 y = dt - t° + 2 - 3 6. dy dx (Simplify your answer.)

A:

Q: Dx) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and…

A:

Q: An individual needs a daily supplement of at least 312 units of vitamin C and 170 of vitamin E and…

A: Let, the amount of food I be x ounces.and, the amount of food II be y ounces. as the quantity of…

Q: Obtain the value of P3 (x) using Rodrigues' formula d" P,(x) = (x² – 1)" (2")n! dx"

A:

Q: Find the arc length L of the graph of r(t). r(t)= 4 cos(t)i + 4 sin(t)j + tk, 0 ≤ t ≤ 2π

A: The formula for the arc length is given by: L=∫02π(x'(t))2+(y'(t))2dt Here,…

Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n B 3 D 6. [+

A:

Q: Find the position function s(t) given acceleration a(t) = 2t if v(2) = 0 and s(2)=1.

A:

Q: 2n n E(-1)"; n! n=1

A:

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: For the polynomial -1/2x(3x + 1)*(x - 10)², find the following: a) the end behavior of the graph…

A: Given:    P(x) = --1/2x ( 3x + 1 )4 ( x - 10 )2

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A:

Q: 1+x+y dzdyax Jc JO Jo

A: To evaluate the given iterated integral.

Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r"(t)||3 r(t) = e*i+e*j K(t)

A:

Q: 3. a) If 2 - i is a root of x3 – 2x² – 3x + 10 = 0, find the other complex root. b) Calculate the…

A:

Q: If B = exp(r - 2), what is VxB?

A:

Q: Find f(-5e3* + VE)dt

A: