the solids generated by revolving the region bounded by the graphs of the equations about the given lines. 29. y = x, y = 0, x = 3 (a) x-axis (b) y-axis (c) x = 3 (d) x = 6

Q: d. (4230°)-(222259) (2/140°) (3/300°) (Express your answer in polar form)

A:

Q: y = x(2x+1), y" y = (4x − 3)¹/²2, d³ y dx³

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first…

Q: 4. sinx 1-sin² x dx

A: integration

Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) =

A: nth Maclaurin polynomial for the function :       Pn(x) =  ∑i=0n fi(0)i!xi = f(0)+f'(0)x + f''(0)…

Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y…

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³1 (4t³i + 14tj - 6√tk)…

A:

Q: 10. SHOW ALL WORK Verify the following identity:1 (1 - csc²0) (1 + tan²0 ) = tan² an evels to sty…

A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

Q: the

A: We will solve the Differential equation.

Q: [√x (x - 5)dx

A: ∫xx-5dx∫xx-5x dx∫x32-5x dx

Q: 1 - √xdx

A:

Q: Using the Mean Value Theorem In Exercises 13-18, determine whether the Mean Value Theorem can be…

A:

Q: Prove the identity. (secx+1) (secx-1)=tan ²x Note that each Statement must be based on a Rule chosen…

A:

Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

A:

Q: 16. Let u = ln t, t = 2r and r = √w. Find and simplify du dw in terms of w.

A: As per Bartleby guideline,  we have answered only the first question. Please repost mentioning the…

Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +1 1 lim t +∞ (?, ?) 6t² + 7' 3t ||

A:

Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 4 and below by the…

A: Here, the given region is bounded above by the curve y=g(x)=4 and bounded below by the curve…

Q: Find two positive integers such that the sum of the first number and four times the second number is…

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Question 11 > Suppose f(x)=√√. Give the function for each of the following transformations. The…

A:

Q: and the magnitude of the given vector. (-4, 4, 7)

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A: Solution in done in step 2

Q: If In a 2, ln b = 3, and ln c = 5, evaluate the following: = (a) In (10-2) = b-4c² (b) In √6-³c-²a-1…

A:

Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

A:

Q: Use the following binomial series formula to obtain the MacLaurin series for ∞ (a) (1+z) k=0 (b) √ 1…

A:

Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯³ (xi+yj), с and C: r(t) = et sin ti + et…

A: F.dr is integrated along the curve C.

Q: Find . DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ √√2x² 2x² + y) + tan(x² − π²) = sin¯`¹²(x² − 1) + ½ /

A: To find dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: = Set up the definite integral required to find the area of the region between the graph of y y = 2x…

A: To find the area..

Q: Homework 12 Polar: Problem 2 The limacon r = 1+ csin(0) has an inner loop when |c| > 1. (a) When c>…

A:

Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: (D² - 3D + 2)y = 2e¯* +8 Your answer

A:

Q: 1. Find f(x) if f'(x)=12x¹+3√x+7-2e -4 and f(1) = 4

A: Given f'x=12x3+3x+7x-2ex-4  and f1=4 To find f(x):

Q: I need all the integrals of the trigonometric ratios

A: ∫sin x=-cos x+C∫cos x=sin x+C∫tan x =-ln|cosx|+C

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³ + 146) (4t³i + 14tj -…

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use ∞…

A: The given series is (2n)! /n2 , n from 1 to infinity.

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

A:

Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t L= i j+126t2 k, 3≤t≤6

A:

Q: Which statement is true? If f(x) = 7, then the particular anti-derivative of f(x), is 7x + C If f(x)…

A:

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A:

Q: Select all of the following graphs which represent y as a function of z. 3 20

A:

Q: d²y_dy + y = 0 dx d³y_d²y dx³ dx²

A: Auxillary equation ism3-m2-m+1=0m2(m-1)-(m-1)=0(m2-1)(m-1)=0(m+1)(m-1)(m-1)=0m=-1.1.1  are the roots

Q: 3. f(t) = (tan² t-t²)³ 4. g(x) = eey

A: 3.  Derivative of tan2t-t23

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: To find the domain of the following vector‐valued function.rt=25-t2 i+t2 j-4t k

Q: Finding an Indefinite Integral In Exercises 55-66, find the indefinite integral. 58. far² √²…

A:

Q: x = 10t, y = t², (0 ≤ t ≤ 1). In each part, evaluate the line integral along C. NOTE: Enter the…

A: To find the values of given line integrals.

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Consider the following vector field. F(x, y, z) = 2ex sin(y), 6ey sin(z), 5ez sin(x) (a) Find the…

A:

Q: A stock price is currently $40. It is known that at the end of three months it will be either $45 or…

A: We have to find the value of European put option.