Express your answer in 2 decimal places.

Q: 8 en Vn! n=0

A: We will check the convergence of the series. 

Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: Find the surface area of a square-based pyramid whose lateral faces are isosceles triangles with bas...

A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: Question 4 dx 1 the integrand is x2 In A) True B False

A:

Q: dy (10) (8у — х?у)+x- ху? — 0 dx

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

Q: A. y= x - 3x + 4 (1, 2) В. х?+4 у? 3 25 (3, 2)

A: Follow the procedure given below.

Q: sin(5æ) lim when x is measured in degrees. sin(5æ) lim (Give your answer accurate to at least 0.01.)

A: The objective of the question is evaluate the limit of the function.

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x - 3, g(x)= 4x – 5 (fo g)(x) = (Simpli...

A: f(x) = x2 - 3 g(x) = 4x - 5 (f o g)(x) = f(g(x)), g(x) function is in f(x) function  f(g(x)) = [g(x)...

Q: Write the partial fraction form of the following expression: -7 x²+15x+56 Note: You are not asked to...

A:

Q: Find (f)(a). (x) = 3x + 3x² + 7x + 7,

A: We are given the following. We know that . So,         f-1'(7)=1f'f-1(7).

Q: II. Evaluate the limits. tan 0 2. lim 0 -0 sin 20 (y-#)* 2. 4. lim t 1-sin y y - 2 2.

A:

Q: Given the differential equation 2 y" + 18y = 6 tan(3x) Determine the value of u2. AH2 "3 =" 9* In[se...

A:

Q: Convert the point from rectangular coordinates to spherical coordinates. (-8, –8, V7)

A: The given point -8,-8,7

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

A:

Q: 3y(x² - 1)dx + (x³ + 8y - 3x) dy = 0

A: This question is related to differential equation. Solve in step 2.

Q: Find the point on the graph of z = 3x2 – 3y? at which vector n = (48, –60, –2) is normal to the tang...

A:

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

A:

Q: Find the limit or indicate that it does not exist. lim t→L 5 i+ 4 sin i+ t k cos tan Select the corr...

A: limt→πsint2i+cos54tj+tan53tk

Q: Use the method for solving Bernoulli equations to solve the following differential equation. +7y e*y...

A: Follow the procedure given below.

Q: C f (x) E B. А F

A:

Q: Use the Product Rule to calculate the derivative for the function h(s) = (s¬2 + 8s) (5 – s-1) at s =...

A:

Q: Given an initial value problem y = 2xy, y(1) = 1; y(1.5). (i) Find an explicit solution of the initi...

A: Given IVP y'=2xy , y(1)=1   , y(1.5) =?

Q: 5*+1.In5 +C e5 - s*) dx 5 л+1 A) True B False

A:

Q: How would I find a cost function if only given the fixed cost and variable cost?

A: Cost function is obtained by the sum of fixed Cost and variable cost

Q: 4. Find the area of the triangle with the vertices A(2, –3,4), B(-1,-2,2), and C(3,1,-3) then find t...

A: We will find the area and the angle of the triangle.Where points A, B,C are given.Below find the sol...

Q: Use the method for solving homogeneous equations to solve the following differential equation. (x^2...

A:

Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

Q: (a) f(x) = V3x + 5 2 (b) f(x) =

A: We need to find the second derivative of the given functions.

Q: Let r(t) = -6t2 î+ (t² +3) ĵ + 7 k for t > 1. Reparameterize in terms of the arc-length parameter.

A:

Q: Solve the given differential equation by undetermined coefficients. y" – y' + y = 2 + ex/2 %3D y(x) ...

A:

Q: Find the Taylor series generated by f at x = a. 1 f(x) = Choose the correct answer for the Taylor se...

A: f(x)=1x2, a=1

Q: 2. BASEBALL A baseball player hits the ball at a 28 angle with an initial speed of 103 feet per seco...

A:

Q: Use substitution to find the Taylor series at x = 0 of the function 22 sin (- x). What is the genera...

A: The given function is 22Sin(-x).

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

A:

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end...

A: Given :Directed distance s from the origin at the end of t seconds is t3-6t2+9t feet.To find :When i...

Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answ (-4)" n°...

A: We have to check Series convergence. 

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A:

Q: A person's Body Mass Index is I = ", where W is the body weight (in kilograms) and H is the body hei...

A: Given Body mass Index   I=WH2

Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. 1-X 1 f(x) = g(x) = ...

A:

Q: This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the...

A: We are asked to  draw the graph.

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A:

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

Q: x* In xdr

A: We are asked to evaluate to integral.

Q: ditferential equatios 1. ( D+ GD+ 13)y 26 + GO cOS X

A:

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

A:

Q: (a) Suppose g(x) = L flm2, f(1) = 3 and g'(1) = 7. Find f'(1). f(x))² * (b) If g is a twice differnt...

A:

Q: Given a differential equation x = (tx) that passes through a point (fo, xo), determine a region of t...

A: The differential equation is given as , x'=tx12 determine the region of tx-plane for unique solution...