Use the integrating factor to solve y 0 = −3x 2y + sin(x)e −x 3 , with y(0) = 1
In a multiple regression model if ssr is 75 and ssyy is 100 then rsquare is ?
Suppose that U=[0,infty) is the universal set. Let A=[3,7] and B=(5,9] be two intervals; D={1,2,3,4,5,6} and E={5,6,7,8,9,10} be two sets. Find the following sets and write your answers in set/interval notations:
a) ^C
b) (A^C)^CE
c)
Find the largest possible domain and largest possible range for each of the following real-valued functions:
a) F(x)=sqrt((4x+3)/(2x-1))
b) G(x)=2/(x^2-6x+8)
Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion.
f(x)= x^4 - 3x^2 + 1, a = 1
The area of a quadrilateral whose vertices are O(0,0), M(4,1), I(5,3), L(3,4) is
What is the current value of an overdue annuity for which quarterly payments of $2,850.00 MXN are made for 4 years, which are charged an annual interest rate of 12% compounded quarterly?
A chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth is used in one serving of soup? Let x represents the amount of broth.
Louisa biked 50 4/5 miles in 4 hours. How many miles did she bike per hour? Let represent the number of miles.
Refer to Given in Number 18. What is the probability, that a randomly selected student did not participate in any club?
Natasha contributes land to the newly formed Romanoff Partnership in exchange for a 40% interest. The land's adjusted basis and fair market value is $540,000. It is subject to a $300,000 liability, assumed by the partnership. At year end the partnership's accounts payable are $140,000 and the assumed debt liability is $180,000. Romanoff opened a $320,000 line of credit but did not draw on the line. To secure the line of credit, each partner had to contribute an additional $40,000. All liabilities are allocated proportionately. The partnership's income is $200,000. Romanoff distributed $100,000 to Natasha. What is her ending outside basis?
Solve the IVP using Laplace transform:
𝑥
′′(𝑡) + 4 𝑥(𝑡) = 4 𝑢5(𝑡) with 𝑥(0) = 0 and 𝑥
′
(0) = 1.
Determine whether the set of functions f1(x) = x, f2(x) = x − 1, f3(x) = x + 3 is linearly independent on the interval (−∞,∞)
find the rank of 4 1 3 3 3
7 -1 6 0 6
2 3 8 2 8
which expression has both 8 and n factors