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y'''' - y'' = x2 + sinx Find the general solution. (Differential Equations)
In a blending case, X1 denotes the number of gallons of carrot juice to use in...
find y(t) solution of the initial value problem y'=(2y^2 +bt^2)/(ty), y(1)=1 t>o
Y'''+Y'=0 Let v(t)=y'(t), write the differential equation satisfied by v.
For January 1, 2019 through December 31, 2000 thousand 19 the standard mileage mileage rate is...
(a) show that {x, e^x, e^2x} is a linearly independed set. (b) Let A be a...
Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the...
find the equation of the tangent lines at the point where the curve crosses itself: x=cos^3(theta)...
Given a square with side a. Format an optimization problem so that n circles with a...
Determine the limits of the following sequences. The prove your claims using an e - N...
Use the cipher: f(x)=(x+7) mod 26 to decrypt “THAO ALZA”.
Find the particular integral of the following differential equations.(Explain each step clearly) (a) d2y/dx2 + y...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set...
4. Consider the function ?(?) = ? + 1 ? − 2 Defined for ? >...
Please answer this two questions a) What group is A3 Isomorphic to? b) Consider the group...
i) show that the function f: Q->Q defined by f(x)=1/((x^2)-2) is continuous at all x in...
Consider the sequence (xn)n given by x1 = 2, x2 = 2 and xn+1 = 2(xn...
For the general form of the Fibonacci sequence: Given a, b, and c. Let x0=a and...
Prove Cantor’s original result: for any nonempty set (whether finite or infinite), the cardinality of S...
Use Newton’s method to find all solutions of the equation correct to eight decimal places. 7?...
The integral ∫-1(bottom) to 0 ∫sqrt(−1−x2)(bottom) to 0 −4/(−5+sqrt(x^2+y^2)dydx is very hard to do. If you...
Use the Divergence Theorem to calculate the flux of ?F across ?S, where ?=??+??+??? F=zi+yj+zxk and ?S...
Danica and Darrelle have developed a lucrative business selling handmade silver bracelets. Darrelle makes the more...
Let {V1, V2,...,Vn} be a linearly independent set of vectors choosen from vector space V. Define...
Verify that(50!)2≡−1 (mod 101).
How many positive integers less than 50 are not divisible by 2, 3 or 5? [8]...
Determine if the series converges or diverges (show your work): n! / nn
1. Find P(- 1.68 < Z < 1.68) Group of answer choices A. .9535 B. .9070...
Complex Analysis: Solve the following complex equation: z^8 + 1 = 0 (There should be 8...
1. Find the partial fraction decomposition of the rational function: (2s − 4)/(s^2 + s)(s^2 +...
Suppose that pn is a sequence of polynomials converging uniformly to f on [0,1] and f...
1) Consider two vectors A=[20, 4, -6] and B=[8, -2, 6]. a) compute their dot product...
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less...
The base and sides of a container is made of wood panels. The container does not...
The function f(x) = sin (5x^2 ) does not have an antiderivative in terms of the...
10)(12pts)LetP(x)=x5 +ax4 +bx3 +cx2 +dx+e.P(4)=P(5)=P(6)=P(7)=P(8)=0.Whatis the value of a - b + c - d +...
Define a new logical connective ⋆ as follows: P ⋆ Q is true if P is...
Solve the differential Equation: y’’’’ – 4y’’ = x2+ e2 Use the Method of Undetermined Coefficients, please.
A tank contains 300-gallon of pure water. At time t = 0, a solution containing 2...
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order,...
V(t) = 2t^3 + 3t^2 + sqrt(3) It is well known that the distance covered by...
Prove in 3 different ways that a constant sequence converges
Let B = { f: ℝ → ℝ | f is continuous } be the ring of...
Due to the difference in gravity, to play basketball on the moon engineers are designing a...
Calculate the accumulated value after twenty years of payments of Dollar 12 000.00 made at the...
Bill decides to save for retirement. The company he chooses offers 6.3% compounded annually. Bill decides...
1.Find the matrix product. 2 1 5 1 5 5 3 −5 5 2. Carry out the row operation on...
Number Theory: Please show all work. Solve each of the following equations for the unknown variable...
9.(12pts) Solve the following IVP, finding x explicitly as a function of t. dx/dt = 0.1x(10-x)...
The sawyer can set a stop pin in the carriage gears so that the lateral movements...
Define the collection of intervals of the real number line C = {[n, n + 1)...
prove that any open interval (a,b) contains infintly many rational numbers? use the completeness property of...
Let m and n be positive integers and let k be the least common multiple of...
Let m and n be positive integers and let k be the least common multiple of...
Use the method for solving Bernoulli equations to solve the following differential equation. (dy/dx)+4y=( (e^(x))*(y^(-2)) )...
Newton’s Law of Cooling tells us that the time rate of chnge in temperature T(t) of...
Let b be a primitive root for the odd prime p. Prove that b^k is a...
Let u be lebesgue measure. Let C be the cantor set. Let Q the set of...
Solve the IVP. Using the Laplace transform. y'' - (r1+r2)y' + r1r2y = Aeat , y(0)=0,...
Choose any polynomial of degree 3 (centered at 0) and recenter it at the center of...
Consider the three groups G1 = Z12, G2 = Z6 x Z2, and G3 = Z4...
For the system ?? ?? = −2? ?? ?? = 1 2 ? with ?(0) =...
determine the aversge rate of change of the following between the given values of the variables:...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
True or False?(AND WHY) If A = [a1...an] and B = [b1... bm] are two matrices...
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
The planes from the m equation Ax=b are in _____ dimensional space. The combination of the...
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
sketch a graph of the even and odd extension for f(x)=e^-x
A company is planning to manufacture snowboards the fixed cost or $100 per day and total...
What is the formal proof for the statement "If c|ab(c divides ab), then a|c or b|c,...
Let there be planar graph G with 12 vertices where every vertices may or may not...
1. f(x, y, z) = 2x-1 − 3xyz2 + 2z/ x4 2. f(s, t) = e-bst...
1).Find the parametrization of the line through (2,8) with slope 13 for given ?(?)=4?. (Use symbolic...
Solve the equation x^2-40x+1=0 using the quadratic formula. Use five-digit decimal arithmetic to find numerical values...
you can either look at prices of a grocery product online or in a grocery store....
the last weekly payroll of Available Temp Services was 33,110 for 55 employees. The company pays...
The use of measurement is common in all our lives, every day. Measurement is also part...
Solve the differential equation y"(x)+9xy(x)=0 by assuming the solution is a power series. Be sure to...
In this problem, consider the Diophantine equation: 703 = 30x + 11y. (a) Describe ALL integer...
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