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4. Find a general solution of t^2x′′ − 5tx′ + 5x = 6t^3, t > 0...
At a university all students must take a test to see if they understand campus polices....
y1 = 2 cos(x) − 1 is a particular solution for y'' + 4y = 6...
Prove that the function f(x) = |x| is not differentiable at zero, and show that the...
1) Use Strong Induction to show that for each n ≥ 1, 10^n may be written...
Applythe Gram-schmidt orthonormalizaion proceudre to the set 1,x2,x4 which is linearly independent on the interval [1,2]...
Let A = {1, 2, 3, 4, 5}. Describe an equivalence relation R on the set...
b. Write down a tree corresponding to Prufer sequence 11111, 12345, 54321.
Determine if H is subgroup of G, if so prove it, if not explain 1. H...
On March 26, 1999, David L. Smith of Aberdeen Township, New Jersey, launched the infamous Melissa...
Suppose that we want to know the mean income of residents in Brazos County. Call this...
Prove the composition of two homotheties is a translation with the same center.
Market supply and demand for ovens are given by p equals Upper S left parenthesis q...
Direction: Compounding More than once a Year. Use the appropriate compound interest formula to compute the...
Define the relation S on RxR by (x,y)S(a,b) if and only if x^2 + y^2= a^2...
An entrepreneur pitches his new product to a group of potential investors. In his pitch, he...
Define a relation R on Z by aRb if and only if |a| = |b|. a)...
discrete math proof: if A and B are sets and f:A ->B is one to one...
if you have 15 total ingredients for pizza. 6 meats, 8 veg, 1 extra cheese. if...
An object has a mass of 2 Kg. It is attached to a spring that has...
find laplace transform of f(t) =t^2(sin3t) find inverse laplace transform f(s) = 2-2e^-s/s^2
1) Consider the function k(x)=ax−12, where a is a constant. Given k(2)=24, calculate a. Provide your...
From a group of 10 boys and 12 girls, a committee of 5 students is chosen...
The annual coffee expenditures for households are approximately normally distributed with a mean of $ 48.57...
Find the maximum and minimum values of x2+y2 subject to the constraint x2-8x+y2-4y=0. The minimum value...
a) Find the 2nd degree maclaurin polynomial for f(x) = sqrt(1+x) to estimate value of sqrt(1.1)...
Fertilizer is sold in bags labeled with the amount of nitrogen (N), phosphoric acid (P2O5), and...
Give an example, with justification, of a function that is not differentiable.
(c) Naomi Osaka played in tennis matches for a total of 11 hours and 18 minutes...
let A be a linear trans. T(x,y)=<-y,3x> find u and v so that t(u+2v)=<-7,0> and t(u-2v)=<5,12>
1. Present a problem with solution solving the centroid of a solid of revolution using the...
Show that the set {sin x,sin 2x,sin 3x} is linearly independent over R.
Consider the function 1 ( 1 − x ) 4. To derive a power series, we...
Let ⋆ be an operation on a nonempty set S. If S1, S2 ⊂ S are...
Suppose the demand equation for a certain product is given by ?(?) = √(−2? + 300),...
Prove by induction that 1*1! + 2*2! + 3*3! +... + n*n! = (n+1)! - 1...
COVID-19 is modeled by the function where represents the number of people infected on a cruise after...
find the boundary- value problem y’’ + 2y = 4x, y(0) = 0, y(1) + y’(1)...
1. Let M be an R-module and if m0 ∈ M \ {0}, let us denote...
For this discussion, you will consider fluid force. In your initial post to the discussion, answer...
Does P = NP? Question 1 options: 1) Yes 2) Probably (but we don't know for...
Let’s create a dictionary between logical notions and characteristic functions: Suppose that A and B are...
Suppose there are two problems, C and P. C is known to be NP-Complete Suppose that...
Let M/F and K/F be Galois extensions with Galois groups G = Gal(M/F) and H =...
Arrange the following cardinal numbers in order (some will have the same cardinality, and in those...
Consider the relation R defined on the set R as follows: ∀x, y ∈ R, (x,...
True or false? "Absence of evidence of illness is necessary for a clean bill of health...
A recent college graduate borrows $100,000 at an interest rate of 7% to purchase a condominium....
1. Let ?(?, ?) be the statement that “? = 2?” where m and n are...
A strand of bacteria has a doubling time of 30 minutes. If the original population started...
The lives (in hours of continuous use) of 100 randomly selected flashlight batteries are: 6.95−7.45 1 ...
A rectangular piece of cardboard measuring 14 cm by 12 cm is made into an open...
Use the confidence level and sample data to find a confidence interval for estimating the population...
Location Percent Obesity Median Income Alabama 33.5 49,936 Alaska 29.7 68,734 Arizona 28.9 62,283 Arkansas 35.9...
y' + xy = 1+x solve using power series
2. Let f(x) = sin(2x) and x0 = 0. (A) Calculate the Taylor approximation T3(x) (B)....
Use the confidenve level and sample data to find a confidence interval for estimating the population...
Use Euler's method to approximate y(1.2), where y(x) is the solution of the initial-value problem x2y''...
The number P(t) of people in a community who are exposed to a particular advertisement is...
Suppose A, B, C are n x n matrices with det. A =1,det B =-1, det...
The number P(t) of people in a community who are exposed to a particular advertisement is...
A survey of the opinions of eleven leading economists in a certain country showed that, because...
Theorem: If m is an even number and n is an odd number, then m^2+n^2+1 is...
To start a new business, Ryan Brewster deposits $1500 at the end of each six-month period...
Given a, b, c ∈ G, solve for x (show all your steps): 1. {(x∗a∗x)∗(x∗a∗x)∗(x∗a∗x)=b∗x and...
Used induction to proof that f_1 + f_3 + f_5 + ... + f_(2n-1) = f_(2n)...
Let T(x,y,z) = (13x − 9y + 4z,6x + 5y − 3z) and v = (1,−2,1)....
Consider the inverse cosine function, defined by y equals cosine Superscript negative 1 Baseline xy=cos−1x or...
Determine all the zero-divisors in Z30
Used induction to proof that (f_1)^2 + (f_2)^2 + (f_3)^2 + ... + (f_n)^2 = (f_n)...
Define T:R^2 -> R^2 by T(x,y) = (x+3y, -x+5y) and let B' = {(3,1)^T, (1,1)^T}. Find...
the indicated function y1(x) is a solution of the associated homogeneous equation.use reduction of order formula....
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then...
Suppose that p is a prime. Prove that p | a if and only if p...
ASK YOUR TEACHER Consider the sample space given below. A die is a cube with six...
Find (sqrt3-i)^12
. A random sample of 20 students has an average score of 75 and a standard...
Determine the roots of the equations: a) Z3 = -4-3i b) Z5 = 1+6i
Prove by contradiction that "The Cantor Set is Uncountable"
A record club has found that the marginal profit, Upper P prime left parenthesis x right...
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