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Use Fermat's Little Theorem to compute the following remainders for 44824482 (Always use canonical representatives.) 4^482=...
If z = x2 − xy + 7y2 and (x, y) changes from (2, −1) to...
For Discrete Mathematics, Give an example of a partial order relation that is defined on a...
Consider a scalene right triangle such that if you draw a line that bisects the mid-sized...
Show that any function which is meromorphic in the extended plane is rational.
Solve the given differential equation by undetermined coefficients. y'' − 2y = 4e^x cos x
In the triangle OAB, OA=a and OB=b. M is the midpoint of AB and N is...
:The exponential function f(x) = e x dominates any ”power of x” function as x increases...
lim n to infinity 5^n+1/(n+1)! i knew i should use L hospital rule but how i...
The demand function for a certain brand of CD is given by p = −0.01x2 −...
For three statements P, Q and R, use truth tables to verify the following. (a) (P...
1. Write the new function y=x^3 is reflected with respect to the x axis, stretched by...
An annuity immediate pays 200 every month for 10 years. Calculate the present value at the...
Prove that if G is a group with |G|≤5 then G is abelian.
1.) Think of a time when you had to use your math skills outside of a...
Please write formulas and not solve in excel, i need to hand write and show work...
the price of a home is $320000. the bank requires a 5% down payment. after the...
19. Use the 64-bit long real format to find the decimal equivalent of the following floating-point...
suppose that you decide to buy a car for $25635, including taxes and license fees. you...
Solve the differential equation using method of Undetermined Coefficients. y'' + y = t^3, y(0) =...
($4.2 Reduction of Order): (a) Let y1(x) = x be a solution of the homogeneous ODE...
Find ? as a function of ? if ?‴−13?″+36?′=72?^?, y‴−13y″+36y′=72e^x, ?(0)=25, ?′(0)=30, ?″(0)=11
Suppose that Newton’s method is applied to find the solution p = 0 of the equation...
Let G be a group with subgroups H and K. (a) Prove that H ∩ K...
please choose your favorite, unique plane in R3 that passes though the origin (0,0,0). (An example...
show proof with all explanations please!! will give a like. theorem: Suppose R is an equivalence...
When interest is compounded continuously, the amount of money increases at a rate proportional to the...
Find an absolute max for the function f(x,y)=xy defined on the region D={(x,y)/ x^2/16+y^2<=1}. Do this...
n×n-matrix M is symmetric if M = M^t. Matrix M is anti-symmetric if M^t = -M....
Solve the given differential equation by undetermined coefficients. y''− 4y = 8e^(2x)
a) Write equivalent predicate statements for the following English statement i. Every teacher loves some painter...
After a perfect out-shuffle, then out-shuffle, then out-shuffle, where does the card that starts in position...
When climbing a staircase, you can take either one or three stairs in a single step....
Which of the following groups of order 8 are isomorphic: D4, Q8, Z/8Z, Z/4Z × Z/2Z,...
The contribution margin on Mimi's Banana Nut muffin is $3.79 each, while the contribution margin on...
an urn has 22 balls that are identical except that 7 are white, 8 are red,...
International Air Transport Association (IATA) requires that any checked baggage on any flight must satisfy the...
Find a solution to the Diophantine equation or explain why no solution exists. 105X+91Y=7
Scientists are attempting to test the ability of a new measurement device to accurately record a...
In a certain city the mortality rate per 100,000 citizen due to automobile accidents for each...
Please provide a 200 post providing tips and tricks to Green's Theorem and solving Surface Integrals....
A fair coin is tossed until a head is obtained. What is the probability that the...
A fair die is thrown seven times. Find the probability that the outcome contains one ‘1’,...
United Parcel Service has contracted you to design a closed box with a square basethat has...
If a and b are any odd integers, then a^2 + b^2 is even.
1. For the following, make sure you explain which basic functions in F1-F3 you are using,...
H(a1,…,an)={(x1,…,xn)∈Fn : a1x1+⋯+anxn=0} Consider the special case of H(1,2,3)⊂R3 defined as above for (a1,a2,a3)=(1,2,3)∈R3. Find a...
Use the simplex method to solve the linear programming problem. Maximize P = 6x + 5y...
Construct a sequence {sn} with the following property: For each rational number r ∈ [0, 1],...
Suppose T: P2(R) ---> P2(R) by T(p(x)) = x^2 p''(x) + xp'(x) and U : P2(R)...
2.23. Let R be a commutative ring. Suppose that P is a subset of R with...
(a) Show that A ⊆ NG(A) is not necessarily true when A is not a subgroup...
Let G be a connected graph. Show that G has a subtree that is a maximal...
1. Suppose that a = d · k + b, where a, b, d, k are...
Consider a function (fx) such that L(f)(2) = 1; f(0)=1; f'(0)=0 Where L(f)(s) denotes the Laplace...
Verify that the given function is the solution of the initial value problem. 1. A) x^3y'''-3x^2y''+6xy'-6y=...
In Exercises 19–28 find the coefficients a0, ..., aN for N at least 7 in the...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Solve the initial value problem. 5d^2y/dt^2 + 5dy/dt - y = 0; y(0)=0, y'(0)=1
The youngest of 3 children calls a number lucky if its divisible by 3 with a...
Using undetermined coefficients superposition approach find the general solution for: y'' - y = e^(x) +...
8 A story for a better world All good people care about others. To care about...
Suppose y(t) is governed by ODE t3y'''(t) + 6t2y''(t) + 4ty'(t) = 0. Solve this ODE...
Question 3. There are 100 types of coupons. Independently of the types of previously collected coupons,...
Solve the DE (x^2)y' + xy = (x^3)(y^2) , subject to y(0) = -0.15
For ~r(t) = t^(1/3)ˆi + (1/t) ˆj + e^(−t)ˆk find (a) the domain of ~r and...
Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, A = {5,...
What is the a connection between isometry groups and Lie manifolds? A Lie group is a...
Let A be an n × n matrix, v a column vector, and suppose {v, Av,...
f(x)=7e5x-4 1.Find out f(x) for (-5,-4,-1,0,1,3,5) 2. Find where it cuts the y-axis. 3.Find zero of...
Prove that if for epsilon >0 there exists a positive integer n such that for all...
Proof: Show that R is symmetric iff R = Rc where the super script 'c' represents...
Use the Stokes theorem to write surface integral as line integral and calculate the area of...
Let a,b and epsilon be elements of an ordered field a) show that if a<b+epsilon for...
solve the following differential equation 4a) ? ′′ + 2? ′ + ? = 3? +...
solve the differential equation 1) ? ′′ − 2? ′ + 10? = ? −? 2)...
Let f(x) = x^2 + 1, x ∈ [2, 7]. Let P = {2,4,5,7}. Find L(f,P)...
The latest data from the CDC indicates that 14% of Americans are smokers. A researcher wants...
Consider the following linear programming problem. Maximize P = 4x + 6y + 9z subject to...
Let L = span{(2,1)} + {(4,0)}, and let S be the set of convex linear combinations...
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