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Advanced-Math Questions
Proposition (Bolzano’s theorem). Every bounded infinite subset of R has at least one accumulation point.
write the vector w=(1,-4,13) as a linear combination of u1=(1,2,3), u2=(2,1,1), u3=(1,-1,2)
show that y1= e^x and y2=1+x form a basis for the general solution of xy''-(1+x)y'+y=0 by...
find the general solution to x^2*y''+6xy'+6y=0
Prove that A5 has no subgroup of order 20.
Let R4 have the inner product <u, v> = u1v1 + 2u2v2 + 3u3v3 + 4u4v4...
Find four groups of order 12 and show that no two are isomorphic to each other.
Define sequences (sn) and (tn) as follows: if n is even, sn=n and tn=1/n if n...
Let Q be the region bounded by the sphere x ^ 2 + y ^ 2...
Q5. The following is a payoff table giving profits for various situations. State of Nature Alternatives...
1A. Complete the table. (Round your answers to five decimal places.) lim x→0 x + 16...
A fleet of eight taxis is to be divided among three airports, A, B and C,...
100 grams of pesticide lindane (C6H6Cl6; MW=291; logKow=3.78) was dumped into a lake containing 400 m^3...
Find a cyclic subgroup of A8 of order 4. Find a noncyclic subgroup of order 4.
Find the Fourier analysis (a0, an, bn) 0 < x < T/2 f(t)= 2At/T T/2 <...
It is known that F(0.95,1,4)=7.71. Using only this information, what is the value of: (a)F(0.05,4,1)? (b)...
find the general solution to: x^2y''-5xy'+9y=x^(-1/2)
Using inclusion-exclusion, find the number of integers in{1,2,3,4, ...,1000} that are not divisible by 15, 35...
Let Q(t) be a matrix, function of time, t. Assume that Q is orthogonal for all...
Prove that for all non-zero integers a and b, gcd(a, b) = 1 if and only...
1. A firefighter who weighs 192 lb slides down an infinitely long fire pole that exerts...
Suppose that f : X → Y and g: X → Y are continuous maps between topological spaces...
The following data of the velocity of a body as a function of time is given....
Can someone draw this out and show steps using matrices? Problem: Your robot starts at position...
1. Let A be the 2x2 matrix in M_{2x2}(C), whose first row is (0,1) and second...
find the solution: y'''+2y''-5y'-6y=7t² y(0)=1, y'(0)=3, y''(0)=-1
Use Lagrange multipliers to find the extreme values of subject to the given constraint 3x+y; x^2...
Prove or disprove. If A is a set with 3 elements, there are 2^3=8 bijections from...
Using either proof by contraposition or proof by contradiction, show that: if n2 + n is...
Using mathematical induction show that 3n < n!, when n > 6
Using mathematical induction show that 6 | (n3 − n) when n ≥ 0.
Hint: it is sufficient to show A implies B, B implies C, C implies D, and...
An electric company charges $ 11.60 per month plus $ 0.11 per kilowatt-hour (kWh) for the...
Applications of higher order differential equations A spring has one of its ends fixed, and a...
Calculate the most probable values of X and Y for the following system of equations using:...
Let V and W be vector spaces and let T:V→W be a linear transformation. We say...
Let f : E → R be a differentiable function where E = [a,b] or E...
Prove if 0 < a < b and 0 < c < d then 0 <...
Show (-1,1)~R (where R= set of real numbers) by f(x)= x/(1-|x|) Use this to show g(x)=x/(d-|x|)...
Prove the following statements using either direct or contrapositive proof. 18. If a,b∈Z,then (a+b)^3 ≡ a^3+b^3...
a)Convert 530 base 5 to base 2 b)Convert 100100110001110 base 2 to base 4 , 8,...
Horsepower developed by an engine varies directly as its displacement. How many horsepower will be developed...
x^2y''-3xy'+3y=x^-2
Prove that every nonzero coefficient of the Taylor series of (1 - x + x²) eˣ
Let G = (V, E) be an undirected and connected graph with Laplacian matrix L. (a)...
A company produces steel rods. The lengths of the steel rods are normally distributed with a...
A tank contain 200 gallons of water. Five gallons of brine per minute flow into the...
Find Relative maxima and minima. y= x^3+3x^2-9x-5
Find the general solution of the differential equation that does not have 3yy'y '' - ((y...
-REI offers a men’s soft-shell waterproof jacket for $199.95. If the jackets cost $1943.52 per dozen,...
Use the indicated change of (dependent) variables to transform the ODE into a Bessel’s equation and...
finite math A manager selects 3 people for a committee from a group of 7 women...
i have the following problem boolean simplfication A'BC' + BC + AB'C' +AB'C I can do...
Determine the Laplace transform of the following functions. δ(t)H(t − 2) + δ(t − 3)H(t) answer...
Suppose (an), a sequence in a metric space X, converges to L ∈ X. Show, if...
Let y(t) be the solution of the initial-value problem y'= sin(y)e^(y2+1); y(0) = 1 Calculate limt->INF...
Let G=Z x Z and H={ (a, b) in Z x Z | 8 divides (a+b)...
Image: bit.ly/2OYFOiI
Please answer the following completely, clearly, and neatly. Thank you. The multiplicative group Un is cyclic....
Harmonic series= 1+ 1/2+ 1/3+ 1/4+1/5+1/6+1/7+1/8+1/9+..... S= 1+1/2+1/4+1/4+1/8+1/8+1/8+1/8+1/16 Explain how and why we replace the harmonic...
Find the sum: 9+12+15+...+24
x^3y''' - x^2y'' - 3xy' =3x
Find the absolute maximum and minimum of the function f(x,y,z)=x^2 −2x+y^2 −4y+z^2 +4z on the ball...
Q14:Determine the natural cubic spline S that interpolates the data f (0) = 0, f (1)...
Solution.The Fibonacci numbers are defined by the recurrence relation is defined F1 = 1, F2 =...
Find the mass and center of mass of the lamina with density p=k(x2+y2) Bounded by the...
Given that y1 = t, y2 = t 2 are solutions to the homogeneous version of...
Let A equal the 2x2 matrix: [1 -2] [2 -1] and let T=LA R2->R2. (Notice that...
Prove the following statement: Suppose that (a, b),(c, d),(m, n),(pq,) ∈ S. If (a, b) ∼...
Solve the following second-order equation applying variation of parameters method: y'' + 4y' + 4y =...
True/False, explain: 1. If G is a finite group and G28, then there is a subgroup...
Evaluate the surface integral ∫∫S F · dS for the given vector field F and the...
For each employee, first calculate gross pay. Then determine taxable income used to calculate federal income...
Find an example that proves that a set of 3x3 matrices with integer entries do not...
Let S = {v1, v2, v3, v4} be a given basis of R ^4 . Suppose...
Let A be a given (3 × 3) matrix, and consider the equation Ax = c,...
Using the definition of convergence of a sequence, prove that the sequence converges to the proposed...
How many nonnegative integer solutions are there to x1 + x2 + . . . +...
Solve using reduction of order or variation of parameters 4x2y” + 4xy’ + (4x2 – 1)y...
Ray Flagg took out a 60-month fixed installment loan of $12,000 to open a new pet...
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