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Advanced-Math Questions
If for the first 29 days of a month between 10 and 16 people ride a...
Finding the Cross Product In Exercises 7–14, find (a) u × v, (b) v × u,...
The year 1901 started with a Tuesday. What day of the week will day 166 of...
Consider the equation: x'=x^3-3x^2+2x sketch the phase line. solve the equation and sketch the graphs of...
Solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: Solve the...
To form a linear combination of two things, you multiply each by a constant and then...
We have the Problem: utt-c2uxx=0,x>=0,t>=0 u(x,0)=g(x),x>=0 ut(x,0)=h(x),x>=0 ut(0,t)=αux(0,t),t>=0 u(x,t)=?
Consider Theorem 3.25: Theorem 3.25. Let f : A → B, let S, T ⊆ A,...
Given an ellipse with a major axis length of 16 and a minor axis length of...
Write down in standard complex form a + ib all the primitive 6th roots of unity.
Check the dierentiability of each of the functions below at x0 = 0. (a) f(x) =...
Prove, by finding constants that satisfy the definition of order of magnitude, that f=theta(g) if f(x)=(3x^3)-7x...
Find all integer numbers x solving the congruence 6x + 1 ≡ 4(mod 15).
A bag of coins contains six types of coins: pennies, nickels, dimes, quarters, half dollars, and...
Donald's accountant told him that if he continues to pay $55 a month on his credit...
For each of the following, give an example of a function g and a function f...
In Z, let I=〈3〉and J=〈18〉. Show that the group I/J is isomorphic to the group Z6...
Prove that if F is a field and K = FG for a finite group G...
(a) Find the unit vectors that are parallel to the tangent line to the curve y...
Determine whether the given statement is true or false. Explain your answer. (a) If R is...
Make up two functions f 1 and f2 that have the same Laplace transform. Do not think...
If A is a 5 by 5 matrix, how many different choices of S (change of...
Using the inclusion-exclusion method, what is the number of functions f from the set {1,2,...,n} to...
For z=x2-xy2 find: a. the gradient of Z b. the directional derivative in direction of <3,1>...
Let G be a finitely generated group, and let H be normal subgroup of G. Prove...
Prove or disprove: there is an inner product on R2 such that the associated norm is...
Convert to cylindrical coordinates.
Using the D-operator Method, get complete specific solutions, including the constants of integration, for the following...
Let f : A → B, and let V ⊆ B. (a) Prove that V ⊇...
A solid Tetrahedron has vertices (0, 0, 0), (2, 0, 0), (0, 4, 0), and (0,...
An oil company operates two refineries in a certain city. Refinery I has an output of...
Can an ideal of some polynomial ring be a reducible polynomial? For example, could an ideal...
Show that the commutator subgroup of GL (n,F) is SL(n ,F).
show 1/(x^1/2) is not uniformly continuous on the interval (0,1).
Let f(x)=(x^2)/(x-2) Find the following a) Domain of f b) Intercepts (approximate to the nearest thousandth)...
Find the total value TV of the given income stream and also find its future value...
Solve the differential equation: dy/dx = sin(x - y).
Solve the given differential equation by undetermined coefficients. y'' + y' − 20y = 2x
Solve the given differential equation by undetermined coefficients. 4y'' − 4y' − 35y = cos(2x)
Show how to approximate the required work by a Reimann sum. Then express the work as...
Let f be a function which maps from the quaternion group, Q, to itself by f...
You can afford a 1500 per month morgage payment. You've found a 30 year loan at...
Solve the following set of equations graphically: X=-Y-4 Y=-5X-4 Select one: a. None of Them b....
Use the truth-tree decision procedure (relying on Proof Tools or pen/pencil and paper) to determine whether...
Elgamal Cryptosystem In the Elgamal cryptosystem, Alice and Bob use p = 17 and g =...
Let R be a ring. Define a group structure on {(a,b) ∈ R^2: a^2+b^2=1}
Archimedes’s trammel is sometimes also called an “ellipsograph” because it can be used to draw ellipses....
example of a 1 tsil test
Evaluate the surface integral S F · dS for the given vector field F and...
A company is considering expanding their production capabilities with a new machine that costs $43,000 and...
Eight boys and nine girls sit in a row of 17 seats. (a) How many different...
Let T:V→W be a linear transformation and U be a subspace of V. Let T(U)T(U) denote...
Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y''...
Describe, in vector form, the set of all solutions of the following linear system 2x −...
1. Find the general solution to the differential equation y''+ xy' + x^2 y = 0...
suppose f is an integral element function on [0,1], p and q are partitions of [0,1]....
6. Let G = S5 the group of bijective maps on Ω5 = {1,2,3,4,5}. Let H...
a) Show that √2 ∈ Q(√2 + √7) b) Find the degree of the extension Q...
Given the binomial 7 + 6i, factor it into a product of primes from ring Z[i]....
let T:P2→P4 be a linear transformation defined by T(a+bx+cx2)=2bx−cx2−cx4. (a) Find ker(T) and give a basis...
Apply Euler’s method in the interval [0,1] with the step size of 0.2 to solve numerically...
Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are...
If G is some group where φ : G → G is some function given by...
Solve the IVP: , y(0)=3. 2) Solve the DE: . y' = xy^2/ (x^2 +1)
Rubber and Steel Company is planning to manufacture a new product. The variable manufacturing costs will...
Prove that if n is an integer and 3 is a factor of n 2 ,...
Find the general solution to the ODE y2 -10y+21=dy/dx
A vertical dam has a semicircular gate. The gate has diameter 4 meters, is the top...
In your bid to be elected class representative, you have your election committee survey five randomly...
1. Let D={1212,1515,1717}, E={1212,1414,1515,1616} and F={1111,1313,1414,1515,1717}. List the elements in the set (D∪E)∩F. (D∪E)∩F= 2. Let...
The solid is a triangular column with a slanted top. The base is the triangle in...
Determine conditions on a, b and c so that the following system has solutions: 2x +...
Prove this statement. Z[i] is the Gaussian integers: Let α ∈ Z[i]. Then α is a...
the negation of the statement. some student will get an A on this test
Consider the linearly independent set of vectors B= (-1+2x+3x^2+4x^3+5x^4, 1-2x+3x^2+4x^3+5x^4, 1+2x-3x^2+4x^3+5x^4, 1+2x+3x^2-4x^3+5x^4, 1+2x+3x^3+4x^3-5x^4) in P4(R), does...
b) The probability that a manager reads the Daily Telegraph is 0.7. The probability that she...
Using the definition (must show the calculation) prove that the Laplace transform of e^t t is...
The two components of a linear system response are zero-input response and zero-state response. Explain the...
Show that the product of two n × n unitary matrices is unitary. Is the same...
A climber on Mount Everest is 6000 meters from the start of his trail and at...
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