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the following question is for maths modeling consider the value of savings account initially worth R2500...
Let U={1,2, 3, ...,3200}. Let S be the subset of the numbers in U that are...
Let x,y,zx,y,z be (non-zero) vectors and suppose w=10x+10y−4zw=10x+10y−4z. If z=2x+2yz=2x+2y, then w=w= x+x+ yy. Using the calculation...
Find the particular solution to y''−4y'+3y=2ety′′-4y′+3y=2e^t
For any prime number p use Lagrange's theorem to show that every group of order p...
A physics lab purchases new equipment for $390,000 in the year 2018. The value depreciates over...
Twin primes are two primes that differ by two for example 3 and 5 are twin...
19. Solve the initial value problem and determine where the solution attains its maximum value. Please...
A) Find the solution of the given initial value problem in explicit form. B) Determine the...
a basket holds 26 cards, and each card has a letter of the alphabet on it....
Show/Prove that every invertible square (2x2) matrix is a product of at most four elementary matrices
Can you have a homomorphism from S3 to the group G' with 35 element?
Explain that the equation sin(xy) = y defines y as function of x around the point...
Is it true that for any bounded sequences (sn) and (tn), limsup(sn +tn)=limsupsn +limsuptn ? If...
1.) Which of the following is TRUE about a parallel coordinate plot? Check all that apply....
Proceed as in Example 3 of Section 4.8 to find a solution of the given initial-value...
Let F be a subfield of a field K satisfying the condition that the dimension of...
Describe the benefits and reasons for using each type of graph. a) Lineweaver Burk b) Eadie...
Alice and Bob have 9 coins, each with probability of a head equal to p =...
Part IV: All of the following arguments are VALID. Prove the validity of each using NATURAL...
If p(x) is a complex polynomial with real coefficients, it is well known that it can...
A small country is preparing for its anniversary, and a politician wants 2900 busts of the...
1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always...
h of t equals, negative 16, t squared, plus 48, t, plus 72 If air resistance...
Show that U = {T : R2 → R2: T is linear and is NOT injective.}...
Suppose that P : V → V is a linear map such that P2 = P....
The landlord's favorite place to buy shrimp in New Orleans was the Cajun Seafood market on...
please set up the polynomial function (if any) and solve the following: Suppose you owe $800...
7.5. Prove the following:(a) lim n→∞ an = a = ⇒ lim n→∞ |an|=|a|. (b) limn→∞an=0...
For each delivery of component parts, a firm has an ordering cost of $400 per shipment....
The following are solutions to homogeneous linear differential equations. Obtain the corresponding differential equation with real,...
(8 marks) Let S = {(a1, a2, . . . , an)| n ≥ 1, ai...
A plant can manufacture 50 golf clubs per day at a total daily cost of $5351...
a) Find f(x) is f(x) is differentiable everywhere and f'(x)= { 2x+8, x<2 3x2, x>2 given...
A typical glass of wine contains about 1 grams of alcohol. Consider a 118-pound woman, with...
Determine the number of ordered pairs (A, B), where A ⊆ B ⊆ {1, 2, ....
Give the indirect proofs of: p→q,¬r→¬q,¬r⇒¬p.p→q,¬r→¬q,¬r⇒¬p. p→¬q,¬r→q,p⇒r.p→¬q,¬r→q,p⇒r. a∨b,c∧d,a→¬c⇒b.
Give direct and indirect proofs of: (a) a → b, c → b, d → (a...
In a recent survey, it was shown that 8people own a cat, 5people own a dog,...
Prove by induction that 3^n ≥ 5n+10 for all n ≥ 3. I get past the...
Aproximate numerically the value of the integral using Gaussian quadrature. f(x)=5x^3+3x^2 on the interval [1,3] when...
Calculate (4144,7696)
The height of a baseball (in feet) at time t (in seconds) is given by y=...
Consider the following quadratic equations in 2 variables. Write the equations in standard form.Find the centers...
Let A and B be groups. Prove that A x B is congruent to B x...
Find the Laplace transform of: (t^3 - 3t +2)e^(-2t)
Prove n3+5n is divisible by 6 for all n using the PMI.
Question 4. f(t)=2t^3+2 What is the approximate area under the graph of f(t) on the interval...
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of...
please give a matlab code with comment In a wind tunnel experiment, the force on a...
Use Newtons method to determine the largest zero of f(x) = 1.37x+3.75sin(1.21x)−2.97, accurate to three decimal...
In how many ways can you distribute 10 different balls into 4 different boxes, so there's...
Let A,BA,B, and CC be sets such that |A|=11|A|=11, |B|=7|B|=7 and |C|=10|C|=10. For each element (x,y)∈A×A(x,y)∈A×A,...
1. a) Sketch the surface. 9x2 + 4y2 + z2 = 36. Identify the surface. b)...
How many Sylow 3-subgroups and Sylow-5subgroups may there be in a Group of order 675
Solve the following: (3x^2 - y^2)dx + (xy - x^3y^-1)dy = 0
Consider a quadrilateral ABCD such that ∠BAD and ∠ADC are perpendicular, the rays AB and CD...
The trace of a square n×nn×n matrix A=(aij)A=(aij) is the sum a11+a22+⋯+anna11+a22+⋯+ann of the entries on...
A circle has a center locates at point (4, 7, 5) and it is within the...
Find all elements of order 2 in the dihedral group Dn where n ∈ Z≥3
Let S = {(a1,a2,...,an)|n ≥ 1,ai ∈ Z≥0 for i = 1,2,...,n,an ̸= 0}. So S...
With regard to multi variable calculus can some explain Greens Theorem in detail. Thank you. Provide...
suppose that f is riemann integrable on [a,b] and f(x) >=0 for all x a) prove...
With regard to multi variable calculus can some explain Strokes Theorem in detail. Thank you. Provide...
Consider the graph y = |x| in = R^ 2 . In which of the following...
Consider function f (n) = 3n^2 + 9n + 554. Prove f(n) = O(n^2) Prove that...
In a group of 100 politicians, 40 are in Party I and 60 are in Party...
Let a be an inverse of a (mod m) a) Explain what does it mean for...
Find the relative error of approximation of f '(1.1) by the Left End 5-point formula with...
2.If a liquid medicine is to be taken two times daily, and if 270 mL are...
suppose n greater than or equal to 2. Prove that Sn is generated by each of...
a solution of the complimentary equation of Xy' + y = x^4y^4, y(1) = 1/2
show that the sequence sin(n+2)/n is Cauchy
❑A furniture Company produces tables and chairs. Each table takes four hours of labor from the...
In a group G, express (abcd)-1 in terms of a-1, b-1, c-1, and d-1.
1. Write a proof for all non-zero integers x and y, if there exist integers n...
Prove that if p is prime then Zp, where it is nonzero, is a group under...
A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt...
Prove that if a is an integer, then 3 | (a^3 - a).
. Consider the statement ∃n ∈ N (n 2 + n ^3 = 100). Is this...
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