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Consider the following numbers 3, 6, 9, 12, . . . , 75. Show that if...
For the given quadric surface, describe the effect that changing the valie of a, b,c has...
1. Prove that an integer a is divisible by 5 if and only if a2 is...
determine conditions on integers a and b for which ab is even. then prove that the...
Determine specificity of fuzzy set A whose membership function is expressed in the form A(x) =...
Find the Shapley-Shubik power distribution of each of the following weighted voting systems. [10:10,5,3,1] [11:10,5,3,1] [15:10,5,3,1]
List the first five terms of the sequence. Start with 1 as the index of the...
Determine the entropy of a source with probabilities 2/3，2/9，2/27，2/81，2/243，1/243
Prove that if a > b then gcd(a, b) = gcd(b, a mod b).
The smallest positive solution of the congruence ax ≡ 0( mod n) is called the additive...
5- What three aspects of the visual arts relate directly to mathematics?
(For this part, view Z as a subset of R.) Let A be a non-empty subset...
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. 4.4.22 x''(t)...
Find all integers n (positive, negative, or zero) so that (n^2)+1 is divisible by n+1. ANS:...
Cook Security Systems has a $37,500 line of credit, which charges an annual percentage rate of...
Find necessary and sufficient conditions for A to be the complement of a compact set.
Find necessary and sufficient conditions for A to be the complement of a compact set.
Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle...
Let ? be an ?×? matrix, and consider the equation ??⃗ = 0⃗. Show that for...
2. Determine whether the following pairs of vector spaces are isomorphic. If so, give an explicit...
Given the components of the vectors, A, B, and C Ax = 5 Bx=4 Cx =10...
Consider the following sequence: 0, 6, 9, 9, 15, 24, . . .. Let the first...
Gravely Gears (GG) makes gears using an automated machine costs $12,000 and has a 25% probability...
Find the greatest common divisor of the given polynomials over the given field. Then write the...
Answer each of the questions below. (a) Find an equation for the tangent line to the...
Let A and B be sets. Prove that (A∪B)\(A∩B) = (A\B)∪(B\A)
Problem B: Consider a graph G with 20 vertices, that has an Euler cycle. Prove that...
The distribution function ? of a random variable ? is given by ?(?) = { 0,...
Define a sequence (xn)n≥1 recursively by x1 = 1, x2 = 2, and xn = ((xn−1)+(xn−2))/...
Prove that for every natural number m, it holds 2*m + 1 ≤ 3^m. .
there are three brands you can choose; H&M, Banana, and Zara. H&M and Banana clothes cost...
find the maclaurin series: g(x) = x/(3-x)^3
A company supplies fertilizers to its customers on a make-to-order basis by blending appropriate amounts of...
G is a complete bipartite graph on 7 vertices. G is planar, and it has an...
True or false and explain why? A system of 2 equations in 3 unknown has infinitely...
1. Rabbits are sawing a log. They made 10 cuts. How many blocks of wood did...
Prove that limz->∞ f(z) = ∞ if and only if limz->0 1/ (f(1/z)) = 0.
Find all solutions to the following equations: (a) z^6 = 1 (b) z^4 = −16 (c)...
Suppose you need to $5,000 as the down payment on a car. If you have an...
S = {<3, -2, 1, -4>, <2, 1, -2, -2>, <0, -7, 8, -2>} Determine whether...
Are the following statement True or False? Justify your answers (a) Euclid's development of geometry is...
In every problem but the last one, you must use the successor function (s) and/or the...
State whether the statement is true or false. Also,please give a simple and clear explanation. A....
In every problem but the last one, you must use the successor function (s) and/or the...
when cylinder x^2+y^2=1, y^2+z^1=1 and x^2+z^1=1 intercept with each other, set up a triple integral to...
find the appropriate series solution about the point x0=1 for y''-xy'-y=0
n digit string of length n over alphabet {0,1, . . . ,9} a. How many...
n digit string of length n over alphabet {0,1, . . . ,9} How many n...
Can you explain how proof by induction works and give an example?
1-solve for x and y 3x+(y-2)i=(5-2x)+(3y-8)i 2-solve for z and write the answer with standard form...
The Fibonacci sequence is defined as follows F0 = 0 and F1 = 1 with Fn...
Consider the problem of summing n numbers by adding together various pairs of numbers and/or partial...
Suppose that you have an alphabet of 26 letters: (a) How many possible simple substitution ciphers...
Bob has invented a game with paper cups. He lines up 121 cups face down in...
Use the Euclidean Algorithm to find the smallest nonnegative integer x, s.t. there exists integers k_1,...
if you are given a finite set V and a nonnegative integer for each element in...
(4.5*(3+2h)^(1/3) - 4.5*(3)^(1/3))/h, as h tends to 0 please simplify this
NOTE- If it is true, you need to prove it and If it is false, give...
Suppose a cup of coffee is at 100 degrees Celsius at time t=0, it is at...
a mass-spring system is driven by a constant external 16. the mall equals 1, the spring...
Calculate the partial derivatives ∂U/∂T and ∂T/∂U using implicit differentiation of (TU−V)2ln(W−UV)=ln(5) at (T,U,V,W)=(4,1,5,10).
on feburary 1st Spencer took out a loan for $3,700 at 3.5% annual interest. the loan...
If {sn} is a sequence of positive numbers converging to a positive number L, show that...
find the solutions to z^2 =3-4i
Find the smallest positive integer n for which n2 + n + 17 is composite.
Prove that if A is a subset of X, then a) A ∩ (X − A)...
Find the Laplace transform of f(t)=sinh(at) f(t)=u(sub2)(t)t+1) f(t)=t^2δ(t-3)
Formal Proof: Let p be a prime and let a be an integer. Assume p ∤...
true/false : if a system of linear equations has a 3x5 augmented matrix whose fifth column...
A person has borrowed certain amount (say, X) with interest rate r and has to pay...
The table gives heavy – metal nuclear waste (in thousands of metric tons) from spent reactor...
Solve for y(t) for y'+2/(120+3t)y=15 when y(0)=0
It can be proved that the union of two subspaces of a vector space is a...
A grocery store is running a promotion that you will get one card from 6 different...
If X and Y are discrete topological spaces, how do I prove X x Y is...
Let G be a simple planar graph with fewer than 12 vertices. a) Prove that m...
Suppose that, in some vector space V , a vector u ∈V has the property that...
(caculus 3 Find the distance from the point P ( 5, 0, 6 ) to the...
Let P(z)=A(z-z_0)(z-z_1). Show that P'(z)/P(z)=1/(z-z_0)+1/(z-z_1)
Match each equation with its name. (calculus 3) (x/7)^2-(y/9)^2=z/4 (x/7)^2-y/9+(z/4)^2=0 −x/7+(y/9)^2+(z/4)^2=0 (x/7)^2+(y/9)^2=(z/4)^2 (x/7)^2+(y/7)^2+(z/7)^2=1 Hyperbolic paraboloid Elliptic...
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