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A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining parts.
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A: Given that be the vector space of all polynomials of degree or less.Let be the subspace spanned…
Q: 4. (i) Show that 2 is a primitive root mod 112 = 121. Hint: Use the criterion given by Lemma 6.4 and…
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Q: 3. Suppose that p and q are odd primes. Show that pq is a pseudoprime base 2 if and only if ord,…
A: We shall be using the fact that a^p-1 =1 mod p
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Q: Use Green's theorem for circulation to evaluate the line integral 17. dr. F. 7 = ((xy² + 9x), (2x +…
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A: A matrix reduces to .Find a basis for .
Q: can this please be written on paper pleaseee
A: To write the answer on paper.
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Q: Consider the following initial value problem: y" +9y = sint - U2(t) sin(t - 2π); y(0) = 0, y'(0) =…
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Q: (a) 1·1! +2·2! + . . . + n •n! = (n + 1)! − 1 - (b) if n > 6, then 3″ <n!
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Q: Let A = {1, 3, 5, 6, 7, 9, 10, 12} and B = {1, 2, 3, 5, 7, 8, 9, 11, 12}. Consider the following…
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Q: 4. Consider the binomial (a + b)^n and calculate what is asked below. a) Use De Moivre's theorem to…
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Q: need to derive the laplace transforms. Using L {[= (6) } = s e-v² F(t) at dt Above instructions.…
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Q: Evaluate CnxP q 1 n = 4, x=2, p=2 for the values of n, x, and p given below.
A: Given, for the value of n, x and p i.e. To find the value of
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Q: -10000) Say for what values of a and b the set A is a basis of R4 Consider the set
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Q: 2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(q)…
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Q: 5) Given T:RR defined by T(x)=x+1 Determine if it is a linear transformation.
A: For given transformation, T(x) = x+1 We have to find whether it is linear transformation or not.
Q: 2. Let V₁ a. 14 -2' b. V₂ = " 16 10 spanned by B. Note that B is an orthogonal set. -49- 35 7 -28_…
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Q: Let f: R² R be defined by f((x, y)) = 4x - 8y + 4. Is f a linear transformation? a. f((x1, y₁) +…
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Q: Find the value of the triple integral for the function h(x, y, z) = x² + y² + z² over the region R…
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Q: 3 Does the graph of f(x)=x² open up or down? O up down Is the graph of f(x) = - 3 x² wider,…
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Q: + -1 TT T + T -1 4 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P¹AP using the…
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