Problem 6. Find all positive primes p such that n = 1001p satisfies that a" = a mod n for all a.

Q: =At iteration i=3, b .2 f (x) = x³ – x – 2

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Q: This problem is related to core exercise 31 (module 5) in the textbook, and reguires you to do some…

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Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote oo and MINF…

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Q: Use Fermat's Little Theorem to find each value. Remember, x-1) =1 (mod p). Write your answer in…

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Q: 4n +1 5.

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Q: A house and lot with the original price of ₱2,300,000 was sold at a discount price of ₱2,150,000.…

A: The formula to calculate the discount rate is Discount %=discountoriginal price×100%.

Q: Consider such a definition average distance, which is the average distance over all pairs of nodes…

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Q: Find the general solution of the differential equation y" +2y-35y = -113t + 70t. NOTE: Uset as the…

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Q: Suppose A and B are non-empty bounded subsets of positive real numbers. Define A·B = {r •y:x € A, y…

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Q: Use Gauss-Jordan Elimination to solve tl and the Gauss-Jordan Matrix (or Row Red ary of answers. 3x…

A: This is a problem of linear transformation.

Q: Yumi wants to buy a volleyball. Its original price is ₱965 and is on sale at 25% discount. How much…

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Q: 7. Find the inverse of the following linear transformation: [3x + 2y] 5x +3yl

A: 7 Given linear transformation is Txy=3x+2y5x+3y

Q: Graph the inequality on a plane. X+ys3

A: Graph in xy-plane

Q: f(t) = sinh? 4t cosh 4t 32s А. (s2-144)(s2-16) C. 4(s2 -144)(s2 -16) s3-4s? +560 В. (s2-144)(s2-16)…

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Q: Consider the triangle shown in the figure below. a. Find the equation of the straight edge OA. b.…

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Q: S. y dk t x dly luhere L=

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Q: what Is the conjugate of Js -J2i ? a. Jo -Joi d. -i b.Ja -ぶ

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Q: Given y1 (t) = t° and y2(t) = t¯1 satisfy the corresponding homogeneous equation of t°y'" – 2y = - t…

A: The solution is below.

Q: 3. Decrypt the letters XMMIFZXQFLKP if it was encrypted using an alphabetic Caesar shift cipher with…

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Q: Using the theorem on determinants, show that 1 a a2 A = 1 b b2 = (b – a)(c – a)(c - b) 11 - с с2

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Q: 5. Consider the vector space P2 along with the subspace, H= span {1+ 21°, 2, -f,1-f} Use coordinate…

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Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 -6 1 -2 -3…

A: Solution

Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: Determine if the given set of vectors is linearly independent. B = {|1 2 }

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Q: 12. The graph of f is shown below on the xy-plane. Explain why y = 0.8(x – 1) + 0.4(x – 1)² + 0.1(x…

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Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

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Q: .Expand log (1 + sin x) in powers of z as far as the term in r.

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Q: f(t) = cos² 3t %3D s2 +9 A. s(s2+36) s2 +18 C. s(s2+36) s2 +6 B. s(s2 +9) s2+18 D. s(s2 +9)

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Q: FALSE and give a counterexample and justify or explain briefly why this is such. (a) Let A and B be…

A: Here we use examples and theorems for sequences.

Q: Find all proper nontrivial subgroups of Z; x Z, × Z;. Find all subgroups of Z; x Z4 of order 4.

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Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: (За? + Зт?) da - 6атӑт —D 0 a-C = a² – m² aC = a² • 2 %3D Option 1 Option 2 С -а + т

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Q: [17] For each of the following equations, • find general solutions; solve the initial value problem…

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Q: Find a basis for the vector space of all 3 x 3 diagonal matrices. 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1…

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Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

Q: (i) Consider the graph of the function y= f (x) where f(x)=e* +e * +1. (a) Determine whether f(x) is…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: A parachutist of mass 52.4 kg jumps out of a stationary hot air balloon. Use the equation in photo…

A: Introduction: When an equation is given, we can determine the function value by putting different…

Q: . Use Taylor's series, to prove that Bin z tan (x+ h)3Dtan%4 (h sin z). sin 2z +(h sin zj?. sin 3z -…

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Q: Find two vectors that are orthogonal to the plane containing the points P = (4,-2,1) and R =…

A: We find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q =(4,-2,1)…

Q: Solve the following differential equation using Laplace transformation y′′ +4y′ +20y = (greek…

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Q: Consider the matrices A = and B = 0.5 -0.5|. -1 0.25 0.25) Is B the inverse of A? OTrue OFalse

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Q: a) If a| (21b−c) and 6c≅3b(mod2a), then a| 41c b) If a≅b(modc) and d|c then ?≅?(mod?) c) ∴(d|…

A: this is a question of modular arithmatic.

Q: Problem 5. Find all primes p such that 1+p: 2P is a perfect square.

A: We have to find all prime p such that 1 + p×2p is a perfect square.

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2…

A: The given problem is to solve the given linear programming problem using the simplex method with…

Q: la b c The value of bc a is: a b (a) abc(a+b+c) (b) a' +b' +c -3abc (c) -a'-b-c'+3abc (d) none of…

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Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

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Q: (1) Suppose a sequence a, converges. Then the series an converges, (H) Suppose that a,, s b, and we…

A: As per the company rule, we are supposed to solve the first three subparts of a problem. Here It is…

Q: 2. Given U = 7i – j+ k and W = -2î – 5j + 6k, compute a) Proj w V and b) Proj v W

A: To find  The projection of given vectors.

Q: Sketch the graphs of the following, inserting relevant values. 0 < x < 5 5 < x < 8 1 f (x) = {0 f(x+…

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Q: Express the following in polar form): (iii) (cos 300° + i sin 30"). 2 i) sin 60° + i cos 60° (ii)…

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