Give an odd prime p congruent to ±1 modulo 12. Show that (3) = 1.

Q: DAWN

A: 2. Use the encoding formula y = x+15(mod26) 1. Encode DAWN Conversion of numerical value between 0…

Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…

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Q: A natural number n is even if n = 2k for some kw. If n = 2 i + 1 for some i Ew, then n is odd. Prove…

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Q: Answer the following questions about the functions whose derivatives in questions 91-93: (a) What…

A: f'(x)=x-1/2(x-3)

Q: Find the volume V of the solid E enclosed by z=9-y², z = 36-x, x = 0, and z = 0. (Give an exact…

A: We have to find the volume of the solid E enclosed by z=9- y2, z= 36 - x , x=0, and z=0

Q: Baker's Plaza has two ovens. Oven 1 can produce 3,000 asado pandesal, 2,000 chocolate rolls, and 300…

A: Note: We are entitled to solve the question only by one method. So we are solving the question by…

Q: 1 Given the vector field F=rcos$ ar+- 2 cos 0 4 r cos + 1-2 None of the choices 2 cos o r 2 cos o…

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Q: Marloa and Jay recently time studied a janitorial task. From a sample of 75 observations, they…

A: Solution: The formula for number of samples required:- N= z×σ( h× x2 In the above formula h=desired…

Q: Question 5. Given a metric spaceX,p> (c) True or false? Justify your answer. If (n)neN is a bounded…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 4. Find the rank of the given matrix below using echelon form. 1 2 4 3 2 5 -6 10 -2 -7 3 21 8 15 12…

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Q: The bisection method is applied to compute a zero for the function x^5-x^4-x^3-x^2=4 in the interval…

A: Given, the function                x5-x4-x3-x2=4;         1, 17

Q: 3. Solve for the Z-Transforms and ROCs of: x[n] = [6, -2,2,0,0,4, -3]

A: We have to solve the given problem.

Q: Use the square root property to determine all real solutions for each of the following equations.…

A: part-1 part-2

Q: Find the generalized union and intersection: 1. A = {1,2,3,...} 2+1 Q-(무)

A: Let us find the generalized union and intersection of the given indexed set in the next step.

Q: Example 8.28. Apply Simpson's rule to evaluate the integral p26_p4# dxdy 1=5₂8 5²4 I xy

A: To evaluate the integral I=∫22.6∫44.4dxdyxy using Simpson's rule.

Q: T 22 1+ ] 3 32 +ㅗ +1 + 42 + S2 1 ㅈ 6 = ? 2

A: You will find Solution  in next step

Q: Set-up the iterated double integral in polar coordinates that gives the volume of the solid bounded…

A: The given problem is to set up an double integral in polar coordinates that gives the volume of…

Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: At time t≥ 0, the velocity of a body moving along the horizontal s-axis is v= t² - 4t + 3. (a) Find…

A: given at t≥0 the  velocity of the body moving along horizontal s-axis is v=t2-4t+3

Q: 5: Let R=(Z,+, .). Find Chan Idempotent element of R e) Is R a field? Why? c) Nilpotent elements of…

A: We have to find the nilpotent and idempotentent element of R.

Q: ent purposes, you choose to have a jelly y beans in the machine. When a custom

A: Total n umber of Jelly beans = 520 Number of jelly beans released when a coin is inserted = 9

Q: Q/Prove disprove or i) There is a simple group of order 2021.

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Q: Recall from Student Exercise 1.4.8 that cos 8 ² ( ²53 ) = 1/²/ ( √ √² + √²) (√₂ 70 Written…

A: It is required to prove the given equation by mathematical induction.

Q: Consider the following vector fields: F = (3x² e²y, 2x³e²y + 2 cos y sin y) and G= (y+z, x+y, z —…

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Q: Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), Ģ(1) = (2,1,3), G'(1) = (-1, -2, 4),…

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Q: A curved lamina is in the shape of the surface defined by R(u, v) = (u cos v, u + v, u sin v), where…

A: First we find the elementary surface area ds. ds=| Ru X Rv | dudv

Q: - 2019 are as follo

A: Given as, Income Scales (TRY) Rate (%) Up to 14,800 15 14,801 - 34,000 20…

Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

A: Given that  The objects vertical position, measured in feet after t seconds is given by h(t)  To…

Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: 2. y = ln(x²-1), 2 ≤ x ≤ 3 ;y-axis

A: The given problem is to find the area of surface of the revolution of the given curve over the given…

Q: You just opened your store and for entertainment purposes, you choose to have a jelly bean machine.…

A: Total n umber of Jelly beans = 520 Number of jelly beans released when a coin is inserted = 9…

Q: Can

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Q: Suppose Cn is a segn of real numbers such that lim 1c₂1h exists and is non-zero. If the ROC h-00 of…

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Q: 2. (a) Find the unique polynomial of degree 2 or less such that f(0) = 1, f(1) =3, f(3) = 55 using…

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Q: (b) Given two metric spaces X,p>, and a function f : X→ Y that is uniformly continuous on SC X. If…

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Q: (a) Given a continuous function f RR and a connected subset SER, is f-¹(S) connected? Justify your…

A: Let us define function f : R ---> R by f(x) = x2 Clearly f(x) is continuous  We know that, The…

Q: Evaluate L{3e−2(1−t)+t3e2t+2t2sinh(2t)−4e−2tcos(π−3t)}

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Q: Solve y" (t) + 2y' (t) + 2y (t) = H (t); y (0) = 1 ; y' (0) = 0 where H(t) = 2t + 3,0 < t < 1 H(t) =…

A: *This problem is too lengthy.That's why I have used partial decomposition calculator to find partial…

Q: A telephone company can issue telephone numbers consisting a 10-digit calling number. The 5-digit…

A: The telephone number consists of area code and calling number       --           The area code must…

Q: Find one particular solution to the following second-order forced equation d²y dy +8 + 15y = 5…

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Q: Find the sum of 73 75 + [ 2ㅈ 11.3 13.5 ㅈㄱ 15.7 + + (-1) 7- 2n+1 12n-1 (2n+1)

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Q: Prove or disprove: All uncountable measurable subsets of ℝ have positive measure.

A: All uncountable measurable subsets of ℝ have positive measure.

Q: $0.5 Josh (sin x) d dx using Romberg's method, correct 30 Example 8.20. Evaluate the integral to 3…

A: Solution :-

Q: dx 1 + x method. Hence find the value of log 2. Example 8.18. Evaluate f . correct to three decimal…

A: Problem can be solved using Romberg's Method.

Q: (a) (i) Q8 (b) char(Z₂ × Z7X Z₁4) = 14 (c) Z₂ × Z7 × Z12 = Z14 × Z12

A: a) TRUE b) TRUE c) TRUE

Q: For the following exercises, lines L₁ and L₂ are given. a. Verify whether lines L₁ and L2 are…

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Q: -4 8 1) S contains only the vectors -EGGIO -2 2 The new linearly independent set with the same span…

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Q: Identify which of the following are monotone sequences. For monotone sequences, identify whether it…

A: We can solve this using given information We can solve this using definition of sequence and limit

Q: Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5…

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