Determine the cardinality of each of the given sets: a) The set T of counting numbers that are multiples of 13 b) The set S of counting numbers that are multiples of 6 Are the pair of sets equivalent or not?

Q: tind the remainng parts e of spherical trinngles the 95 09' 7", c> 79'18'29", C: 90°

A: Consider the given spherical triangle, It is given that a=95°09'17''c=79°18'29''C=90°

Q: 3. Insert four geometric means between 4 and 972. 4. Insert three geometric means between 2 and 162.

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Q: = 0.11(1 – I) – 0.03I; I € (-0.1,1.1); I(0) = 0.2; I(0) = 0.9 dt dR R - 0.1R; R E (-0.1, 10); R(0) =…

A: 4) a)dIdt=0.1I(1-I)-0.03I; I∈(-0.1,1.1); I(0)=0.2; I(0)=0.9 ⇒dIdt=-0.1I2+0.07I=-0.1I(I-0.7);…

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Q: solue for one eigenvector d) Write the eigenvector as a sum of 2 vectors (e red parttcmeginery part)…

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Q: 2. In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are…

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Q: Q Show that Z12/17) is a quatient ring.

A: We have to show that ,   ℤ12(4¯)  is a quotient ring.

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Q: 9. Emily spent two thirds of her money. Then she lost two thirds of the money that was left. Four…

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Q: dy if Find dx (3x2 + 6х — ух)(5х + 2 y + 10). DO NOT SIMPLIFY.

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A: Let us determine the real root of the given equation using Bisection method in the next steps.

Q: One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: Given that one pipe can fill a swimming pool in 10 hours and the another pipe can empty the pool in…

Q: * نقطة واحد The value X1 .1 -2 x1 + 6 x2 + x3 = 9 - x1 + x2 + 7 x3 = -6 4X1 — Х2 — Хз %3D 3 إجابتك

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Q: 4. Graph one complete cycle. Label everything! ! Fill in all the blanks. y = -1- 3csc( + Domain:…

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Q: 7. If in an inner product space, (x, u) =(x, v) for all x, show that u = v.

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Q: V25x² – 4 dx 8.

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Q: 14. Use the Gram-Schmidt process to transform the basis for the Euclidean space R" into an…

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Q: 1. In the Diffie-Hellman key exchange protocol, Alice and Bob choose a large prime p and a primitive…

A: Solution:   Since g is a primitive root for prime p.Then g is a generation of the multiplicative…

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Q: use an integrating factor to solve the given differential equation dy 2 2 + Зx у — х dx

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Q: Part 2. Use the integration techniques to solve for the antl-denV 1. 3p? tan p dp Integration by…

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Q: 10. Sarah went to a store, spent half of her money, and then spent $10 more. She went to a second…

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Q: For the yellow region, calculate the following using THREE positive shapes and TWO negative shapes:…

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Q: 2. Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x + n IN

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Q: Find all the second order partial derivatives of the given function. f(x,y) =xy? + ye * + 5 O A. 2f…

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Q: (c) It's not true that time travel is possible. For if I travel back in time and kill my…

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Q: Closure: 1. Write an equation that can be used to model the graph shown below: 10 Tee

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Q: 3. Express (j-3)° in rectangular form. 4. Express (-2/3 + j2) in rectangular form. (j4 +43)(2cjs…

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Q: Show that rejst =rcjs(-0)

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Q: Evaluate the given line integral. | (y, -x)-dR, where C consists of 4y = x² from (–2, 1) to (2, 1)…

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: dy dz x2 +

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Q: 13. An observer stands 700 ft away from a launch pad to observe a rocket launch. The rocket blasts…

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Q: Given f(x) = |x| for x € [-n,1]| Show that cos(2n – 1)x |x| 2 \xl = -- - (2n – 1)2 n=1 2.

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Q: Consider the lines 3 - z x – 5 l1 : 2 and I. Find two unit vectors that are parallel to l1.

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Q: Solve (5æ?y? – æy? + 17y?) dæ (x³y+ 2x?y + 9xy+ 18y) dy = 0

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Q: find 2g Ce

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Q: Consider the following sets: U= {set of integers} A = {3, 6, 9, 12, 15, 18} C= {3, 6, 9, 12} E ={3,…

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Q: Calculate t. [35 t+ 6 C 10 12 B O 25 O 26 O 30 O 28 O 27 O 29

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Q: B. Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4%sec?x

A: