Problem 3. Solve the linear congruence 31x 57 (mod 61).

Q: Below are problems you have solved before. Cc 3. Given: mzB = 42° and MLACD = 7° %3D Prove: mza =…

A:

Q: Find the two smallest positive solutions of 5sin(5x)=3

A: 5sin(5x)=3 sin(5x)=.6 sin(5x)=sin36.87°

Q: Problem 5. Using the definitions for O and N, prove formally that a) n³+15n+2 is O(nª) b) 2n³ +25n…

A:

Q: Question Number 05 a) Solve the following linear congruences: i) 89x = 2(mod 232) ii) 34x = 7(mod…

A:

Q: If OA=10 cm and AB=12, what is RC

A: Given, OA=10 cm   and    AB=12   Radius  OR¯ ⊥ AB¯    We have to find the Length of RC.

Q: If : = 4 cis e, find the modulus and the argument of iz

A: Formula used: The modulus of the complex number z=x+iy is given by z=x2+y and its argument is…

Q: Question 8 If and then find 2 1-[-²3 -[] B= AxB 4

A:

Q: 4. Find solutions of the system of congruences x = 3 (mod 7), x = 1 (mod 5), x = 4 (mod 6). a) 964…

A: I have used chinese remainder theorem

Q: Solve the following linear DE's. 1. у" - 2у" — у' + 2у %3D0

A: Answer and explanation is given below

Q: Match the justification for each step. on S. CE- CD + DE 6-8+ (3x+ 7) 6x-15 + 3x 3x-15 x-5

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: If BC=6 and RC=2, what is OA?

A:

Q: The length of the cycle C5 is 5. True False

A:

Q: Problem 3: For each of the following linear congruences, either show that it has no solutions or…

A: We have a result  The linear congruence ax=b (mod m), where a is not congruent to 0(mod m), has a…

Q: ). Hence, solve for the system below 7x + 3y = 10 (mod 16) 2x + 5y = 9 (mod 16)

A:

Q: Sheet Q1:- Find the Cartesia ordinates for the follow TO 1:-(2,-,) 2:- (-1,- 3:- (2, )

A:

Q: Problem #17: 3 Carl says that 8 3>2 and 8>3 How would you help Carl? because

A: given problem carl says that  38>23 because  3>2  and 8>3 . how woluld you help car key…

Q: Suppose an = 4an – 1 + 6an – 2 a4 = 96, a5 = 430, and a6 = 2276. Find а1, а2, and аҙ. аз. a1 Preview…

A: Here, recurrence formula is, an=4an-1+6an-2-2an-3

Q: Question 3 * 美 Given BDC = 62 and DCA – 44 find BÁC %3D and ABD. D 62° 44° B. Add file

A: Theorem  Inscribed angles subtended on same side  by the same arc are always equal

Q: Solve the problem. 14) If u = -9i – 2j and v = -3i + 7j, find u V.

A: Let us consider two vectors u=ai+bj and v=ci+dj then u-v=(a-c)i + (b-d)j

Q: Number 4

A: Let three successive odd numbers are (2n+1), (2n+3) and (2n+5).In which smallest odd number is…

Q: Solve for u. 2u-11u+31 (4-7)- If there is more than one solution, separate themn with commas. U =…

A: This problem is related to quadratic equations and we solve this using root formula.

Q: Question 15 - of 25 Step 1 of 1 How many ways can Nick choose 2 pizza toppings from a menu of 7…

A: Here we want to find the number of ways 2 pizza topping  from menu of 7 topping.

Q: の|=4+- COSU u =TX ノ H.W ノ

A: Given that  y=u+1/cosu  u=πx and x=1/4

Q: 5) Solve the following quadratic congruence equations. d) 5x? + 12x + 11 = 0 mod 17

A:

Q: write out the first few lines of Pascal's triangle and then use it to expand (3x+2y)^4

A: To write: First few lines of pascals triangle and then use it to expand 3x+2y4. Calculation:…

Q: Find the solution to an = 5an-2 — 4а, 4 with ao 3, aj = 2, a2 =6, and az = 8. Find the solution to…

A:

Q: 1. 3. 4. 5. 6. 7. 8. 9. 10. 10. IA The button has holes 18 The button does not have holes----Go to 7…

A: From the following data , we have to find the buttons name.

Q: Question#4 - Expand using Distributive Law: a) -2(2x– 3) c) 3(4 – x) b) -4(-3 – 5x) d) -(3 – 2x)

A:

Q: . If AB = 5x + 1 cm, BC = 4x + 2, CD = 6x – 2, and AD = 5x – 1 cm, what value of x will make ABCD a…

A:

Q: Use your strategies to find BS: 12 T U 18 6. B

A: Find BS

Q: (6 cis 120°)(4 cis 30°) is eual to:

A:

Q: Algebraically Show the given equation 2-In(3) + +In(16) 36

A: Here ln is the natural log whose base is e ln(a)=loge(a)…

Q: Find all solution to the system of congruences. 2x = 10 (mod 11) х3 3 (тоd 13) х3 1 (тоd 15)

A:

Q: 4. у' 3D csc х +у сotx

A: Consider the provided differential equation, y'=cscx+ycotx Find the general solution of the…

Q: (26. Ax)= x//x² + 1

A:

Q: Problem 9. Determine whether cach of the following two statements is true or false. If a statement…

A:

Q: 15. If AB = 20 and CD = 12, find OE. %3D 16. If OA = 13 and EA = 1, find CD. %3D %3D

A: If the diameter is perpendicular to a chord in a circle, then the diameter will bisect the chord.…

Q: Solve the linear congruence 7а + 3у %3D 10 (тod16).

A: Consider the linear congruence 7x + 3y ≡ 10 mod 16.Since gcd (7, 3) = 1 we know at least one…

Q: show that the Neumann problem 2 2 in du - 2 an 2 on does not have a solution.

A: We will use greens theorem

Q: 19, Obtain the eight incongruent solutions of the linear congruence 3x + 4y = 5 (moi 84 ELEMENTARY…

A: To obtain the eight incongruent solutions of the linear congruence.

Q: bability is

A: Given Mean=6 minutes

Q: Problem 4. Does there exists a solution xE Z to the equation 3x2 + 11x = -23 mod 61?

A:

Q: If 41 and /2 are complementary, m/1-(5x + 15)° and m/2= (3x - 21)°, then m/2- %3D %3D

A: Here we are going to solve only question number 7 and for the remaining question post the question…

Q: Question 8 22x+ 3 K M 222° Question 9

A:

Q: 10. Find all solutions of the system of congruencies x = 2 mod 3 x = 4 mod 5 х З тod 7

A: Use Chinese remainder theorem Answer and explanation is given below

Q: Question 4 5 4 - Given A = compute 2A 5 2

A:

Q: 10. Find solutions of the system of congruences x = 3 (mod 7), x = 1 (mod 5), x = 4 (mod 6). a) 964…

A:

Q: Problem 3. Solve the linear congruence 7? ≡ 13 (??? 19)

A:

Q: Regarding Equations 11-20, 11-21 and 11-23, we could alternatively reject Ho if the resulting…

A: Since we know that When p-value < α Then we reject the null hypothesis And, when When p-value…