A. Choose and write the letter of the correct answer. 1. What is the sum of the measures of the angles of a convex undecagon? a. 1 800° b. 1 980° c. 2 700° d. 1 620° 2. If the three angles of a quadrilaterals are 20°, 130° and 75°, what is the measure of the fourth angle? a. 120° S. 435° c. 150° d. 110° 3. How many sides does a polygon have if the sum of its interior angles is 1620°? a. 11 b. 9 c. 8 d. 7

Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: #2. Calculate (a) P(7,4) + P(7,3) (b) P(5,5)

A: Permutation is calculated as shown below: P(n,r) = n!/(n-r)! n! = n*(n-1)*(n-2)*.....2*1

Q: Question 5 Solve the exact differential equation (-5 sin(x) -y sin(x) + 3 cos(x))dx + (cos(x))dy = 0…

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Q: 1. Prove lim, n+2n³+7 2 0, using the definition.

A: I have used only definition of limit of sequence

Q: In Exercises 1-6, the given set is a basis for a subspace W. Use the Gram- Schmidt process to…

A: From the given basis we find an orthogonal basis of W. Using Gram-Schmidt process:

Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: Simplify. (4y²– 2y-3)+(3y²–5y-4)-(8)²-4y-8)

A: Given :

Q: Find A

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Q: .2 y = 4 - x² and x +y = 2.

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Q: A researcher claims that at least 10% of all football helmets have manufacturing flaws that could…

A: Given that, sample size is n= 200  snd X= 16  then proportion of football helmets with flaws is  p^…

Q: 10. MULTIPLE CHIOCE What is m2 UVW? C 81 А 39 B 42 138° D 138 39° W.

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: 6. Use the definition of convergence to prove that each of the following sequences converges: (a)…

A: Using definition we have to show that the given sequence is convergent.Note: According to the…

Q: 7. (Chapter 12.2, #6) The function f : Z × Z → Z defined by, f(m, n) = 3n 4m. -

A: Given a function f:Z×Z → Z  defined by fm,n=3n-4m. To find the range of the function. We can use the…

Q: In problems 6-8, determine (with proof) the range of the given function.2. 6. (Chapter 12.2, #4) The…

A: We have the given function is f:Z→Z×Z defined by f(n)=(2n,n+3) Now, to find the range of the…

Q: S dx 2 x-6x

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Q: In problems 6-8, determine (with proof) the range of the given function.2.

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Q: 12. A D (5x–8) K4x + 8) 12 E В с дут ухаа 13. AC = x + 7, DB = 6x-8 A D E В с

A: (12)  angle A is form right angle there for  ∠a=90°(4x+8)°+(5x-8)°=90°

Q: [2 1 31 1. If A 4 1 1 3, find A-1 L5 4 21 2. Is the formula valid for matrices? explain why? (A + B)…

A: 1)  We have given that , A = 213413542 We need to find , A-1 . To find the inverse matrix, augment…

Q: 4. Show the identity 1+ = (1+) (1+), then use it to prove n+1 (1+ 2) - = e?. lim n 00

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Q: 1 4x +3 dr

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Q: The "domain" of the relationship shown here is all x- values between 0 and 4. The "range" of the…

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Q: -1 2 5 2 7 -5 Let B = and C = 2 5 3 2 3 5 Find -4B+ 5C.

A: We have, B = -125253 C = 27-5235 To evaluate: The value of -4B+5C

Q: 5. List the left and right cosets of the subgroups in each of the following. (5bh from 6.5) a) (3)…

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Q: What is the the value of the limit lim,0 Vn (Vn+1- /n)? Show your work.

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