7. Evaluate the upper and lower sums for [(1) - 2 + sin x, 051S 7, with 2, 4, and 8. Illustrate with diagrams like Figure 14.

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Q: 8. Find the power set of the following set A = {0, a)

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A: (1)Consider the given function with limit:

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Q: (*+2x* -1) ? 5. What is f(-2) if lim, 5-3x 12 В. 6. C.- 15 D. -- А.

A: Given that: limx→-2x3+2x2-15-3x

Q: Find the range (i) x+5≥ 1. (ii) x+5> x-21. (iii) x+5<\x²+2x+31.

A: We can solve the range of 'x'.

Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: 14. -13 < 3 + 8p < 11 -8 -6 -4 -2 0 6 8 Interval Notation:

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Q: XA and x & f(x)}. Show Cim ƒ.) 38. Let a, b, c, and d be any real numbers such that a < b and c < d.…

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Q: 16) Identify the correct description for each equation. 17) y=4x-10 T(x) = {(1,6)' a) increasing b)…

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Q: _6. lim x-2 \x-1 A. -2 В. 2 С. О D. DNE

A: Here, we need to find the given limit. So,          limx→ 2xx-1Plug in the value x=2=22-1=2

Q: 8) GIVEN THAT F-x²yax -yay, FIND&F-d/ WHERE L IS THE COUNTOUR SHOWN IN THE FIEURE. 3 2 1 2 3 4

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Q: Which of the followings are false? :을 + (글)". I. General term of {0, 글,0, J, 0, 긍,0, 3,0,.. .}is an…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1. Graph f(x) = 3-* over the interval [-2, 2] y. 7 -8- -7+ 6+ -5-

A: The given function is:f(x)=3-x

Q: 10. Evaluate | x In(x+12) « dr.

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Q: Q1/ Let f, = (! ? 3 45 145 3 ). = (2 6 5).f = (1 345 6 2) € p. Find the following: 1) f, of, 2) 5 3)…

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Q: 3. In the domain of real numbers, explain what the following statement says in English. A rational…

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Q: » (6)- (:) + (2) ---» :) - (3) n n +(-1)" (" ). = 0. с) + 3 n +...+n = n2"-1.

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Q: 10. lim Ve+ 2-2

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Q: lim,-«G)* + x²+4 ()* limx--o %D 3x +1 a. -1 1 c. -3 Od. 3.

A: Given, limx→-∞53x+9x2+43x+1  We have to evaluate the limit.

Q: If X ~ N(80, 144) then find (90< x<100).

A: GivenX~N(80,144)Mean(μ)=80variance(σ2)=144standard deviation(σ)=144=12

Q: 7. Evaluate the upper and lower sums for f(x) = 2 + sin x. 0<x<T, with n = 2, 4, and 8. Illustrate…

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Q: For all integers n, if 6 | n, then 9 | ((n^2) + 21n/2)

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Q: 3. Find = {vati lim n (Hint: Use Squeez theorem). + ਜ √n²

A: Answer is 0.And attached below is the solution.

Q: 8. Let U = (-00, ), A = [-1,6], B = [-6, 2). In interval notation, determine An B. 9. Let U = (-0,…

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Q: 11. Use the Pythagorean Theorem to find x* 8 7.

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Q: a,1S, 12, 18 (b) an = (2 –)(3 + )

A: We have to find if the series is convergent or divergent.

Q: Verify the expression p^2 ≥ 2p + 1 is true     1. whenever p = 0   2. whenever p ≤ 1   3.…

A: Option 1) is false because 0is not greater or equal to 1 option 2 and 4 include value 0 ,1 ,2 for…

Q: 6. What is one process to determine if a function is ODD?

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Q: 6. The first interval is (15-20) & the last interval is (90-95), the coefficient range is ......

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