For each n the interval [2, 9] is divided into n subintervals [ri-1, il of equal length Ar, and a point r is chosen in [i-1, 2]. Express the limit lim Σ (5rf sin mf) Δε as a definite integral. 1. limit= - 1² 3. 2. limit= ²5% 4. limit= -1.² 5x sin x dx limit= 5 sin x dx 5x sin x dx 5 sin a dr

Q: 2 4 + 1 + ... 27 an = 22 + 3. 2.1 33 44 1 c) + ... 2.1 4· 3 · 2 · 1 an = +

A: b) 11+23+49+827+.......c) 11-222.1+333.2.1-444.3.2.1+......d) 212+1+122+1+232+1+142+1+.......

Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

A:

Q: З and an - - 3ап-1 + an-2 for integers n>2. Evaluate and d4: Let a, = 2, a2

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Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: . Let n =12,612,6x0,725,725 . a. If 9 | n, then x = ________ . b. If 11| n, then x = ________.

A: (a) We know 9 | n iff the sum of the digits of n is divisible by 9.     n = 126126x0725725    =>…

Q: -8; -11; -14; Determine T, the general term of the number pattern. UAV

A: If the difference between consecutive terms is a constant for a sequence, then it is called as an…

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: If a and b are any real numbers, is the statement a * b = b * aalways true? Why or why not?

A: Given that, a and b are any real numbers.   The objective is to decide whether the statement a×b=b×a…

Q: a. write the converse of: "if apples are oranges, then 1+3=5."

A: The converse of "if p, then q" is "if q, then p." Here,  p: Apples are oranges q: 1+3=5

Q: Write the number 6 as a sum of three natural numbers in several different ways, and, in each sum,…

A: To be solved - Number 6 as a sum of three natural numbers in several different ways, and, in each…

Q: Let A and B be two sets of real numbers. Which one of the following identities is true? O A = (Anø)n…

A:

Q: Illustrate the following on a number line:a. |x|=4b. |x|c. |x|>4

A: Part a. For |x|=4 x =+4 and x=-4 are the two values of x on the number line.

Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

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Q: If A - 3 1 determine A?- 2A +I 2

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Q: 16 = ? %3D

A: Given 16

Q: 1.) Evaluate 12 - 2 - (-9) + -18 + 3 • 2 - 10

A: topic - numbers

Q: If then A 1 = A = || = [6 0 0 030 0 7 2

A: Given is the matrix .The objective is to determine its inverse.

Q: AfA= 3 1-2 3 3 60/ and A + 9B = B= 4 4-5 -3 6 4 ? ? ? ?? a what is the value of the element a?

A: This is an question of summation of two matrix. The problem is solved by adding the matrix and then…

Q: -3, -9, -27, –81, ... a) How do you find the next term?

A: Given that  -3,-9,-27,-81,.... To find the next term

Q: a. b. Use the properties of conjugates to show that =|z ④ 2 こっころ 2 こっこ

A: Given information Part (a):-   z 4 = z4 Note:- If z = x+iy then z = x-iyz = x2+y2 Note:- If  z = x…

Q: If then A= 4 1 ܐܐ -5 -1 0 0 0 0 0 0 0 0 1 1 1 2

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Q: LO 0 F- 2 3 1 0 τη.. .... Evaluate D.

A:

Q: If then A-1 - # 用 A = 1 5 -4 -9 0 0 1 4 -2 0 0 1 0 3 1 , 田

A: By Gauss-Jordan elimination: Let A=IA…

Q: Determine whether the following statements below is true or false. 1. (1/2)2<1/2, and 123 is…

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Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: 2. Find a2ı for {121, 118, 115, . . .}

A: 2. The arithmetic sequence is given by 121, 118, 115,........ Formula Used : an = a1+n-1d…

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A:

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

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Q: Síx²lnxdx

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Q: is called the multiplicative identity. • 0 -1 • 9 • 1

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Q: 720 can also be written as А. 2! х 3! В. 3! х 4! C. 2! x 5! D. 3! x 5!

A:

Q: If the product of two integers is positive, their signs are . b. If the product of two integers is…

A: To solve the following problem

Q: If SSbetween = 30, SSwithin = 40, dfbetween = 3, and dfwithin = 20, then F = ______

A: Step 1

Q: If An B C ANC does this imply that B C C?

A: No, that doesn't imply that B is subset of C.