Match each piece of der -V bv e f'(x) is positive f'(x) is negative f"(x) is positive f"(x) is negative a. The graph of f(x) has an inflection point b. The graph of f(x) is increasing c. The graph of f(x) has a maximum or minimum d. The graph of f(x) is concave up e. The graph of f(x) is decreasing f. The graph of f(x) is concave down

Q: Why must nCr always be less than or equal to nPr for any given n and r

A: Permutations and combinations are given.

Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

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Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: 2. Find NP. M 8

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Q: 3 = adj A. If |A| = - %3D

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Q: 1. Given that m= -3, n = 2, p = -1 Find: m (p – n)2 _____3p + m Select one: a. 4½ b. 27/8 c.…

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Q: Q.7) In a party 25 people shake hands to each other (only once). How many n(n-1) handshakes will…

A: Given that  Number of people shake hands each other=25 To find  Number of shake hands will occur.

Q: Example 7.4.1. If a = (2, -1, 3) and b (1,2, 1), find a x b.

A:

Q: 3. (E1.7-Q8) Find A², A-2, and A-k (where k is any integer). -6 0 0 0 0 30 0 5

A: To find , , and  (where  is any integer).

Q: NCx) = x² - 2x - 5 MQx) = 2x+3 N of M

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Q: In (Z24, €) find the orders of the elements 3, 4, 6, 7, and 18.

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

A:

Q: 2-j5) Show that JA -25 (1+j2 \3+j4 = 57 + j24 - 2

A: the given equation is -2521+j23+j4-2-j5-j=57+j24 consider Left hand side…

Q: III. Determine whether the statement is true or false. (Example: if B+2 10, then 4 37 is FALSE…

A: Given that:                            1. -15&lt;152. 8+3=11 Or, 5 is an even number3. 1=2 and 15 is…

Q: The number of the element(s) of order 2 in Z3 O Z6 O 2 3

A: Given  ℤ3⊕ℤ6

Q: Prove that A2=I.

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Q: Find the rank- 1 approximation of

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Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

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Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

A: Given: The matrix P=4611 and Q=22341-120 a) Find the size of the matrix QTP-1 b) Find the entry 2,1…

Q: 11! 1.) 5!x4!x3! 2.) Р(8, 5) 3.) Р(12, 4)

A: Our aim is to solve the following :  1) 11!/(5!*4!*3!) 2) 10!/7! 3) P(8,5) As per our guidelines, we…

Q: What additional information would be needed in order to prove A CAT = A DOG by Side-Side-Side (SSS)?…

A: Given that △CAT≅△DOG by side-side-side(SSS) write down the additional information to be needed to…

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: Let U= {x |x E N and x< 10}. Let A = {x | x EN and x is odd and x< 10}. Let B = {x |x EN and x is…

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Q: 3. Find all r so that r-1+r-2| < 5.

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Q: If, (V₁ X V₂) · V3 = 6.5 then what is (V3 X V₁) - V₂? ○ (0,0,0) Cannot be found with the given…

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Q: Find the value of K by determines. |1 2 3 0 1 2- |2 1 3 3 4 3 kl

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Q: 1 -2/ -1 1 Let A = Then, ||A||2 = Select one: а. 7+45 2 O . 8+V45 2 C. 10+V45 2 d. 9+V45

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Q: Proposition. For all a, ne Z with n> 2, if a =4n 3n, then a =, 0.

A: To prove - For all a, n ∈ ℤ with n ≥ 2, if a ≡4n 3n, then a ≡n 0

Q: a. 2 |x – 4|| х-1 b. x? + 2х — 12 1 х+1

A: a.  (1, 2] and [3, (5+√17)/2]         b.  (-1-√13 , -1+√13)

Q: Find all positive integers n such that 2" – 1 | 3" – 1. - -

A: Given 2n-1|3n-1 ,  for n∈ℤ+ To find if the statement is true.

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

Q: -2 1 2 -1 1 -1 2. LetA= Then find A-1 if it exist. 1

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Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

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Q: Hew.2 Exfress the Summ ef the Vecturs AB and if ACl,-1)_, B (2,022C(-l,3) and D(-2,2).

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Q: j! j=0 4.

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Q: Prove that when you select n +1 numbers from {1,2, ... 2n} two of them must be consecutive (that is,…

A: Use inductive argument and Pigeon hole principles