f. On what interval(s) is f(x) concave up?

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Q: HW_2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

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Q: 1.) Find v(t) 4+ 37 2-

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Q: 4. [7.4 & 7.5] If... a = i +3j - 2k, and b=i-3j-k, and c=2i+j-k, then... a) Determine (ā- 2b) b)…

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Q: 3. 4. 5. 0 -1 0 1 2 -3 -1 0 3 5 B: 0 2 0 2 -- [ 011- 01-3 1 -6 2 -4 1 2 5 -4 0 0-3 17 11 030 002 2 0…

A: We have to multiply given Matrix.

Q: Q. 2.2 Let X1,.,X, f(r;0), where Ox°-1, 00 f(r; 0) = 0, elsewhere. Find the m.l.e. and m.m.e. for 0.

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Q: 7.) 10² - 15i*

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Q: e equation of

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Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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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: 3. Compute (+) A. 1 B. -1 C. C.D. - E. i

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Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

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Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: II. Evaluate the following. 7 Σ k 1. k=0 8 8 2. E (-1)* C) k k=0 10 10 3. E k k k=1

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Q: 2.1.67 Find x assuming that (4,2), (6,7), (x,14), and (6,9) are the vertices of a parallelogram. X =…

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

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Q: 1/4 Question 2 (10 points) Match the questions in column A with the answers in column B. Answers are…

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Q: Prove the following statement: (VxR) (x 0 ⇒ (y R) (xy = 1))

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Q: . Show that sup{3 – 2 : n = 1,2, ...} = 3. %3D

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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: -1 -2 -3 -4- 1 2 Let A = 1 1-

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Q: DIVISION BYt (:) - {}> 81. Show that In %3D

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Q: 2 8a) y = x - 8x + 8 10 9 to B 7 wana NOVA 6 away

A: Make the perfect square.

Q: Let Z, = {0,1,2,3,4, 5,6} where each x € Z, is a least residue when an integer is divided by 7. %3D…

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Q: Let u = (6,6) and v = (5,6). Express 4u+7v in the form (a,b). 4u + 7v= ( (Simplify your answers.)

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Q: 2.2.12 Prove that if x and y positive real numbers, then Vx+y # Vx+ Vy. Argue by contradiction. are

A: Let x and y are positive real numbers. Also let x+y=x+y Now squaring on both side,we get…