Consider h(t)= 3t+2+4t² Determine the intervals on which h is decreasing. Oh is decreasing on: Oh is decreasing nowhere. Determine the intervals on which h is increasing. Oh is increasing on: Oh is increasing nowhere. Determine the value and location of any local minimum of f. Enter the solution in (t, h(t)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. Oh has a local minimum at: Oh has no local minimum. Determine the value and location of any local maximum of f. Enter the solution in (t, h(t)) form. If multiple solutions exist, use a comma-separated list to enter the solutions. Oh has a local maximum at: h has no local maximum.

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

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Q: Let A = {1, 2, 3) and let f : A A, defined by f = (1, 2), (2, 3), (3, 1)}. Find f, if it exists. %3D

A: given A = {1, 2, 3} this is function

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

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Q: et f = xi+ yj + zk and g = |f|. Then Ve9 =

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Q: Q. One of the following statements is wrong: a.-1,0 = 1.100/ 6.(2,3=| 2.5) C. (1. 2) = R d.(2,3) =…

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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: Haw:2 ExPress the Sumef the Vectars Aß and E ,if ACl,-), B (2,0)_, C(-1,)_ and D(-2,2).

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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: Find the inverse of the imotriÀ 2. -1o 3 (5 -21 8

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Q: (0,0) (2,4)

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Q: Find the rank- 1 approximation of

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Q: e equation of

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Q: 5. Find all points at whi

A: 5. Given curve C with parametric equations   C: x(t)=2cost, y(t)=8sint We have to find all points on…

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: = xyi + yzĵ + de is a in x-y plane.

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Q: [1 T = 11 1. 1 9 0 9 -2 .a O 1 9 3 9 -2 .b O 3 9 1 9 0 .c 2 2 0 .d O 9 9. N O

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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 Let A = then det(3AT) - 18 -6 -2 II

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Q: 9.) Find the value of b² – 4ac, given a = 4, b = 6, and c=-4.

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Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

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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: リ ー上 5, Use the inverse imatirice s tofind and (24) 22 3 ミ 3. 3. 3 -2

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

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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: Consider the function, y= 5 sin 1.5 (x+60°)-5. Determine: a. The midline of the function. b. The…

A: Given function is y=5sin1.5x+60°-5

Q: Q. One of the following statements is wrong: a. [-1,0] = [1,100] b.(2,3] = [-2,5) с. (1,2) %3DR…

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Q: 2.11) Write as 1 y- linear combination of X₁² -2 2 F 2 -1

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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: 7. Р(6, 4)/4! ANSWER ! 15

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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…