Over which interval of a values is f'> 0? THE FREATES 10000 DE TO PREORDED 1232528287 OSTALBOTER 2013 20 ESPAGNEA ○ (1,∞) (∞'T] O IN ESE PHAY MOR SINUS FERTERIALIENI F 11 O(-∞, 1) P

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

A:

Q: 2. Let A = 201-18 and /= 2 1 1 2 01 Find A(A+1).

A: A=[2 1      1 2]I=[1 0      0 1]

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A. let w-e te Find W2

A: We can solve this using u/v rule

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

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Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: 2. Let A= 2 7). Find et.

A: We need to find out the eAt.

Q: 3 2 If A = use the Cayley-Hamilton theorem to determine A?. 5 1

A: We can solve this by using given information

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: 2.) ² - 1) 1 dy (у? —

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Q: AC Biff P(A) C P(B).

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Q: 14. Find BE and AD. 2. 3.5 A

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Q: 1.4.7. .(3η- 2) E(-1)" 7.9.11.......(2n+5)

A: Given : ∑n=1∞(-1)n 1.4.7.....(3n-2)7.9.11.......(2n+5)   To Find: Whether it is convergence or not…

Q: 1. Simplify the following statement: [(Ra) V (q -r)] ^ ()

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Q: 769° 45° C. a) What is the measure of <ADB?

A: We can find the measure of angle ADB as below

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

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Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 5 7 8 10 2 3 Let A= and B= . Compute 4 5 (a) AB (b) (AB)"

A: Given A=57810B=2345

Q: | − x + 2| − 3 ≤4

A: Given  -x+2-3 ≤ 4 We have to find the values of x.

Q: Q. 5. Show that "-C, 1+"C, =" C, . n-1

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

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Q: 7. f : N2 → N.

A: (1) N2 ={(m,n): m,n∈N}     This is the sketch of the bijection f:N2 →N The curve which is traced on…

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: le + 2*]dx - 2*r]dr 3.

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

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Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

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: S= [²3/1/20 The value of dr is

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Q: The sum of the terms 1 for k= 3, 4, ... 10. Provide your answer below: || ])

A: The series given is  3+4+5+6+7+8+9+10 Now asked to find summation notation of the given series…

Q: 10. (x² – 2x + 1)e2 dr

A: Integrate function using integration by parts

Q: 3.6...(3n) E=1(-1)" n=1 2n2.5...(3n-1)

A:

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…