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Q: is 3% For n= 7 find brufx) where baskx) %3D werght functiom for Berntein sype operetucs

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Q: What statement could be used to prove that m f n?

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Q: Determine k so that; is singular.

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Q: Prove by contrapositive: if x is odd then x²+3x+5 is odd

A: Concept: Contrapositive method: A conditional statement's contrapositive is built through negating…

Q: In the figure below, ZWXZ3D108°, and m Z2 is three times m Z1. Find m 1. mZ1 = [• 1

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Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: The order of the element 3 in Z24 is

A: Given: Z24 Formula Used: The order of an element k in Zn is given by Ok=nhcfk,n

Q: but not こ *6A-エ none of thesce

A: Let us assume two matrices A and B. To prove or disprove if AB=I then BA=I. Let us consider matrices…

Q: only if k + 1

A: Basis of vector are linearly independent.

Q: why

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Q: so-Z of what is 21

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Q: 2/ Let the Polf fext = then E(X) is 2. 225 (30-x) 225 ③2x815 15 ≤x≤ 30

A: It is given that  The pdf of X is, f(x) = {  x/225,   0≤x≤15              (30-x)/225,   15≤x≤30 }.

Q: O Find the Posifi ve value of * that işfie the egquation x-2X+ 452Bisection methed)

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Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

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Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: 3. By subtracting and applying Green's Theorem again, show that (gVf – fVg) · nds for-1 ef – fv°g)dA…

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Q: 2. What is the quotient of and?

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Q: Suppose that f (n) = f (n∕5) + 3n2 when n is a positive integerdivisible by 5, and f (1) = 4. Finda)…

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Q: Use proof by contradiction to show that no integers  y and z exist for which 24y + 12z = 1.

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Q: Find d = gcd (270, 105) and hence find integers x , y such that d = 270x +105y .

A: GCD stands for greatest common divisor for two or more numbers.

Q: b22 Such that/2/-1E andArg 4.

A: We find complex number

Q: Which of the following is a coefficient of x' in (2 - x)11, O -5280 O 5280 О -330 О 330

A: In the expansion of (a+b)n , the (r+1)th term is given by tr+1 = ncr.an-r.br

Q: Which of the following is equivalent to 2x3 .x-1? A B D 5 NIN NIN inIN

A: The correct option is option (D)  The detailed solution is as follows below:

Q: 5) Let A= 18 Using Caley-Hamilton theorem find the expression A* -19A³ + 18A? + A + 21.

A: Please refer the attached image for complete solution.

Q: the value(s) of c such that 3c2n n=0

A: The given question is taken from the sequence and series in which we have to find the value of the c…

Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 +an-2 +n², express an in terms of n. %3D

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Q: Use the quotient rule to show the following: If n is a negative integer, and g(x) = x" then g' (x) =…

A: Solving by Quotient rule we can get

Q: Say whether the Runction is even, odd, or neither. Give reusans for your dnswer. go0 = x"+x-1

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

Q: Find the mотеnt m,:

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Q: Find the term of (a – 2b)3 that has b in it. |

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Q: - Given A 4 find AT A. 1

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Q: Find a number d>0 such

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Q: (4x +16x² - 44X If-a) is the G.C.D. of ax² + bx+c and ex² + ax + b such that c 0, then prove a + b³…

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Q: 8. Determine the value of k, given that: (x -k) dr=0 (3x +1)(r+1)

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Suppose that E and F are points on the number line If EF = 10 and E lies at , where could F be…

A: Distance between two points in a number line  is to  subtract the smaller number from the larger…

Q: (c) Show that for 2" > 4n for n ≥ 5.

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Q: Find integers p and q so that 17p + 45q = 1. Show your working steps.

A: Here we have to find the integers p and q so that  17p+45q=1

Q: Find t in:   120e^(-0.9t)+e^(2t) <120

A: Use the graphical approach to determine the value for t. Find the two functions using the given…

Q: The number of generators of Z15 is 7 9.

A: ℤ15 is a finite group.we have to find the total number of generators in ℤ15

Q: 10. Find the least nonzero integer a that makes v150a an integer.

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Q: a + b (2) (a) Prove by contrapositive : Va, b e R* : a < b → a <• (b) Prove by contradiction : For…

A: Part(a) We need to prove by contrapositive. In proof by contrapositive, if we have a statement "if p…

Q: Solve the zeroes of the following: Copy before answe 12:07 .ll? A cdn.kutasoftware.com 1) 3p - 2p-5…

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Q: In P2, find all real numbers a such that x - ax +1-a? is in the span of x -2x+1, x-1,and3x -2x-1. Oa…

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Q: Find and simplify: D¿[In(3!nx²-x)]

A: We have to calculate the value of Dx[3ln(x^2-x)]

Q: 11) Which of the following shows the solution for n2- 2n < 24? 十十 A) 6-54-3-2-10123456 + +++++++…

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Q: Find all m, n E N such that: n! + 2n + 49 = m²

A: This problem can be solved by graphical approach. Use a graphing utility to plot the graph of…

Q: Q3/ The value of k such that P2 (1) = 2.8, 2 4 of 1 2 Is

A: Lagrange interpolating polynomial for n=2 is:…

Q: -X+5 SY STEM= ** -*+Sy SY STEM = + bt) -t

A: This is a problem of differential equation.

Q: Find 2 + 7+ 12 + 17 + ... + 1202 using a technique •.. from this section.

A: Answer is 145082.