Determines the numbers (in the corresponding order) of the row in the Pascaltriangle.

Q: Use both the Partial-Products and Lattice Product algorithms to perform the following multiplication…

A: Perform the multiplication by using both the partial products and lattice product327×43

Q: Find a reduction formula for ∫sinnxdx, n≥2.

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Q: max z = x1 + x2 + x3 s.t. X1 + 2x2 + 2x3 < 20

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Q: Find the dimension for M3,2

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Q: Find the order of each element in Z12-

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Q: Use the recursion formulas to calculate T4, T5

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Q: find of mataices 'inverse 6

A: First of all, consider the formula to calculate the value of inverse for 2 × 2 matrix.Then, put the…

Q: df Catx) is expandad

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Q: Show that for the d-cube, fk = 2ª-k (%) k.

A: It is required to show that for the d-cube: fk=2d−kdk

Q: a) What is the sum of all the entries of row 12 of Pascal's triangle? b) What is the sum of all the…

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Q: Find a counterexample to the statement that every positive integer can be written as the sum of the…

A: Claim: Every positive integer can be written as the sum of the squares of three integers. The given…

Q: ||

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Q: Find formulas for the entries of M", where n is a positive integer. M"

A: First find the Eigen Value and Eigen vector

Q: FIND THE SMALLEST n So THAT I

A: In this question, we have to find n for given |Rn|&lt;0.0001.

Q: Find the sum of the coefficients of (a+2b)⁶. Using pascal triangle

A: This question is related to binomial distribution.

Q: Find the greatest common divisor for 102 and 66, (102, 66), and the values of m and n such that…

A: To find the greatest common divisor of 102 &amp; 66. For that we can use Euclidian Algorithm.…

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: The smallest primenumberis: 5) (3

A: The smallest prime number is.    2

Q: s?

A: *Answer:

Q: Find the largest number 8 such that if |x – 3| < 8, then |2x – 6| < ɛ, where ɛ = 0.5. Repeat and…

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Q: 9. a) Compute the numbers 6Po, 6P1, 6P2, 6P3, 6PA, 6P3, and 6Ps. b) Compute the numbers 6Co, 6C1,…

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Q: Can you show it the "'short" way without using Pascal's method?

A: Given expression is: x-12x-24 We try to simplify it first: x-12x-24=x-12x-14=x-1·24·x-14=16x-15

Q: Find q and r as defined in the Division algorithm a. a = 5286, b = 19 b. a = -5286, b = 19 c. a =…

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Q: Use the decreasing time algorithm to create a priority list for the digraph below. TI (12) T4 (8) T7…

A: We will use the given diagraph to compute priority list by using decreasing time algorithm.

Q: All perfect squares are divisible by 2. A.) True B.) False, counterexample of 16 C.) False,…

A: Numbers that are divisible by 2 are {0,2,4,6,8 ,10 } Perfect sq 1X1=1 2X2=4 3X3=9  4X4=16 5X5=15…

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

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Q: if two even integers are multiflied, then the product is also even

A: Ans. True

Q: Find a number d>0 such

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Q: Compute the required operations: a. 4a-2b

A: Take dot product of vector

Q: Write down the 7th row of Pascal's Triangle.

A: We have to find the 7th row of Pascal's Triangle

Q: Show that the sum of the squares of the first n natural numbers is given by,S=(n(n+1)(2n+1))/6

A: We have to show that the sum of the squares of the first n natural numbers is given by S=nn+12n+16…

Q: Find the least natural number a with the property that the sum a + 2a + 3a + .. + 9a is the number…

A: Given sum is  a+2a+3a+4a+5a+6a+7a+8a+9a

Q: Q2/sit a second order Polynominal to the data X 2 3 3 9. 1 2 4 y 4 7 -1 6. 2 4 3

A: we have to find the second order polynomial from the given data.

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: Apply the backflow algorithm to the digraph below T1 (3) T5 (12) T9 (6) T2 (2) T6 (10) T8 (4) T10…

A: The critical time for the end point is zero 0. The directly linked tasks T9, T10 and T11 have the…

Q: How many squares of any size are in an 8x8 checkerboard using Polya's Four step method

A: Polya's created a famous four step process for problem solving which is used all over to aid people…

Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an +1 =…

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Q: be run under the building. If these two blocks must always be next to each other, how many s can the…

A: Given Here we have 7 blocks ,but we  have to keep 2 perticular blocks together. So we have to…

Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Q: Find the largest number d such that if |x - 2| < 8, then |4x – 8| < ɛ, where ɛ = 0.5. Repeat and…

A: Solving

Q: Find the laurent Seres of the func tion flz). Z+4 in Z(Z+3z+2) (a) L6) Izl> 2 )oと (c) こ7Z 7 |(

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Q: "There is no largest integer."

A: Given: To explain the given statement as follows,

Q: 2. Use combinations to find the coefficient for row 15, term 8 in Pascal's Triangle. Show your work…

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Q: If the sum of the co-efficients in the expansion of (a + b)" is 1024, then the greatest co-efficient…

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Q: the acdjainbaf square of As of 2.

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Q: the student noticed that if he writes a multiplication sign between the second and third digit of…

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Q: Find the remainders at each of the four steps of the Euclidean algorithm in the process to find th…

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Q: Find the least natural number a with the property that the sum a + 2ā + 3a + ...+ 9a is the number…

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