10. (a) Write Pascal's triangle. How are the entries in the trian- gle related to each other? Row 0 Row 1 Row 2 Row 3 (b) Use Pascal's triangle to expand(x + c).

Q: Problem 66. Prove TheoremZ

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A: Pascal's triangle is a triangular array constructed by summing adjacent elements in preceding rows.…

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A: From Given Information  To test: H0:σ12=σ22VersusH1:σ12≠σ22

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

A: This question is related to binomial distribution.

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Q: (2) Prove that (1+x)" > 1+nx for all x > 0 and n > 1.

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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

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A: We get the last three terms of the expression using binomial expansion as

Q: need

A: Please refer to the image below

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

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

Q: Find the 10th term in the 15th row of Pascal's triangle.

A: We will find out the required term .

Q: 10. Please help me answer both parts to this calculus question.

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Q: Intro to proofs Given : AB=DC PROVE x=8 2x+5 =AB 5x-19= CD

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Q: Write the first eight rows (rows 0 through 7) of Pascal's Triangle.

A: Solution:-

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A: Change the given limit function in logarithmic form and apply L Hopital's rule.

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A: Remember how the Pascal triangle work

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Q: Use the Base Chart method as shown in Module 3 page 64 to subtract:      513 - 245   F L U   5 1 3…

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Q: 6. Use Pascal's Triangle to find the number of paths from A to B. A B

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Q: 10. Find the 8th term in the 13th row of Pascal's triangle. Show your work here:

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Q: Write out row 8 of Pascal’s Triangle

A: Elements of pascals triangle are written by summing two adjacent elements of previous row.

Q: Prove

A: To prove that, works for every z:                      ez-1≤ez-1≤zez

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