Questions from General Calculus

Q: Find the value of the sum. ∑ni=1

Find the value of the sum. ∑ni=1 (i + 1) (i + 2)

Q: Find the value of the sum. ∑ni=1

Find the value of the sum. ∑ni=1 (i + 1) (i + 2)

Q: Find the value of the sum. ∑ni=1

Find the value of the sum. ∑ni=1 (t3 – i - 2)

Q: Find the number n such that ∑n i=1 i

Find the number n such that ∑n i=1 i = 78.

Q: Prove formula (b) of Theorem 3.

Prove formula (b) of Theorem 3.

Q: Prove formula (e) of Theorem 3 using mathematical induction.

Prove formula (e) of Theorem 3 using mathematical induction.

Q: Prove formula (e) of Theorem 3 using a method similar

Prove formula (e) of Theorem 3 using a method similar to that of Example 5, Solution 1 [start with (1 + i)4 – i4].

Q: Write the sum in expanded form. ∑6i=4

Write the sum in expanded form. ∑6i=4 i3

Q: Prove formula (e) of Theorem 3 using the following method

Prove formula (e) of Theorem 3 using the following method published by Abu Bekr Mohammed ibn Alhusain Alkarchi in about AD 1010. The figure shows a square ABCD in which sides AB and AD have been divid...

Q: (a). In Example 11 the graphs suggest that the limaçon

(a). In Example 11 the graphs suggest that the limaçon r = 1 + c sin θ has an inner loop when |c| > 1. Prove that this is true, and find the values of θ that...