Questions from Calculus

Q: Write the numbers 1 to 50 using any math operation and the

Write the numbers 1 to 50 using any math operation and the digits of the year in order.

Q: For the function shown in Problem #4, lim(x

For the function shown in Problem #4, lim(x→∞)(f(x)) =?

Q: Express the following sums using sigma notation. /

Express the following sums using sigma notation.

Q: Express the sum 1+3+5+ 7+...+23

Express the sum 1+3+5+ 7+...+23 using summation notation. Use 1 as the lower limit of summation.

Q: 1. Use the summation formulas to rewrite the expression /

1. Use the summation formulas to rewrite the expression without the summation notation. Evaluate your formula for n = 100 and n = 1000. Check your answers with the summation feature of your calculato...

Q: Express the following sums using sigma notation. /

Express the following sums using sigma notation.

Q: Match the following: Bond issued at Discount ✓ Bond issued at

Match the following: Bond issued at Discount ✓ Bond issued at Face amount Choose The stated interest rate is more than the market interest rate

Q: Find the area of the shaded region. /

Find the area of the shaded region.

Q: Define these term: Norm of a vector Unit vector

Define these term: Norm of a vector Unit vector Normalizing a vector Orthogonal vectors Vector space Subspace Linear combination of vectors (v1, v2,….vn) Span of sets S Linear independence Lin...

Q: Prove that the integral on the left is equal to the function

Prove that the integral on the left is equal to the function on the right and demonstrate that they have the same properties.