Question

What is the sign of the product (8)(−23)( −21)(−29)?

Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive
Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive
Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative
Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number

Answer 1

Answer:This question likely should be done before the other one. What you are trying to do is give C a value. So you need to remember that C is always part of an indefinite integral.

y = \int (cos(x) + sin(x) ) \, dx = \int{cos(x) \,dx + \int sin(x) \,dx

y = sin(x) - cos(x) + C

y(π) = sin(π) - cos(π) + C = 0

y(π) = 0 -(-1) + C = 0

y(π) = 1 + C = 0

C = - 1

y = sin(x) - cos(x) - 1 <<<<< Answer

Problem Two

Remember that y = \int\ { \frac{1}{x} } \, dx = ln(|x|) + C

y( - e^3 ) = ln(|x|) + C = 0

y(-e^3) = ln(|-e^3|) + C = 0

y(-e^3) = 3 + C = 0

3 + C = 0

C = - 3

Explanation: