Answer:
Step-by-step explanation:
The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).
__
The derivatives alternate signs, so (-1)^k will be a factor.
The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.
The denominators have a degree that is k+1.
Putting these observations together, we can write an expression for the k-th derivative of f(x):
Answer:
Option a - $9,314.45
Step-by-step explanation:
Cost of the house = $268,500
Time of repayment = 30 years
Repayment is done monthly, so number of repayments = 30 X 12 = 360
Monthly Payment = $1595.85
Rate of interest per payment period =
So, Present value of monthly payments = 1595.85 X
= $259,185.55
So, Vanessa's down payment = $268,500 - $259,185.55 = $9,314.45
Hope it helps.
Thank you !!
Answer:
A)
General Formulas and Concepts:
<u>Calculus</u>
Discontinuities
Integration
Step-by-step explanation:
Let's define our answer choices:
A)
B)
C)
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
That easiliy false. You can prove this by observing that all integers are, in particular, rational numbers. So, for instance, you can think of 4 as , so
And obviously, you have
It is true that the square of every rational number between 0 and 1 is smaller than the number itself.
But since not all rational numbers are between 0 and 1, the general claim is false.