Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful
Step-by-step explanation:
F = t ⇨ df = dt
dg = sec² 2t dt ⇨ g = (1/2) tan 2t
⇔
integral of t sec² 2t dt = (1/2) t tan 2t - (1/2) integral of tan 2t dt
u = 2t ⇨ du = 2 dt
As integral of tan u = - ln (cos (u)), you get :
integral of t sec² 2t dt = (1/4) ln (cos (u)) + (1/2) t tan 2t + constant
integral of t sec² 2t dt = (1/2) t tan 2t + (1/4) ln (cos (2t)) + constant
integral of t sec² 2t dt = (1/4) (2t tan 2t + ln (cos (2t))) + constant ⇦ answer
Answer:
<u>The correct answer is C. It is the original amount of money the bank loans the borrower.</u>
Step-by-step explanation:
Let's recall that are five basic elements for calculating the payment of a loan:
1. The principal. How much money you borrow.
2. The interest rate. How much money you will pay in addition to the principal.
3. The period of time. How long will it takes you to pay the loan.
4. The frequency of payment. Will you pay every month?, every quarter?, every year or maybe every two weeks?
5. Additional payments. When you have additional income seasonally and you want to lower either the period of time or the interests to pay.
we conclude that the center of the circle is the point (-5, 0).
<h3>How to find the center of the circle equation?</h3>
The equation of a circle with a center (a, b) and a radius R is given by:
Here we are given the equation:
Completing squares, we get:
Now we can add and subtract 25 to get:
Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).
If you want to learn more about circles:
brainly.com/question/1559324
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Answer:
square root 12^5
Step-by-step explanation:
