Answer:
Problem 20)
Problem 21)
A)
The velocity function is:
The acceleration function is:
B)
Step-by-step explanation:
Problem 20)
We want to differentiate the equation:
We can take the natural log of both sides. This yields:
Since ln(aᵇ) = bln(a):
Take the derivative of both sides with respect to <em>x: </em>
<em /><em />
Implicitly differentiate the left and use the product rule on the right. Therefore:
Simplify:
Simplify and multiply both sides by <em>y: </em>
<em /><em />
Since <em>y</em> = (cos x)ˣ:
Problem 21)
We are given the position function of a particle:
A)
Recall that the velocity function is the derivative of the position function. Hence:
Differentiate:
The acceleration function is the derivative of the velocity function. Hence:
Differentiate:
B)
The position at <em>t</em> = 0 will be:
The velocity at <em>t</em> = 0 will be:
And the acceleration at <em>t</em> = 0 will be:
Answer: 15/8
Step-by-step explanation: you just have to add 12 and 3 and that in simplist form your welcome.
Answer:
13%
Step-by-step explanation:
Subtract 15 from 17 to find the increase -
17 - 15 = 2
Divide 2 by the original friend amount -
2/15 = 0.133
Multiply 0.133 by 100 to find the percent -
13.3
Round to the nearest percent:
13% increase
Answer:
1,288
Step-by-step explanation:
<span>First you take 3/4 of the tank (18000 gallons)
then you have to divide that by 40 to find out how many minutes it will take to get it.
the answer would be 450 minutes</span><span>i hope that thiss helps you out, have an amazing day!!</span>