I'm going to rewrite f(t) to make it a little easier to use the power rule:
Now just take the derivative using the power rule:
Since they ask for f'(a), we need to replace the t's with a's:
Answer:
A is the answer
12 in
first substitute the variables
then 78=1/2h(5 + 8)
this makes it an equation
add similar terms which equals to
78=1/2xhx13
then divide both sides by 13
6=1/2xh
lastly divide both sides by 1/2
12=h
Step-by-step explanation:
proof
A=1/2x12(5 + 8) then
A=1/2x12x13 then
A=6x13 then
A= 78in^2
4x + 8(3x-7) = 22x -65 distributive property
4x +24x -56 = 22x -65distributive property
28x -56 = 22x -65 additive property
6x = -9 subtractive property
x = -3/2 division
Answer:
1.) $1.07
2.) $2.25
3.) $14.20
Step-by-step explanation:
1.) Toonie = 2 CAD
CAD = USD $1.57
$1.57 - $0.50 = $1.07 (USD)
2.) $2.75 - $5 = $2.25 (USD)
3.) $20 x 4 = 80
$80 - $65.80 = $14.20 (USD)
Hope this helped!
The instantaneous rate of change is simply equivalent to
the first derivative of the equation or function. We are given the equation of
Surface Area (A) with respect to side (x):
A = 6 x^2
Taking the first derivative of the equation:
dA = 12 x dx
dA / dx = 12 x
Now the term dA / dx is the instantaneous rate of change
in the surface area with respect to the side length. To get the rate of change
when the side x = a, simply plug this in into the equation:
rate of change = dA / dx = 12 x
so when x = a:
<span>rate of change = 12 a</span>
