Answer:
0.166
Step-by-step explanation:
Answer:
Here is the answer.
Step-by-step explanation:
Answer:
slope = 7
Step-by-step explanation:
You have that the plane y=1 intersects the following surface:
(1)
To find the slope of the curve, you first replace y=1 in the equation (1):
(2)
This is the generated curve when the plane y=1 intersect the surface z.
The slope of a function is given by the derivative of the function. Then, you calculate dz/dx in the equation (2):
The slope only depends of the value of x. The slope for the point P(1,1,2) is:
The value of the slope of the tangent line to point P is 7
Answer:
n = 22
Step-by-step explanation:
We will use the formula for the present value of an ordinary annuity :
where P = periodic payment
r = rate per period
n = number of periods
Given P = PMT = $400, P.V. = $8,000, i = 0.01, and we have to find n.
Now we put the values in the formula
After rearranging we have
= 1 - 0.2
= 0.8
Taking log on both sides
-n log 1.01 = log 0.8
= 22.4257
Therefore, n = 22
So there are total 22 payments
Answer:
Step-by-step explanation:
Let L be the length of the ladder,
Given,
x = the distance from the base of the ladder to the wall, and t be time.
y = distance from the base of the ladder to the wall,
So, by the Pythagoras theorem,
,
Differentiating with respect to time (t),
Here,
Also, ( Ladder length = constant ),
Which is the required notation.