Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
Answer:
walmart
Step-by-step explanation:
Answer:
The angles are supplementary. X = 31
Step-by-step explanation:
The angles sum to equal 180 degrees, menaing they are supplementary. Add the degrees of each side 3x + 25 + 2x = 180 and solve for x. X should equal 31.
Answer:
The answer to your question is SA = 150.72 in²
Step-by-step explanation:
Data
Surface area = ?
height = 5 in
radius = 3 in
pi = 3.14
Formula
SA = 2πr² + 2πrh
Process
1.- Calculate the area of the bases
-Substitution
Area = 2(3.14)(3)²
-Simplification
Area = 2(3.14)(9)
-Result
Area = 56.52 in²
2.- Calculate the lateral area
-Substitution
Area 2 = 2(3.14)(3)(5)
-Result
Area 2 = 94.2 in²
3.- Calculate the total area
SA = 56.52 + 94.2
SA = 150.72 in²
Answer:
(a)
(b)
Step-by-step explanation:
We have been a function . We are asked to find the instantaneous rate of change of the function and the slope of the tangent line at point .
(a) First of all, we will find the derivative of our given function using product rule.
Now, we will substitute in our derivative function to find slope of tangent line as:
Therefore, the slope of the tangent line is -65 at point .
(b) We know that instantaneous rate of change of the function at a point is equal to the derivative of the function at that point.
We already figured it out that derivative of our given function at is , therefore, the instantaneous rate of change of the function is also at point .