Answer:
The answer for this is the thrid one 1/4
The length of the support cable is about 29 feet.
If you sketch out the question, you will see that it will form a right triangle with the cable as the hypotenuse.
Just set up and use the Pythagorean Theorem.
15^2 + 25^2 = c^2
850 = c^2
29.15 = c
Answer:
To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then:
add basic figure volumes belonging to the composite shape.
subtract basic figure volumes NOT belonging to the composite figure.
Step-by-step explanation:
Answer:
$48.30
Step-by-step explanation:
If the dinner was $42.00 and they wanted to give a 15% tip, then to find that start by multiplying 42 by 0.15
42.00 x 0.15 = 6.3
now add $6.30 to $42.00
42 + 6.3 = 48.3
We want to find 
such that 
. This means
Integrating both sides of the latter equation with respect to 
tells us
and differentiating with respect to 
gives
Integrating both sides with respect to gives
Then
and differentiating both sides with respect to 
gives
So the scalar potential function is
By the fundamental theorem of calculus, the work done by 
along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it 
) in part (a) is
and does the same amount of work over both of the other paths.
In part (b), I don't know what is meant by "df/dt for F"...
In part (c), you're asked to find the work over the 2 parts (call them 
and 
) of the given path. Using the fundamental theorem makes this trivial:
