Answer:
4. dy/dx = -2
8. dy/dx = 1/2 x^(-3/2)
10/ dy/dr = 4 pi r^2
Step-by-step explanation:
4. y = -2x+7
dy/dx = -2(1)
dy/dx = -2
8. y = 4 - x^-1/2
dy/dx = - (-1/2x^ (-1/2-1)
dy/dx = 1/2 x^(-3/2)
10. y = 4/3 pi r^3
dy/dr = 4/3 pi (3r^2)
dy/dr = 4 pi r^2
So to find the ratio of the actual house to the house in the picture you would divide 72/4 to get 18. this means that the ratio is 18:1. Now multiply 2.5 x18 to get the real life height of the house. 2.5x18=45.
So the house is 45 feet tall.
Please anyone correct me if I'm wrong but I think this is right.
In this question, the trail is 2940 miles long and Manfred is already hiking the 3/7 of the trail. You are asked how many miles he has a hike. Then to find it you just need to multiply the trail length with the ratio of hike/total trail. The calculation would be:
2940 miles * 3/7 = 1260 miles
by starting from the number on the z axis and going up from the y axis
-x(3+4)
If you distribute it to all the numbers the simplest form would be -3x-4x