Answer:
2
Step-by-step explanation:
loge(x) is ln(x)
f(x) × ln(x)
Differentiate using product law
[ln(x) × f'(x)] + [(1/x) × f(x)]
x = 1
[ln(1) × f'(1)] + [(1/1) × f(1)]
(0 × 4) + (1 × 2)
0 + 2
2
Answer:
The solution set is: x>36
Step-by-step explanation:
We are given that we have to subtract 3 times of some number 'x' from 18 such that the resulting equation is less than -90.
this means that : 18-3x<-90
on solving the inequality by adding 3x on both side and adding 90 on both side we get that
108<3x
now on dividing both side by 3 we get that
x>36
Hence our solution set is: x>36
Answer:
V = 301 ft^3
Step-by-step explanation:
The volume of a cone is given by
V =1/3 pi r^2 h
We know pi = 3.14 r =6 and
We need to determine h
We can find h from the Pythagorean theorem where 6 is a leg and 10 is the hypotenuse
h^2 +6^2 = 10^2
h^2 +36 = 100
h^2 = 64
Taking the square root of each side
h = 8
V =1/3 pi r^2 h
V = 1/3 (3.14) (6)^2 * 8
V = 301.44 ft^3
Rounding to the nearest cubic foot
V = 301 ft^3
3.
a. y=28.4x
b. 4,260 grams in 150 ounces
4. 2b - 11
