Answer:
A) 12.1 , 12.01
B) infinitely large
Step-by-step explanation:
Give that the function f(x)=x2 describes the area of the square, f(x), in square inches, whose sides each measure x inches. If x is changing.
Using the formula
(f(a + h) - f(a))/h
as x changes from 6 inches to 6.1 inches
a = 6, h = 0.1
= [f(6.1) - f(6)]/0.1
= (6.1^2 - 6^2)/0.1
= (37.21 - 36)/0.1
= 1.21/0.1
= 12.1
and when x changes from 6 inches to 6.01 inches.
a = 6, And h = 0.01
Using the same formula
(f(a + h) - f(a))/h
= [f(6.01) - f(6)]/0.01
= (6.01^2 - 6^2)/0.01
= (36.120 - 36)/0.01
=0.1201/0.01
= 12.01
B) the instantaneous rate of change of the area with respect to x at the moment when x = 6 inches is infinitely large since h = 0
Answer:
see explanation
Step-by-step explanation:
is in the fourth quadrant
Where sin and tan are < 0 , cos > 0
The related acute angle is 2π - = 
Hence
sin([ ) = - sin() = - 
= - 
cos() = cos() =
tan(= - tan( = - 1
Answer:
43.71428571
Step-by-step explanation:
First, convert 7 2/7 into an improper fraction: 51/7
Second, multiply 51/7 by 5: 255/7
Third, add 255/7 and 51/7 to get 306/7
306/7 = 43.71428571
Answer:
This graph is NOT a function.
Step-by-step explanation:
A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.
Let me know if this helps!
You just have to arrange the equation such that the p is the only term at the left hand side of the equation. Express it in terms of r and m.
r = 1/2*m²*p
Divide both left and right hand side equations by 1/2*m²
p = r/(1/2 *m²)
Take the reciprocal of 1/2 and multiply it. The final answer is:
p = 2r/m²
