d/dx (2 x^2 y + y = 2x + 13)
4xy + 2x^2 y' + y' = 2
4xy + y'(2x^2 + 1) = 2
y' = (2- 4xy)/(2x^2 +1)
<span>ow we can use this in a linear equation for a slope
Ty = -5x/8 +5(3)/8 +8/8
= -5x/8 +(15+8)/8
= -5x/8 +23/8
this will gives us an approximation at x=2.8 now</span>
Answer:
9 feet
Step-by-step explanation:
Given:
The border of the garden is a right angled triangle.
Two lengths are given as 12 ft and 15 ft.
Let the length of the shortest timber be 'x' feet.
Now, in a right angled triangle, the longest length is called the hypotenuse.
As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

The negative value is neglected as length can never be negative.
Therefore, the length of the shortest timber is 9 feet.
Weight is the mass of the object * the acceleration due to gravity, so if the gravity changes the weight changes.
Thus, you want to put the situational data on their own, so the ratios you want to set up is:

So a person that weighs 15 pounds on the moon weighs
93.75 pounds on Earth.
Answer:
$169.92
Step-by-step explanation:
<em>Multiply Yearly Interest By How Many Years</em>
7.2 * 4 = 28.8
<em>Take 28.8 Percent Of Amount Of Money In The Account</em>
28.8 percent of 590 = 169.92
see the attached figure to better understand the problem
we know that
The volume of the cone is equal to

in this problem

Substitute the values in the formula above

therefore
the answer is
The volume of the nose cone is 