Answer:
x = -4
Step-by-step explanation:
a vertical line means it will cross only the x-axis, not the y-axis
wherever it cross the axis, that will be the point in your equation
example, a vertical line through the point (5, -10) has the equation x = 5
The correct structure of the question is as follows:
The function f(x) = x^3 describes a cube's volume, f(x) in cubic inches, whose length, width, and height each measures x inches. If x is changing, find the (instantaneous) rate of change of the volume with respect to x at the moment when x = 3 inches.
Answer:
Step-by-step explanation:
Given that:
f(x) = x^3
Then;
V = x^3
The rate whereby V is changing with respect to time is can be determined by taking the differentiation of V
dV/dx = 3x^2
Now, at the moment when x = 3;
dV/dx = 3(3)^2
dV/dx = 3(9)
dV/dx = 27 cubic inch per inch
Suppose it is at the moment when x = 9
Then;
dV/dx = 3(9)^2
dV/dx = 3(81)
dV/dx = 243 cubic inch per inch
Because 6 * 8 + ( - 2 )* 24 = 48 - 48 = 0 , the vectora u and v are orthogonal ;
Two vectors are orthogonal if their dot product is zero.<span />
Answer:
75 is the length of the third side
Answer:
About 376.99 cubic inches
Step-by-step explanation:
Cylinder has a volume of:
Where
V is the volume
r is the radius
h is the height
We need to find the volume of the cylinder, then multiply that answer by 3/4 to get the solution to this problem. First, the full volume of the cylinder.
Given
r = 4
h = 10
So,
Now, we multiply by 3/4:
Mary should be vase to 376.99 cubic inches
