Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value.
<span>Y=-2x+1, y=-2/3x+5
X= -3 and Y =7</span>
The number of rotations for the new wheel will be 1,056 rotations
<h3>How to calculate the circumference of a wheel?</h3>
Let the initial circumference be 50 rotations (assumed)
If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:
Ne circumference = 1.2 * 50 = 60
number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations
Hence the number of rotations for the new wheel will be 1,056 rotations
Learn more on circumference here: brainly.com/question/20489969
A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.
