Homework Statement
determine the constants a,b,c, and d so that the function f(x)=ax^3+bx^2+cx+d has its first derivative equal to 4 at the point (1,0) and its second derivative equal to 5 at the point (2,4)
Homework EquationsThe Attempt at a Solution
I found the first and second derivative...
Homework Statement
Find the points on the curve xy^2+x^2y=16 when the tangent line is horizontal
The attempt at a solution
I found the derivative of the curve
-(y(2x+y))/(x(x+2y))
then I found what values of y make the derivative equal 0
y=0,-2x
Then I went to plug into the original curve to...
Homework Statement
A package sent by a courier has the shape of a square prism. The sum of the length of the prism and the perimeter of its base is 100cm. Write a polynomial function to represent the volume V of the package in terms of x.
width and height are in x centimeters, length is in y...