f(x)=105sin(kx+m) , for some real numbers k and m , and g(x)=f(x)/5. What is the maximum value of g(x) ?
If a is a real number and a cubic equation f(x)=x^3−12x^2+(a+20)x−2a has a repeated root, what is the sum of all the possible values of a ?
What is the smallest possible positive integer x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77 ?
How many distinct rational numbers can be expressed in the form a/b, where a and b are integers such that 1<=a<b<=10
which melts at a low temp in a solid nonelectrolyte what type of solid is it
Given that cos(3x)=acos^3(x)−bcos(x) is a trigonometric identity, what is the value of a+b
Given that cos(3x)=acos^x−bcosx is a trigonometric identity, what is the value of a+b ?
If sinx−cosx=1/2 then cot^2 (2x)=a/ b, where a and b are coprime positive integers. What is the value of a+b ?
How many positive integers less than or equal to 1000 are common multiples of the three numbers 8,100, and 40