I have problem with following question:
"You are given two functions: h(x) = (x+2)^2 - 15x - 30 and L(x) = qx, where q is any real number. Find the value(s) of the parameter q such that the area of the region enclosed by these two functions is equal to 1000."
Here is what I have done so far:
1) declare (and display) both functions:
h := proc (x) options operator, arrow; (x+2)^2-15*x-30 end proc; L := proc (x) options operator, arrow; q*x end proc; plot([h(x), subs(q = 5, L(x)), subs(q = -25, L(x))], x = -20 .. 20, y = -200 .. 500)
2) try to find limits to integrate:
a := solve(L(x) = h(s));
3) integrate and solve for q:
Int(L(x)-h(x), x = rhs(a) .. rhs(a));
but it does not work. :-(
what am i doing wrong?