Please answer first question

Question 1 (3 points) There is a distance metric on polynomials with real coefficients given by D(p(x), q(x)) = \\p(x) - q(x)| dx, This gives the area under the curve f (x) = absolute value of p(x) - q(x). over the interval with x e [0, 1]. Suppose p(x), q(x), and r(x) are polynomials, with with D(p(x), r(x)) = 3 and D(r(x), q(x)) = 4. What the value of D(q(x), r(x)) ? A/ Hint: You can use the metric space axioms, even if you don't know how to calculate the integrals!Suppose p(x), q(x), and r(x) are polynomials, with with D(p(x), r(x)) = 3 and D(r(x), q(x)) = 4. What the value of D(q(x), r(x)) ? Hint: You can use the metric space axioms, even if you don't know how to calculate the integrals! What is the value of D(r(x) q(x), q(x)r(x)) ? A / Given the above information, what is the largest value that D(q(x), p(x) ) could take? Previous Page Next Page Page 1 of 7