1A (8) 2 points possible (graded) Find the values of the constants a, b and c for which the following function is differentiable. (Give a and b in terms of c.) f (20 ) = J ca' + 4x + 1, x 21; lax +b, xO; sin 32, a: S 0. (Enter an interval for a range of values, or a decimal number for a single value. The open interval not including the point a, (00, a) is written with round parentheses as (-infty, a). To type more than one interval, separate with semicolons ; and type as [-3,1);(2,infty) to denote the union of the two intervals.) 6: 'IA (12) 0H1 point {graded} Find a polynomial p (:13) whose derivative is the following polynomial, and which satisfies 3) (0) = 1 and p\" (:3) = :55 + 5:135 + 43:3. (Enter at: for multiplication; e.g. 2*): for 22:. Enter / for division; e.g. 2/2\": for . Enter A for exponents; e.g. xA2 for 2:2. Use a: parentheses [) to denote order of operations.) Mm) = 1A (13) 2 points possible (graded) Find all values of a and b for which f (a ) is differentiable. ax + bar + 4, f (20 ) = 525 + 3x4 + 7x2 + 8x +4, 2>1 (Enter decimal numbers or fractions. If there is more than one value, separate values by a comma: e.g. 1, 2, 3.) a = b =