Could you solve the questions please? THANK YOU VERY MUCH!!!

For which values of c does f (x) = x2 + cx + 25 have a double root? (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) (3 10,10 For which values of c does f have no real roots? (Write your answer as an inequality. If the intervals are disjoint, separate each inequality with a comma. Express numbers in exact form. Use symbolic notation and fractions where needed.) f has no real roots for c such that: 0 S c Atter x+7 Find all values of c such that f(x) = - has domain R. x2 + 2cx + 4 (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the inequality in terms of c.) Inequality: CE ( - 2 , 2 ) IncorrectQuestion 8 of 14 > Use the gure to identify all angles between 0 and 21: satisfying the condition csc (0) = i. w; H - a 1 ) 27" 3 3(2' 2 (Give your answer in the form of a coma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such 9 exists on the interval [0, 21d.) Incorrect Question 11 of 14 O Atter If sin(0) Identify a domain on which the function f(x) = x2 + 7 is one-to-one. Select the appropriate domain(s). J D = (x:x #0} O D = (xx Given the universal gravitational constant G and a planetary mass M, the escape velocity u from a planet is inversely proportional to the square root of the planet's radius R. = We\" Find the inverse of ULR) by expressing R in terms of U. M g Question 4 of 14 ) The volume V of a cone that has height equal to its radius r is given by V(r) = %m'3 . Find the inverse of V0"), expressing :- as a function of V. (Express numbers in exact form. Use symbolic notation and fractions where needed.) m= Question 5 of 14 > The surface area S of a sphere of radius r is given by S(r) = 4112. Explain why, in the given context, S(r) has an inverse function. Identify the correct explanation. O S(r) is increasing on its domain and therefore is one-toone. O SOP) is decreasing on its domain and therefore is one-toone. O S(r) is linear and must have an inverse. O S(r) is both increasing and decreasing on its domain. 0 S(r) is a polynomial and all polynomials are one-toone for all real numbers. Find the inverse of S(r), expressing :- as a function of S. (Express numbers in exact form. Use symbolic notation and fractions where needed.)