Please write as clearly as possible I only want to review my own answers for that I only need the answers

If f (t) = t2 + t, Between t = 10 and t = 12, what is the increase in f divided by the increase in t? Select one: O a. 2 O b. 25 O c. 46 O d. 1/23 O e. 23\fUse the formula sin( A + B) to find sin (3t ) in terms of sin(t). Select one: O a. 3sin(t)cos(t) O b. 2sin(t) + sin2(t) O c. sin2(t) + 3sin(t) O d. 6sin(t)cos(t) O e. -4sin (t) + 3sin(t)\fIf 3x2 + 2xy+ y2 = 2,then the value of% at a: = 1 is Select one: 0 a. -2 O b. 0 O c. 2 0 d. 4 0 e. not defined Suppose g(x) is a polynomial function such that g(1) = 4 and 9(2) = 7. Then there is a number c between 1 and 2 such that Select one: sinTy Find lim f (x) = y-+0 tanky Select one: O a. 1 Ob. T O c. 0 O d. -1 O e. None of the above.\fSuppose that g is continuous and that and I: g(x)d: = 10 and 10 g($)d$ = 13- Find L70 9($)d$ 4 Select one: Use quotient rule to find the derivative of g(x) = x2/(x - 11). Select one: O a. g @ = 72 (x-11)2 O b. g'(x) = 2272 (x-11)2 O c. g'(x) = (x-11)2 Od. g'(x) = 2 x2-22x (x-11)2