Solve these Math:

Quezon}- . 1 points savenqs 1 A particle moves aiong a straight line according to the law of motion s{t}=E f3 7T2 + 4f 3. Find the velocity at the moment t='| 0. [Enter your answer as an integer. using digits. not words. Like ?'8 or 5. not seventy eight or negative ve.) Question 10 1 points Save A A particle moves along a straight line according to the law of motion s(t)= 6 1 3 _ 4+2 + 5t - 4. Find the acceleration at the moment t=3. (Enter your answer as an integer, using digits, not words. Like 78 or -5, not seventy eight or negative five.)apostle-n 11 1 points Save. The area A of a disk of radius r is given by the formula A: 1Tl'2. Assume that the area increases at a rate of 2fsec. Find the rate with which the radius increases at the moment when the diameter d=12ft {Enter your answer correct to at least ve decimal places, you may use the value of 11' provided by your calculator; or alternatively use 11' == 3.141 5925535 ) Question 12 Find the instanteneous rate of change of f(x ) = 3x- - 3 at x=1. O 25 O 20 O 12 O 9 O 5 O 10 O 6 O 3Question 13 Find the derivative of f(x ) = - 4 - - 5 +6VX X f' ( x ) = - 5 3 O X f' ( x ) = 4 4 O X 5 3 O f'(x) = X O f' (x ) = 5 3 f' ( x ) = - 4 4 + 2 X O f' ( x ) = - 5 Xf' (x ) = 5 3 O X f' ( x ) = - 4 4 O + 2 X fox) =- 3 O + f' ( x ) = - O X f'(x ) = 4 4 OQuestion 14 1 points Save Ans Given f(1)=-3, f(54)=-5, f'(1)=2, f'(54)=11, g(54)=1, and g'(54)=6, evaluate (fig(x)))' when x=54. Enter your answer in the box as an integer like -30 or 43Question 17 If fix) = ( 3x 1+3x2] , find f'(x) and evaluate f'(1). In the box enter your answer for f'(1) as an integer, like -35 or 356Question 18 Find the equation of the tangent line to the graph of fox)=sin(x* - 2x + 1) when x=1. O y = 2x + 2 Oy = -2x - 2 O y =-2x Oy= 1 O y = 2x y = 2x - 2 Oy=-1 Oy =-2x + 2Question 20 Find the derivative of f(x) = x In()() . O 1+In(x) O In(x)-1/x O 1/X O X O -1/X O O x+In(x) O In(x)+1/xQuestion 4 Find the derivative y' if y=In(cos x) . O 1/cos(x) O cos(x)/sin(x) O - 1/cos(x) O sin(x)/cos(x) O -1/sin(x) O 1/sin(x) O -cos(x)/sin(x) O -sin(x)/cos(x)\fQuestion 8 Find the second derivative of f(x) = 3x In(x) and evaluate it at x=5. (Enter your answer correct to at least three decimal places.).QFEStiO" 9 . 1 points Salem As a snowball melts. its area A decreases at the rate 2 cmzr'minute. Find the rate with which it radius decreases. when the radius r=5 cm. Use that the surface area efa sphere is given bythe formula A=41Tr2 (where 11 is approximately 31415926535}. Enter your answer as a number only, correct to at least four decimal places, no sign