14 DETAILS Derivative. The derivative of e -4 h(x) = 3 + e ( 4 x + 7 ) is O h' ( x) = e *(-4) (3 + e (4x 2 + 7 ) )-e (4x2 + 7) (8x) (e-4) ( 3 + e ( 4 * 2 + 7 ) , O none of the other answers Oh' ( x) = -e ( 4x2 + 7) (8x ) ( 3 + e ( 4 x 2 + 7 ) , 2 Oh' ( x ) = e-4 ( -4) (3 + e ( 4x 2 + 7) ) -e(4x2 + 7) (8x) (e-4 ) (3 + e ( 4x2 + 7 ), 2 Oh' ( x ) = - e ( 4 x 2 + 7) ( 8 x ) ( e - 4 ) ( 3 + e ( 4 x 2 + 7 ) , 2 Submit Answer15. DETAILS Tangent Line. If p(x) = 2x2 + 4x5 + 5 + 2 X Then the equation of the tangent line to the function p(x) at x = 1 is y = -11x + 24 y = -11x + 15 y = -11x y = -9x + 13 y = -9x y = -11x + 26 y = -9x + 24 None of the other answers 16. DETAILS Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = In(xy2) The domain of f(x,y) is the set of all points (x,y) in the xy-plane where x 2 0 and y 2 0 the set of all points (x,y) in the xy-plane where y 2 0 none of the other answers the set of all points (x,y) in the xy-plane the set of all points (x,y) in the xy-plane where x 2 0 17. DETAILS TANAPCALCBR10 5.2.062. Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. In(a) - In(b) = In(a - b) for all positive real numbers a and b. True. Take a = 4 and b = 2. Then In(a) - In(b) = In(4) - In(2) = In( = In(2). And In(a - b) = In(4 - 2) = In(2). True. This is one of the Laws of Logarithms. O False. In(a - b) = In(a) - In(b) only for negative real numbers a and b. O False. In(a - b) = In(a) - In(b) only for positive real numbers a > b. O False. Take a = 2 and b = 1. Then In(a) - In(b) = In(2) - In(1) = In(2) - 0 = In(2). But In(a - b) = In(2 - 1) = In(1) = 0. Submit Answer18. DETAILS Area. Suppose the area of a circle is decreasing at a rate of1m2/sec, the rate of change of the radius when the area isliIJm2 equals 0.0892 m/s 11.2100 m/s \" -11.2100 m/s \" -0.0892 m/s " -62.B319 m/s " 62.8319 m/s