40 Select the correct answer. Find the area under the curve y = from 2 to 3. 3X 4 OA. 0.537 O B. 0.643 O C. 0.822 OD. 0.93641 Select the correct answer. A principal amount of $4,700 is deposited into an account paying interest at a rate of 3%, continuously compounded. What will be the account balance after 3 years? 0 A. $5,142.62 0 0. $5,032.09 0 C. $6,430.29 0 0. $3,010.51 42 Select the correct answer. A bowl of soup is heated to a temperature of 'I 90F. It is then allowed to cool at a temperature of 50F. The soup cools to 130F in 20 minutes. Determine how long it will take for the soup to cool to 100\"F. O A. 29.951 minutes 0 B. 30.243 minutes 0 1:. 36.797 minutes 0 0. 41.518 minutes 45 Select the correct answer. A hunter is at a distance of 50 m south of a nest. He uses a pair of binoculars to observe an eagle flying at 10 m/s towards the nest in a straight line. At what rate is the hunter rotating the pair of binoculars when the eagle is 10 m away from the nest? O A. 0.137 rad/sec. O B. 0.141 rad/sec. O C. 0.165 rad/sec. O D. 0.192 rad/sec.46 Select the correct answer. Find the derivative off (x ) = tan X O A. 3 * 4 4+x2 OB. 12 * 4 1+ x OC. 3 - 4 1+ X OD. 4x47 Select the correct answer. 1 Solve the integral ox /100 - 256x2 O A. tan 1 100 +0 100 8X OB. -1 5 sec 16 +0 8X OC. 1 sin -1 8x 16 5 +0 OD. sec -1 8x 8X 5 +048 Select the correct answer. 36 2 Find the area under the curve of the function evr - 1 between the limits v3 and 2. O A. 00|7 OB. 65 OC. -67 OD. 249 Find the derivative of /( x ) = ( *+coshx) OA. (1+ sinh x)e* O B. sinh x (*+coshx ) Oc. (1+ sinh x)ocosx OD. (1+ sinh x )s(*+coshx)50 Select the correct answer. Find f(0.1). if f(x ) = sech 12x OA. 14.549 B. 10.2062 OC. 9.64 OD. 3.5651 Select the correct answer. Find the area of the shaded region. Y 5 4 2x- - 1 3 12 -4 -3 -2 -1 2 3 A X O A. 0.879 O B. 0.768 OC. 1.747 OD. 1.54952 Select the correct answer. Evaluate the integral 4 1 O A. 9.817 O B. 1.565 OC. 4.695 OD. 14.085