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? O A. $5,142.62 O B. $5,882.09 O C. $6,430.29 O D. $8,010.51Select the correct answer. A bowl of soup is heated to a temperature of 190F. It is then allowed to cool at a temperature of 50"F. The soup cools to 130 F in 20 minutes Determine how long it will take for the soup to cool to 100*F. O A. 29.961 minutes O B. 30.243 minutes O C. 36.797 minutes O D. 41.518 minutesSelect 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 straigl 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.Select the correct answer. Which integral resembles 3 [ 2(3*#) dx ? O A. judy = uv - fvdu O B. jundu = -+0.n #-1 n +1 OC. [edu = e"+c OD. Ja du = In aIdentify the most appropriate method of integration that should be used to solve the integral [3xe*dx . O A. Integration by parts O B. Partial Fraction Decomposition OC. Basic Substitution O D. Trigonometric Substitution Reset NextSelect the correct answer. Which statement best describes why 2 ox will converge or diverge? (3x+2)? O A. It will converge because the corresponding limit does not exist. O B. It will diverge, because the corresponding limit does not exist. O C. It will converge, because the corresponding limit exists. O D. It will diverge because the corresponding limit exists.Select the correct answer. Find the derivative of f(x ) = tan O A. 1 - x4 4+x2 O B. 12 1 x 4 1 1+ x2 OC. 3 4x 1+X- OD. col CO 4x4 1+ x