calculus 2 practice final exam with solutions

#Calculus 2 practice final exam with solutions tv

Elle dépend du paramètre h ℎ.ī) Déterminer tous les points d'équilibre du SDD. Le nombre d'individus par kilomètre carré de l'espèce satisfait le SDDĪ) Donner la fonction itérative du SDD. Soit une population qui croît selon la fonction intérative logistique et qui est récoltée à un taux constante h≥0 ℎ ≥ 0. Give aĭefinite integral that computes the volume of this solid by the shell method. (d) Consider the solid formed by revolving the region R around the axis x = −3. GiveĪ definite integral that computes the volume of this solid by the washer method. (c) Consider the solid formed by revolving the region R around the axis y = 0. (Do not evaluate the integral.) You don’t need to show your work. (b) Give a definite integral that computes the area of the region R enclosed by these twoĬurves. The value of a, just use “a” in the follow. Find two positive numbers whose sum is 300 and whose product is a maximum. Find the rate at which the profit is changing when the production level x is 1000 radios per week. The weekly profit P, in dollars, of a corporation is determined by the number x of radios produced per week, according to the formula P = 75x - 0 2 - 15,000. If at most 10,000 sets can be produced per week, how many sets should be made and sold to maximize the weekly profit? a.

#Calculus 2 practice final exam with solutions tv

The cost C (in dollars) of manufacturing and selling x TV sets per week is C = 1500 + 10x + 0 2. A manufacturer sells each of his TV sets for $85.

What rate is the distance between the two people changing 15 seconds later? Select one: c. At the same time one person starts to walk away from the elevator at a rate of 2 ft/sec and the other person starts going up in the elevator at a rate of 7 ft/sec. Determine the dimensions of the box that will minimize the cost. The cost of the material of the sides is $3/in 2 and the cost of the top and bottom is $15/in 2. 0 inch per minute Question 7Ĭomplete We want to build a box whose base length is 6 times the base width and the box will enclose 20 in 3. When the radius is 5 inches, how fast is the radius decreasing? Select one: a. Air is leaking out of a spherical balloon at the rate of 3 cubic inches per minute. Started on Wednesday, 7 October 2020, 9:08 PM State Finished Completed on Wednesday, 7 October 2020, 9:23 PM Time taken 14 mins 49 secs Marks 46/50. How fast is the volume increasing when there is 10 gallons of oil in the tank? Select one: a. The oil volume V, in gallons, after t minutes is given by V = 1 2 + 2t. If at most 10,000 sets can be produced per week, how many sets should be made and sold to maximize the weekly profit? c.

How fast is the water level rising when the level is 4 centimeters? a. The height of the cup is 10 centimeters and the radius of the base is 5 centimeters. A cone-shaped paper cup (see figure below) is being filled with water at the rate of 3 cubic centimeters per second. If the ice is melting in such a way that the area of the sheet is decreasing at a rate of 0 m 2 /sec at what rate is the radius decreasing when the area of the sheet is 12 m 2? d. A thin sheet of ice is in the form of a circle. For each additional P1,000 charged, however, 2 fewer seats will be sold. Experience shows that when a tour costs P28,000, all seats on the bus will be sold. towards the person at a rate of 1/3 m/s Question 5 towards the person at a rate of 1/2 m/s b. After 4 seconds of moving is the tip of the shadow moving towards or away from the person? a. A 2 meter tall person is initially 10 meters from the wall and is moving towards the wall at a rate of 0 m/sec. A light is mounted on a wall 5 meters above the ground. MATH- 6103 - 2013T(UGRD) Calculus 2 FINAL EXAM Started on Wednesday, 7 October 2020, 7:32 PM State Finished Completed on Wednesday, 7 October 2020, 8:07 PM Time taken 34 mins 49 secs Marks 46/50.