Homework Answers
6. (2 marks) The position of an object "S" (in meters) at time t is given...
6. (2 marks) The position of an object "S" (in meters) at time t is given by the function: s(t) = (3) cos(t) + 41? a) What is the velocity when t = 27 seconds? Indicate the correct units and round your answer to one decimal place. b) What is the acceleration when 1 = 27 seconds? Indicate the correct units and round your answer to one decimal place. 7. (4 marks) Solve the following related rates problems: a) A...
Understanding Physical Science 14.5: A. A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second, ho...
Understanding Physical Science 14.5: A. A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 2 feet from the wall? The top of the ladder is moving down at a rate of ___ feet/second when the foot of the ladder is 2 feet from the wall....
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work....
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work. Label your answers with the proper units. (3 points each ) A spherical ball is being inflated at the rate of 12 cubic inches per second. Find the rate at which the radius of the sphere is growing when the radius is 2 inches. long. 2. A 13 foot ladder is leaning against a wall. The base of the ladder is being palled away...
1. Let A be the surface area of a cube with side s at time t....
1. Let A be the surface area of a cube with side s at time t. a) If the side changes at a rate of 3.0 cm/min, at what rate is the cube's surface area changing when the side is 25 cm? b) If the side changes at a rate of -5.0 cm/min, what is the side of the cube when the surface area is changing at a rate of -240 cm2 /min? 2. Find dy/dx by differentiating implicitly. Express...
1. If a ball is thrown vertically upward with a certain velocity, its height (in feet)...
1. If a ball is thrown vertically upward with a certain velocity, its height (in feet) after t seconds is s(t) = 28t - 4tº. Answer the following questions with correct units. (a) Find the velocity and acceleration of the ball after 2 sec? (b) What is the maximum height reached by the ball? (c) Determine the velocity of the ball when it hits the ground. 4 6 6 6 6 2. Find the derivatives of the following functions. You...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the instantaneous rate of change of its surface area (SA = 4nr2) with respect to its radius r when r = 10cm b) At another time, the instantaneous rate of change is 481 cm2/cm. What is the Surface Area of the balloon at this time?
Question 18: A fungus is spreading on the surface of a wall. A biologist proposes a...
Question 18: A fungus is spreading on the surface of a wall. A biologist proposes a model for the rate at which the fungus is spreading on the wall. The total surface area of the wall is 9 m². The surface area that is affected at time t hours is x m². The biologist proposes that the rate of change of x is proportional to the product of the surface area that is affected and the surface area that is...
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A....
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A. , 8/5 B. 2, 64/3 C. , 5/4 D. 1/8,5 5. What is the area within the curve r2 16 cos 0? C. 30 A. 26 B. 28 D. 32 6. A uniform chain the weighs 0.50 kg per meter has a leaky 15-liter bucket attached to it. If the bucket is full of liquid when 30...
(1 pt) Suppose that f(x) = x(ln(x))19. Find f'(2)| f'(2) = (1 pt) A 18| ft...
(1 pt) Suppose that f(x) = x(ln(x))19. Find f'(2)| f'(2) = (1 pt) A 18| ft ladder leans against a wall. The bottom of the ladder is 3] ft from the wall at time t = and slides away from the wall at a rate of 3ft/sec|. Find the velocity of the top of the ladder at time t = 2. The velocity of ladder at time t = 2 is TTC. (1 pt) A hot air balloon rising vertically...
just the 3 boxes I got wrong, and just the answer. You do have to show...
just the 3 boxes I got wrong, and just the
answer. You do have to show your work
MY NOTES 1.5/3.5 POINTS PREVIOUS ANSWERS LARCALC9 2.6.025. A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is given below? 15 feet away from the...
6. (2 marks) The position of an object "S" (in meters) at time t is given by the function: s(t) = (3) cos(t) + 41? a) What is the velocity when t = 27 seconds? Indicate the correct units and round your answer to one decimal place. b) What is the acceleration when 1 = 27 seconds? Indicate the correct units and round your answer to one decimal place. 7. (4 marks) Solve the following related rates problems: a) A...
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work. Label your answers with the proper units. (3 points each ) A spherical ball is being inflated at the rate of 12 cubic inches per second. Find the rate at which the radius of the sphere is growing when the radius is 2 inches. long. 2. A 13 foot ladder is leaning against a wall. The base of the ladder is being palled away...
1. If a ball is thrown vertically upward with a certain velocity, its height (in feet) after t seconds is s(t) = 28t - 4tº. Answer the following questions with correct units. (a) Find the velocity and acceleration of the ball after 2 sec? (b) What is the maximum height reached by the ball? (c) Determine the velocity of the ball when it hits the ground. 4 6 6 6 6 2. Find the derivatives of the following functions. You...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the instantaneous rate of change of its surface area (SA = 4nr2) with respect to its radius r when r = 10cm b) At another time, the instantaneous rate of change is 481 cm2/cm. What is the Surface Area of the balloon at this time?
Question 18: A fungus is spreading on the surface of a wall. A biologist proposes a model for the rate at which the fungus is spreading on the wall. The total surface area of the wall is 9 m². The surface area that is affected at time t hours is x m². The biologist proposes that the rate of change of x is proportional to the product of the surface area that is affected and the surface area that is...
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A. , 8/5 B. 2, 64/3 C. , 5/4 D. 1/8,5 5. What is the area within the curve r2 16 cos 0? C. 30 A. 26 B. 28 D. 32 6. A uniform chain the weighs 0.50 kg per meter has a leaky 15-liter bucket attached to it. If the bucket is full of liquid when 30...
(1 pt) Suppose that f(x) = x(ln(x))19. Find f'(2)| f'(2) = (1 pt) A 18| ft ladder leans against a wall. The bottom of the ladder is 3] ft from the wall at time t = and slides away from the wall at a rate of 3ft/sec|. Find the velocity of the top of the ladder at time t = 2. The velocity of ladder at time t = 2 is TTC. (1 pt) A hot air balloon rising vertically...
just the 3 boxes I got wrong, and just the
answer. You do have to show your work
MY NOTES 1.5/3.5 POINTS PREVIOUS ANSWERS LARCALC9 2.6.025. A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) What is the velocity of the top of the ladder when the base is given below? 15 feet away from the...
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