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![@ @ SH)= 3tcoolt) + 4+2 velocity SH) VW d (st cost f 4+2) dt VH) = 31 t. 4-sint) + tøst] + 8+ VID) 3 - 3 t Sint +3 Copt+8+ s](http://img.homeworklib.com/questions/f43961c0-e0d1-11ea-b2b8-2dbc5e3632ba.png?x-oss-process=image/resize,w_560)
![80 acceleration at (t = 20$ a (en) 6 acceleration VIH act) d (-34 Sint +3 cost+8+) dt alt = -3 -3[tfast + Sint] +3(-sint) +?](http://img.homeworklib.com/questions/f58edfa0-e0d1-11ea-aa46-450fde60f27d.png?x-oss-process=image/resize,w_560)
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by differentiating implicitly. Express your answers in terms 5. (2 marks) Find of x and y....
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. (2 marks) If y = 3x and x changes from 1.2 to 2.5: a) What...
1. (2 marks) If y = 3x and x changes from 1.2 to 2.5: a) What is the average change in y? b) What is the instantaneous rate of change in y when x = 2.0? 2. (2 marks) The value "V" (in dollars) of a new laptop t years after it is purchased is given by the function: V(t) = 899.95e -0.71 a) What is the average rate of change of the value during the first two years? Round...
dy/ 1. Find 7dx by differentiating 2x2y = x - 3y2 implicitly. (8 pt) 2. Find...
dy/ 1. Find 7dx by differentiating 2x2y = x - 3y2 implicitly. (8 pt) 2. Find dx if y = 4x -3x (6 pt) 3. Find dx if y = cos(x2) (6 pt)
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...
Name: Show your work for full credit!!! 1. If the position function for a moving particle...
Name: Show your work for full credit!!! 1. If the position function for a moving particle is s(t) = (9 sin (5).-3 cos (5) + 1, 66°/2 + 4), where distances are in meters and r is in seconds, find the speed of the particle when t = 6. Give the simplified exact result or round accurately to 4 decimal places, and include the units with your answer. 2. A small spacecraft is maneuvering near an orbital space station. At...
If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t - 1.86t^2.
If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t - 1.86t^2.(a) Find the velocity of the rock after two seconds.(b) Find the velocity of the rock when t = a.(c) When will the rock hit the surface? (Round your answer to one decimal place.)(d) With what velocity will the rock hit the surface?
Find all values of x satisfying the given conditions. y = 2(3x - 5) - 2,...
Find all values of x satisfying the given conditions. y = 2(3x - 5) - 2, yz = 2(x - 4)+4, y1 = y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The value(s) of x for which y, = y, is/are { }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. y = y for all values of x....
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
The wave equation can be written as:∂^2 y/∂x^2 = 1/v^2 (∂^2 y /∂t^2) where y =...
The wave equation can be written as:∂^2 y/∂x^2 = 1/v^2 (∂^2 y /∂t^2) where y = y(x,t) has units of meters, x is also in meters, and t is in seconds. (a) Show explicitly that the function y(x,t) = ymsin(kx)cos(wt) satisfies the wave equation (6 points). (b) Is the function for y = y(x,t) describe a traveling wave? You must explain your answer to get full credit (2 points). 8. On a winter day with a temperature of Tc, the...
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) =...
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....
1. (2 marks) If y = 3x and x changes from 1.2 to 2.5: a) What is the average change in y? b) What is the instantaneous rate of change in y when x = 2.0? 2. (2 marks) The value "V" (in dollars) of a new laptop t years after it is purchased is given by the function: V(t) = 899.95e -0.71 a) What is the average rate of change of the value during the first two years? Round...
dy/ 1. Find 7dx by differentiating 2x2y = x - 3y2 implicitly. (8 pt) 2. Find dx if y = 4x -3x (6 pt) 3. Find dx if y = cos(x2) (6 pt)
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...
Name: Show your work for full credit!!! 1. If the position function for a moving particle is s(t) = (9 sin (5).-3 cos (5) + 1, 66°/2 + 4), where distances are in meters and r is in seconds, find the speed of the particle when t = 6. Give the simplified exact result or round accurately to 4 decimal places, and include the units with your answer. 2. A small spacecraft is maneuvering near an orbital space station. At...
Find all values of x satisfying the given conditions. y = 2(3x - 5) - 2, yz = 2(x - 4)+4, y1 = y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The value(s) of x for which y, = y, is/are { }. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. y = y for all values of x....
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....
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