Homework Answers
Add Answer to:
Pt 3. The temperature (in C) at the point (r, y) (r and y are measured in em) is T(r.y). A bug cr...
The temperature at a point (x, y) is T(x,y), measured in degrees Celsius. A bug crawls...
The temperature at a point (x, y) is T(x,y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = 4 + t, y = 8 where x and y are measured in centimeters. The temperature function satisfies Tx(5, 9) = 2 and Ty(5, 9) = 7. How fast is the temperature rising on the bug's path after 21 seconds? Step 1 We know that the rate of change of the temperature...
(20p) The temperature function T(x,y) is defined as T(x,y) = cos(-) at a specified location. Here...
(20p) The temperature function T(x,y) is defined as T(x,y) = cos(-) at a specified location. Here x denotes the north direction and y denotes the east direction. So that Tx is the rate of change of the temperature with respect to distance if we travel north direction and Ty is the rate of change of the temperature with respect to distance if we travel east direction. Find the rate of change of temperature at the point ( 1) when we...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...
(a) The temperature T(x, y) at a point (x, y) on a plate is given by T(x, y) = 16 − x 2 − 2y 2 . ...
(a) The temperature T(x, y) at a point (x, y) on a plate is given by T(x, y) = 16 − x 2 − 2y 2 . i. What is the direction of greatest increase in temperature at the point P = (1, 3)? [3 marks] ii. What are the directions of zero change in temperature at the point P? [4 marks] iii. Find the path of greatest increase in temperature from the point P to the point of maximum...
(8 points) The temperature at a point (x, y, z) is given by T(x, y, z)...
(8 points) The temperature at a point (x, y, z) is given by T(x, y, z) = 1300e-x-2y-2? where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, -1, 2) in the direction toward the point Q(3,-3,3). Answer: Dp S(2.-1, 2) = 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
3. [8 marks] Assuming they do survive, a solar flare modifies the temperature field to be T-To [10-y -2(x-1)2+y] (a) Fi...
3. [8 marks] Assuming they do survive, a solar flare modifies the temperature field to be T-To [10-y -2(x-1)2+y] (a) Find the direction in which the crew must fly to get to a lower temperatune the fastest if they are at the point (4,3,2) (b) Suppose a rogue asteroid is blocking their path in that direction. How quickly will the temperature decrease (if at all) if they travel in the direction of (-1,-2,1)?
3. [8 marks] Assuming they do survive,...
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z)...
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z) = 200e-x=y+14–2–19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, 1,-1) in the direction toward the point (-4,-5, -5). In which direction...
true or false is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If...
true or false
is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If a unit vector u makes the angle of π/4 with the gradient ▽f(P), the directional derivative Duf(P) is equal to |Vf(P)I/2. F 12. There is a point on the hyperboloid 2 -y is parallel to the plane...
1. find the derivative of f(×,y)=-4yx^3+xy^2 at P(1,1) in forward direction set by the line r(t)=(1+sqrt(2)t+sqrt(2)t...
1. find the derivative of f(×,y)=-4yx^3+xy^2 at P(1,1) in forward direction set by the line r(t)=(1+sqrt(2)t+sqrt(2)t 2. find an equation for the tangent plain at point P x^3+y^3=3xyz P(2,1,3/2)
(1 point) Suppose y2 y2 3 3 2 2 y(t) = cie + cze [1] 1...
(1 point) Suppose y2 y2 3 3 2 2 y(t) = cie + cze [1] 1 y1 y1 [-1] 7(1) = [21] -3 -2 2 3 -3 -2 -1 1 2 3 -1 -2 -3 -3 (a) Find ci and C2 А B C1 = 1.3591 y2 y2 3 3 C2 = 0.1839 2 2 1 1 y1 y1 -2 -1 1 2 3 -3 -2 -1 1 2 3 (b) Sketch the phase plane trajectory that satisfies the given...
The temperature at a point (x, y) is T(x,y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = 4 + t, y = 8 where x and y are measured in centimeters. The temperature function satisfies Tx(5, 9) = 2 and Ty(5, 9) = 7. How fast is the temperature rising on the bug's path after 21 seconds? Step 1 We know that the rate of change of the temperature...
(20p) The temperature function T(x,y) is defined as T(x,y) = cos(-) at a specified location. Here x denotes the north direction and y denotes the east direction. So that Tx is the rate of change of the temperature with respect to distance if we travel north direction and Ty is the rate of change of the temperature with respect to distance if we travel east direction. Find the rate of change of temperature at the point ( 1) when we...
(1 point) Suppose f (r,y)= P = (1, -2) and v=3i - 3j. A. Find the gradient of 1 Uf = 1 it -x/y^2 Note: Your answers should be expressions of x and y, eg "3x - 4y" j j B. Find the gradient off at the point P. (VA)(P) = 1 i+ -2 Note: Your answers should be numbers C. Find the directional derivative off at P in the direction of v. Duf = 9 Note: Your answer should...
(8 points) The temperature at a point (x, y, z) is given by T(x, y, z) = 1300e-x-2y-2? where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, -1, 2) in the direction toward the point Q(3,-3,3). Answer: Dp S(2.-1, 2) = 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
3. [8 marks] Assuming they do survive, a solar flare modifies the temperature field to be T-To [10-y -2(x-1)2+y] (a) Find the direction in which the crew must fly to get to a lower temperatune the fastest if they are at the point (4,3,2) (b) Suppose a rogue asteroid is blocking their path in that direction. How quickly will the temperature decrease (if at all) if they travel in the direction of (-1,-2,1)?
3. [8 marks] Assuming they do survive,...
Problem 3. (1 point) The temperature at a point (X,Y,Z) is given by T(x, y, z) = 200e-x=y+14–2–19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector. Find the rate of change of the temperature at the point (-1, 1,-1) in the direction toward the point (-4,-5, -5). In which direction...
true or false
is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If a unit vector u makes the angle of π/4 with the gradient ▽f(P), the directional derivative Duf(P) is equal to |Vf(P)I/2. F 12. There is a point on the hyperboloid 2 -y is parallel to the plane...
(1 point) Suppose y2 y2 3 3 2 2 y(t) = cie + cze [1] 1 y1 y1 [-1] 7(1) = [21] -3 -2 2 3 -3 -2 -1 1 2 3 -1 -2 -3 -3 (a) Find ci and C2 А B C1 = 1.3591 y2 y2 3 3 C2 = 0.1839 2 2 1 1 y1 y1 -2 -1 1 2 3 -3 -2 -1 1 2 3 (b) Sketch the phase plane trajectory that satisfies the given...
Most questions answered within 3 hours.
-
> Women’s pulse rates are normally distributed with a mean of
68.5 beats per minute and...
asked 12 seconds from now -
Briefly describe an aspect of the strengths perspective that is
consistent with your own understanding of...
asked 1 minute ago -
Step by step method of using Sparse Identification of Nonlinear
Dynamics (SINDy) to model your own...
asked 9 minutes ago -
3) What are the typical social structures in a global city?
asked 3 hours ago -
Luther Corporation
Consolidated Balance Sheet
December 31, 2019 and 2018 (in $ millions)
Assets
2019
2018...
asked 3 hours ago -
(Expected rate of return and risk) Carter Inc. is evaluating a
security. Calculate the investment’s expected...
asked 5 hours ago -
What specific indicators can point to lack of progress for
African Americans in American society?
asked 6 hours ago -
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 7 hours ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 7 hours ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 8 hours ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 8 hours ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 9 hours ago