Please answer both parts and write neatly
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Please answer both parts and write neatly
3x - y + 4 4. Let h(x, y)...
Find the volume generated by revolving about the x-axis, the region enclosed by y=x^2+1 and 3x−2y=−4 Be sure to draw the region in the x-y plane, label the axis of revolution, state your method (disc...
Find the volume generated by revolving about the x-axis, the region enclosed by y=x^2+1 and 3x−2y=−4 Be sure to draw the region in the x-y plane, label the axis of revolution, state your method (disc or shell), draw a rectangle to be rotated, label the thickness (dx or dy), state the integral, and sketch the resulting 3D shape. State the volume exactly. show all work please.
(c) Let F be the vector field on R given by F(x, y, z) = (2x...
(c) Let F be the vector field on R given by F(x, y, z) = (2x +3y, z, 3y + z). (i) Calculate the divergence of F and the curl of F (ii) Let V be the region in IR enclosed by the plane I +2y +z S denote the closed surface that is the boundary of this region V. Sketch a picture of V and S. Then, using the Divergence Theorem, or otherwise, calculate 3 and the XY, YZ...
Answer All Questions. (9) Let f(x,y) = 1+ 4- y2. Evaluate f(3,1), find and sketch the...
Answer All Questions.
(9) Let f(x,y) = 1+ 4- y2. Evaluate f(3,1), find and sketch the domain of f. (10) A thin metal plate, located in the xy-plane, has temperature T(x,y) at the point (x,y). The level curves of T are called isothermals because at all points on such a curve the temperature is the same. Sketch some isothermals if the temperature function is given by 100 T(x, y) = 1 + x2 + 2y2 (11) Show that lim (z2...
please type the answer or write the answer neatly! 4. Consider the differential equation y (y...
please type the answer or write the answer neatly!
4. Consider the differential equation y (y 1)(y2)(y-3) (a) Sketch a solution to the equation for the initial conditions y(0) = 1/2 and y(0) 3/2. (b) Let o be the solution to the equation passing through the point (0, 2.99). Find lim o(t). (Be sure to explain your reasoning.) t-oo
Please help with 1-10 and please show all work thanks. Show all of your work neatly,...
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the...
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the boundary of S with counterclockwise orientation when looking down from the z-axis. Verify Stokes' Theorem as follows. (a) (i) Sketch the surface S and the curve C. Indicate the orientation of C (ii) Use the...
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find th...
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find the area of the region enclosed by the graph of these equations.(Use symbolic notation and fractions where needed.) area= (b), Let F be the equation y= sin(11 x), and let G be the equation y= cos(11 x). Find the area of the region enclosed by the graphs of these equations if 0 less than equal to x less...
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a....
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Please do #16 AND #17 parts in clear legible handwriting. Explain answers in clear work and detail. The final answers ar...
Please do #16 AND #17 parts in clear legible handwriting.
Explain answers in clear work and detail. The final answers are
provided for each part/problem to use as a reference to check work.
If both problems are not completely done, I WILL mark you down and
give a thumbs down. Thank you
16) Sketch the region of integration and evaluate by changing to eV2x-x 1 dy dx 2-In(1+ 2) polar coordinates. 17) Let E be the region above the sphere...
(c) Let F be the vector field on R given by F(x, y, z) = (2x +3y, z, 3y + z). (i) Calculate the divergence of F and the curl of F (ii) Let V be the region in IR enclosed by the plane I +2y +z S denote the closed surface that is the boundary of this region V. Sketch a picture of V and S. Then, using the Divergence Theorem, or otherwise, calculate 3 and the XY, YZ...
Answer All Questions.
(9) Let f(x,y) = 1+ 4- y2. Evaluate f(3,1), find and sketch the domain of f. (10) A thin metal plate, located in the xy-plane, has temperature T(x,y) at the point (x,y). The level curves of T are called isothermals because at all points on such a curve the temperature is the same. Sketch some isothermals if the temperature function is given by 100 T(x, y) = 1 + x2 + 2y2 (11) Show that lim (z2...
please type the answer or write the answer neatly!
4. Consider the differential equation y (y 1)(y2)(y-3) (a) Sketch a solution to the equation for the initial conditions y(0) = 1/2 and y(0) 3/2. (b) Let o be the solution to the equation passing through the point (0, 2.99). Find lim o(t). (Be sure to explain your reasoning.) t-oo
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the boundary of S with counterclockwise orientation when looking down from the z-axis. Verify Stokes' Theorem as follows. (a) (i) Sketch the surface S and the curve C. Indicate the orientation of C (ii) Use the...
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Please do #16 AND #17 parts in clear legible handwriting.
Explain answers in clear work and detail. The final answers are
provided for each part/problem to use as a reference to check work.
If both problems are not completely done, I WILL mark you down and
give a thumbs down. Thank you
16) Sketch the region of integration and evaluate by changing to eV2x-x 1 dy dx 2-In(1+ 2) polar coordinates. 17) Let E be the region above the sphere...
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