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Question 3 Evaluate Sſezx=3> 22x+3y dĀ where R is the region bounded by x = 0,...
17.3 Evaluate the following integral: SSR cosh(x + y)dA where R is the region bounded by...
17.3 Evaluate the following integral: SSR cosh(x + y)dA where R is the region bounded by x > 0, y = 0 and the line x + 2y = 2.
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y =...
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
х Evaluate SS arctan arctandA, where the region bounded by x2 + y 21, x² +...
х Evaluate SS arctan arctandA, where the region bounded by x2 + y 21, x² + y2 <4 and O sysx. Select one: a. 16 b. 3л 16 c. 37 8 377 64 3712 32 e
14) Determine the volume of the solid obtained by rotating the region bounded by y =...
14) Determine the volume of the solid obtained by rotating the region bounded by y = 4.r and yrr about y-axis. Assume that r> 0.
where 7 is the region defined by >0, y >0, >0, r+y+z<3.
where 7 is the region defined by >0, y >0, >0, r+y+z<3.
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region...
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
Question 3 Evaluate ydA where R is the region bounded by y' = 4x and x'-...
Question 3 Evaluate ydA where R is the region bounded by y' = 4x and x'- R (10 marks)
3. Suppose x,y,z satisfy the competing species equations <(6 - 2x – 3y - 2) y(7...
3. Suppose x,y,z satisfy the competing species equations <(6 - 2x – 3y - 2) y(7 - 2x - 3y - 22) z(5 - 2x - y -22) (a) (6 points) Find the critical point (0,Ye, ze) where ye, we >0, and sketch the nullclines and direction arrows in the yz-plane. (b) (6 points) Determine if (0, yc, ze) is stable. (c) (8 points) Determine if the critical point (2,0,0) is stable, where I > 0.
Find a polar equation of the form r = f(@), where r > 0, for the...
Find a polar equation of the form r = f(@), where r > 0, for the curve represented by the Cartesian equation x2 + y2 = 9. Note: Since is not a symbol on your keyboard, use t in place of 0 in your answer. =
Using a triple integral, calculate the volume of the region in the first octant (x >...
Using a triple integral, calculate the volume of the region in the first octant (x > 0, y 20, z > 0), bounded by the two cylinders z2 + y2 = 4 and c? + y2 = 4.
17.3 Evaluate the following integral: SSR cosh(x + y)dA where R is the region bounded by x > 0, y = 0 and the line x + 2y = 2.
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
х Evaluate SS arctan arctandA, where the region bounded by x2 + y 21, x² + y2 <4 and O sysx. Select one: a. 16 b. 3л 16 c. 37 8 377 64 3712 32 e
14) Determine the volume of the solid obtained by rotating the region bounded by y = 4.r and yrr about y-axis. Assume that r> 0.
where 7 is the region defined by >0, y >0, >0, r+y+z<3.
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
Question 3 Evaluate ydA where R is the region bounded by y' = 4x and x'- R (10 marks)
3. Suppose x,y,z satisfy the competing species equations <(6 - 2x – 3y - 2) y(7 - 2x - 3y - 22) z(5 - 2x - y -22) (a) (6 points) Find the critical point (0,Ye, ze) where ye, we >0, and sketch the nullclines and direction arrows in the yz-plane. (b) (6 points) Determine if (0, yc, ze) is stable. (c) (8 points) Determine if the critical point (2,0,0) is stable, where I > 0.
Find a polar equation of the form r = f(@), where r > 0, for the curve represented by the Cartesian equation x2 + y2 = 9. Note: Since is not a symbol on your keyboard, use t in place of 0 in your answer. =
Using a triple integral, calculate the volume of the region in the first octant (x > 0, y 20, z > 0), bounded by the two cylinders z2 + y2 = 4 and c? + y2 = 4.
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