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• ### 1) Given the following iterated integral. ex/ydA R= y = 4x, y = -x,y = 8...

1) Given the following iterated integral. ex/ydA R= y = 4x, y = -x,y = 8 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (1.25 point) Evaluate the definite integral with the given function over the bounded region R.

• ### Given the following iterated integral. ex/yda exty R = y = 4x, y = -x, y...

Given the following iterated integral. ex/yda exty R = y = 4x, y = -x, y = 8 a) Sketch the bounded region R. Label your graph. b) Evaluate the definite integral with the given function over the bounded region R.

• ### 1) Given the following iterated integral. ex/Y DA R = y = 4x, y = -xy...

1) Given the following iterated integral. ex/Y DA R = y = 4x, y = -xy = 8 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (1.25 point) Evaluate the definite integral with the given function over the bounded region R.

• ### 1) Given the following iterated integral. Sex exlyda R R = y = 4x, y =...

1) Given the following iterated integral. Sex exlyda R R = y = 4x, y = -x,y = 8 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (1.25 point) Evaluate the definite integral with the given function over the bounded region R.

• ### . Show all of your work. o Label the axes and scale on your graph. The...

. Show all of your work. o Label the axes and scale on your graph. The sketch should include at least three to five points including the points of intersection and at least one point in between • The integration techniques used should be clear and easy to follow step by step with all techniques shown in detail, including the substitution method. o All steps must be shown in your own writing to receive any credit. Circle or box your...

• ### 2) The region R is bounded by the x-axis and y = V16 - x2 a)...

2) The region R is bounded by the x-axis and y = V16 - x2 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Ry region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. sec(x2 + y2) tan(x2 + y2) dA R

• ### 2) The region R is bounded by the x-axis and y = V16 - x2 a)...

2) The region R is bounded by the x-axis and y = V16 - x2 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Rx region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. sec(x2 + y2) tan(x2 + y2) dA R

• ### 2) The region R is bounded by the x-axis and y = V16 – x2. a)...

2) The region R is bounded by the x-axis and y = V16 – x2. a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Rx region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. S sec(x2 + y2) tan(x2 + y2) da R

• ### 2) The region R is bounded by the x-axis and y = V16 – x2 a)...

2) The region R is bounded by the x-axis and y = V16 – x2 a) (0.75 point) Sketch the bounded region R. Label your graph. b) (0.75 point) Set up the iterated integral to solve for the area of the bounded region using either the Rx region or Ry region. Do not integrate. c) (1.25 point) Evaluate the integral using polar coordinates for the region R. S sec(x2 + y2) tan(x2 + y2) da R

• ### 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)