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5. Evaluate the area of the shaded region (inside the larger circle and outside the smaller one) ...
8. Set up a double integral to represent the area of the region inside the circle...
8. Set up a double integral to represent the area of the region inside the circle r= 3sin 0 and outside the cardioid r=1+sin 8. Use technology to evaluate the integral. Give the exact answer.
Use a double integral in polar coordinates to find the area of the region bounded on...
Use a double integral in polar
coordinates to find the area of the region bounded on the inside by
the circle of radius 5 and on the outside by the cardioid
r=5(1+cos(θ))r=5(1+cos(θ))
Circle Answer & Please Write Legibly. Express the area of the shaded region in terms of...
Circle Answer & Please Write Legibly.
Express the area of the shaded region in terms of (a) an integral with respect to x and (b) an integral with respect to y. You do not need to evaluate the integrals. y = x4 y= LY Express the shaded region as an integral with respect to x. A= dx 0 Express the shaded region as an integral with respect to y A= - Joay Enter your answer in each of the answer...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the ans...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the answer is 3v3.] [Answer: sf-i.] quadrant where r is maximum? (b) Find the area outside the circle r 2 but inside the curve r 1+2 sin(30) (c) What is the tangent line to the curve r-1+2sin(30) at the point...
4. Consider the area of the region that lies inside the curve given in polar form)...
4. Consider the area of the region that lies inside the curve given in polar form) by r = 6 sin(@) and outside the cardioid given by r=2+2 sin(0). (a) (3pts) Set up but do not evaluate an integral(s) which represents the area of this region. (b) (3.5pts) Evaluate this integral to determine the exact area of this region. (Hint: you will need to use a trig, identity)
Sketch the region and use a double integral to find the area of the region inside...
Sketch the region and use a double integral to find the area of
the region inside both the cardioid r=1+sin(theta) and
r=1+cos(theta).
I have worked through the problem twice and keep getting (3pi/4
- sqrt(2)). Can someone please explain how you arrive at, what they
say, is the correct answer?
Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa...
1. The area of the shaded region in the figure could be found by one or...
1. The area of the shaded region in the figure could be found by one or more integrals with respect to either .x or y. Use the graph to help answer the following: .. Does the integrat (w - V*)s give the area of the region? Explain why or why not. (3 pts.) YA lyx y=Vx b. Set up and evaluate a definite integral with respect to x to find the exact area of the shaded region (5 pts.)
13. Find the area of the shaded region
13. Find the area of the shaded region r2 = sin(2θ) 14. Find the area of the shaded region. r = 4 + 3sin(θ) 18. Find the area of the region that lies inside the first curve and outside the second curve. r = 7cos(θ), r = 3+ cos(θ) Need Help? Read It ss View Pre19. Find the area of the region that lies inside both curves. r = 5 sin(θ), r = 5 cos(θ)
Find the area of the region inside the cardioid r= 4-4sintheta and outside the the circle...
Find the area of the region inside the cardioid r= 4-4sintheta and outside the the circle r=6.
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/...
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
8. Set up a double integral to represent the area of the region inside the circle r= 3sin 0 and outside the cardioid r=1+sin 8. Use technology to evaluate the integral. Give the exact answer.
Use a double integral in polar
coordinates to find the area of the region bounded on the inside by
the circle of radius 5 and on the outside by the cardioid
r=5(1+cos(θ))r=5(1+cos(θ))
Circle Answer & Please Write Legibly.
Express the area of the shaded region in terms of (a) an integral with respect to x and (b) an integral with respect to y. You do not need to evaluate the integrals. y = x4 y= LY Express the shaded region as an integral with respect to x. A= dx 0 Express the shaded region as an integral with respect to y A= - Joay Enter your answer in each of the answer...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the answer is 3v3.] [Answer: sf-i.] quadrant where r is maximum? (b) Find the area outside the circle r 2 but inside the curve r 1+2 sin(30) (c) What is the tangent line to the curve r-1+2sin(30) at the point...
4. Consider the area of the region that lies inside the curve given in polar form) by r = 6 sin(@) and outside the cardioid given by r=2+2 sin(0). (a) (3pts) Set up but do not evaluate an integral(s) which represents the area of this region. (b) (3.5pts) Evaluate this integral to determine the exact area of this region. (Hint: you will need to use a trig, identity)
Sketch the region and use a double integral to find the area of
the region inside both the cardioid r=1+sin(theta) and
r=1+cos(theta).
I have worked through the problem twice and keep getting (3pi/4
- sqrt(2)). Can someone please explain how you arrive at, what they
say, is the correct answer?
Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa...
1. The area of the shaded region in the figure could be found by one or more integrals with respect to either .x or y. Use the graph to help answer the following: .. Does the integrat (w - V*)s give the area of the region? Explain why or why not. (3 pts.) YA lyx y=Vx b. Set up and evaluate a definite integral with respect to x to find the exact area of the shaded region (5 pts.)
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
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