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Choose the appropriate setup and value for A that would give the area that is inside...
6(6pts) Sketch the curve and find the area it encloses. (SETUP DO NOT EVALUATE) r=1-2 cos...
6(6pts) Sketch the curve and find the area it encloses. (SETUP DO NOT EVALUATE) r=1-2 cos 76pts) Find the area of the region that lies outside the first curves and inside the second curve. (SETUP DO NOT EVALUATE) r = 2 and r = 4cos
please solve it with polor coodinate graph 4. Find the area. a. Inside one leaf of the three-leaved rose cos30 r= b....
please solve it with polor coodinate graph
4. Find the area. a. Inside one leaf of the three-leaved rose cos30 r= b. Shared by the circle r 2 and the cardioid r 2(1+sin 0) c. Inside the circle r-3 cos 0 and outside the cardioid r=1 - cos0 d. Inside the circle r 4 sin0 and below the horizontal line r 3 csc e. Inside the outer loop of the limason r1-2 cos f. Inside the lemniscate 6 sin20 and...
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...
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)
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms o...
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms of (r,0) What are the coordinates of the same point in cartesians coordinates (x.y)? Give an equivalent version of the point in polar coordinates with r <o. What is the slope of of the tangent line to the circler 2...
2nd attached picture is problem 1 from HW 2 1. (10 Points Exam Extra Credit): Let's...
2nd attached picture is problem 1 from HW 2
1. (10 Points Exam Extra Credit): Let's revisit the problem of how to compute derivatives of basis vectors, which we did in Problem 1 of HWW2 (note: you will need to refer back to this HW at to do this problem). Consider the Laplacian operator, V2, in spherical coordinates. It looks like this, where the scalar (say V) goes into the 2) 10.2001 8801 VO - por l" or ) +...
pls do 3.30,3.31, and 3.32 give u thumbsup Fig.8-18 3.30 Show that 3t5 +108 4 15t...
pls do 3.30,3.31, and 3.32
give u thumbsup
Fig.8-18 3.30 Show that 3t5 +108 4 15t +1 is an allowable change of parameter for all t. 3.31 Find an allowable change of parameter which maps the interval 0<t2 onto 00. 3.32 Compute the length of the are x= et(cos t)e, + et(sin t)eg + eteg, 0 t T. Ans. 3(e-1) Referring to Problem 8.28, find are length as a function of e along the hypocycloid. 3.33. (TO-r) cos e +r...
need help with #8 and #13. w praxe ved at the way from the w orse...
need help with #8 and #13.
w praxe ved at the way from the w orse variables so that it to the positive text 8.6. Excercists sin 231 charged surface, S, of charge density p, the electrostatic po- cos 6. Given a charger social at & point (a,b,c) not on S is , %* wwward with vertex , 2 =2 2r m. s (-a)? + (y - 3)2+(2-cz. s is the cylindrical surface 3* + y = 4,03% ant find...
Please give solution of the second integral Find the average value of a function z=f(p, q)...
Please give solution of the second integral
Find the average value of a function z=f(p, q) defined over the plane bounded region R (See limits of integration to describe R): 2 S 2q2 sin pq dqdp, if (k1 + k2)mod 3 = 0) Z = p²ep9 dpdq, if (k1 + k2)mod 3 = 1 9 0 3 1 SA eq dqdp, if (k1 + k2)mod 3 = 2 p/3 Hint: (algorithm of solution): (a) Reverse the order of integration, if...
2. Consider the vector field F = (yz - eyiz sinx)i + (x2 + eyiz cosz)j...
2. Consider the vector field F = (yz - eyiz sinx)i + (x2 + eyiz cosz)j + (cy + eylz cos.) k. (a) Show that F is a gradient vector field by finding a function o such that F = Vº. (b) Show that F is conservative by showing for any loop C, which is a(t) for te (a, b) satisfying a(a) = a(6), ff.dr = $. 14. dr = 0. Hint: the explicit o from (a) is not needed....
6(6pts) Sketch the curve and find the area it encloses. (SETUP DO NOT EVALUATE) r=1-2 cos 76pts) Find the area of the region that lies outside the first curves and inside the second curve. (SETUP DO NOT EVALUATE) r = 2 and r = 4cos
please solve it with polor coodinate graph
4. Find the area. a. Inside one leaf of the three-leaved rose cos30 r= b. Shared by the circle r 2 and the cardioid r 2(1+sin 0) c. Inside the circle r-3 cos 0 and outside the cardioid r=1 - cos0 d. Inside the circle r 4 sin0 and below the horizontal line r 3 csc e. Inside the outer loop of the limason r1-2 cos f. Inside the lemniscate 6 sin20 and...
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...
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)
The region inside the curve r= 4 cos θ and outside the curve r = 2. r(t) 2 rt)4cos(t) -1 What are the coordinates of the point where the two circles intersect at the top of the picture in terms of (r,0) What are the coordinates of the same point in cartesians coordinates (x.y)? Give an equivalent version of the point in polar coordinates with r <o. What is the slope of of the tangent line to the circler 2...
2nd attached picture is problem 1 from HW 2
1. (10 Points Exam Extra Credit): Let's revisit the problem of how to compute derivatives of basis vectors, which we did in Problem 1 of HWW2 (note: you will need to refer back to this HW at to do this problem). Consider the Laplacian operator, V2, in spherical coordinates. It looks like this, where the scalar (say V) goes into the 2) 10.2001 8801 VO - por l" or ) +...
pls do 3.30,3.31, and 3.32
give u thumbsup
Fig.8-18 3.30 Show that 3t5 +108 4 15t +1 is an allowable change of parameter for all t. 3.31 Find an allowable change of parameter which maps the interval 0<t2 onto 00. 3.32 Compute the length of the are x= et(cos t)e, + et(sin t)eg + eteg, 0 t T. Ans. 3(e-1) Referring to Problem 8.28, find are length as a function of e along the hypocycloid. 3.33. (TO-r) cos e +r...
need help with #8 and #13.
w praxe ved at the way from the w orse variables so that it to the positive text 8.6. Excercists sin 231 charged surface, S, of charge density p, the electrostatic po- cos 6. Given a charger social at & point (a,b,c) not on S is , %* wwward with vertex , 2 =2 2r m. s (-a)? + (y - 3)2+(2-cz. s is the cylindrical surface 3* + y = 4,03% ant find...
Please give solution of the second integral
Find the average value of a function z=f(p, q) defined over the plane bounded region R (See limits of integration to describe R): 2 S 2q2 sin pq dqdp, if (k1 + k2)mod 3 = 0) Z = p²ep9 dpdq, if (k1 + k2)mod 3 = 1 9 0 3 1 SA eq dqdp, if (k1 + k2)mod 3 = 2 p/3 Hint: (algorithm of solution): (a) Reverse the order of integration, if...
2. Consider the vector field F = (yz - eyiz sinx)i + (x2 + eyiz cosz)j + (cy + eylz cos.) k. (a) Show that F is a gradient vector field by finding a function o such that F = Vº. (b) Show that F is conservative by showing for any loop C, which is a(t) for te (a, b) satisfying a(a) = a(6), ff.dr = $. 14. dr = 0. Hint: the explicit o from (a) is not needed....
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