
PQRS is a kite. Enter coordinates for point S. P10,) da,o) R(O.-c) S([? ][ ]) Enter
Sketch the following region R. Then express S Sec.obda f(r,0)dA as an iterated integral over R. R The region inside the lobe of the lemniscate 2 = 5 sin 20 in the first quadrant. Sketch the region R. Choose the correct graph below. O A. OB. C. OD. Ау 4- лу 4- Ау 4- лу 4- 2 2- 2- 2- 2- o ♡ LY х х х P х 0- 04 0 0- 0 0 2 2 2. 4 o-...
The endpoints of RS are R(-5, 12) and S(4, -6). What are the coordinates of point t, which divides RS into a 45 ratio? O 14.-1) O(-1.4) O (22,-2.4) O (-2.4, 2.2)
2. Consider the set of curved coordinates t(t, s) in the plane R2(0,0) related to the Euclidian coordinates (r, y) by the transformations: 2 s2+ t . . t t ys , . (a) (10 points) Find Dx(t) := = (b) (5 points) Find the volume element dx dy expressed in the coordinates (s, t). Use that da dy detds dt 0(t,s) (c) bonus (10 points) Express the vector of first partial derivatives [, using the formula [a,,%) . via...
answer 9
9) The coordinates of the vertices of rhombus PQRS are P(-3,1), Q(2,6), Rix, y), and S(4,0). (a Find the numerical coordinates of point R. Show by means of coordinate geometry that PQ PS. c Show by means of coordinate geometry that diagonals PR and QS are perpen- dicular to each other.
The rectangular coordinates of a point are given. Find the polar coordinates (r.) of this point with expressed in radians. Letr> 0 and 0 se<21. (6, -6√3) The polar coordinates are (Type an ordered pair. Type exact answers for each coordinate, using A as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.) Enter your answer in the answer box. issie Type here to search of 9 FO F5 F6 ESC 8 + olen OO...
Evaluate the given integral by changing to polar coordinates. ∫∫R(4x − y) dA, where R is the region in the first quadrant enclosed by the circle x2 + y2 = 4 and the lines x = 0 and y = x.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
3. Evaluate the integral by changing to polar coordinates: SS (x+y) da R Where R is the region in quadrant 2 above the line y=-x and inside the circle x2 + y2 = 2.
(a) use polar Coordinates to evaluate cu Saty? dA, R is bounded by the Semicircle y = /2x - 7² and the line y=x.
The coordinates of a kite in the xy plane are x(t)=At and y(t)=3.0m -Bt2 where a=2.4m/s and B=1.2m/s2. Find vectors v(t), a(t) and magnitudes at 2.0s Possible Answers: ........1: vectors v(t)=A i - 2Bt j, a(t)= -2B j, and magnitude v(2.0s) = -4.8m/s ........2: vectors v(t)=A i - 4Bt j, a(t)= -2B j, and magnitude v(2.0s) = 4.8m/s ........3: None of the above