Calculate by changing to polar coordinates. а) О 3пе4 - 3п - b) 0-3пе-4 + 3 3п c) 0-6пе d) O e) ( Зп 2 Зп + 6п + Зп 2 Зп 2 f) ( None of these. LLD needs СМ 3 e-(z²+y²) dx dy

Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: roo (b) Еxpress e-(2²+y²) dyd.r in terms of d.r, and hence compute e dr.

A: In this question, we express the integral as ∫-∞∞∫-∞∞e-x2-y2dydx  in term of ∫-∞∞e-x2dxand then…

Q: e-(2²+y²) dydI. Use polar coordinates to calculate Le) dydr.

A: In this question, we use the polar coordinate to evaluate the integral ∫-∞∞∫-∞∞e-x2-y2dydxwe…

Q: in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5,…

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Q: convert from rectangular to spherical coordinates.  (√3/2 ,3/2, 1)

A: Given Rectangular coordinates ;32,32,1

Q: Plot the points with polar coordinates 4, 5T 3T 4 27 3 RIM RAT 70 4 5π TO 2) ( 37) 25 and -5, TO 6 X…

A: The polar coordinate 4,-π6 and -5,5π3

Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: Convert the rectangular coordinates (V8, v8) to polar form (4, ) a. O b. (2, ) (4. ) O C. O d. (v2,…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: Which of the following points has the polar coordinates -4, 3 n/2 2n/3 R/3 3n/4 T/4 5n/6, 4 15 7n/6…

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Q: 10. Turn the next to the polar coordinates. a) 40-j40 b) 98+j45 c) 35-j20

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Q: 2 - y = 2 #8) A) Change equation x 4 to polar coordinates.

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Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: What is the image equation of the line 2x+y-1=O under the rotation about the point (1, -1) at an…

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Q: 8. 6. A 4 B 2 -8 -6 -4 -2 -2 -4 -6 -8 8, 4, 2.

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Q: Write the given parametric equations to rectangular equation by eliminating the parameter t. (Hint:…

A: To write given parametric equations to rectangular equations.