A 43-degree counterclockwise rotation about the origin sends the point P(5,12) to the point P'(x,y). Determine x and y, accurate to 3-decimal places (show drawings)

Q: a. sin y i + cos x b. хyz (хі+уј+zk)

A: Note that : Curl of the vector field describes it's rotation.

Q: Rectangle KLMN is translated -5 units vertically and then reflected over the y-axis. What…

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Q: Q2: -A meter stick in the x'y' plane makes angles of 45° with the x' and y' axes. O' and the meter…

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Q: Convert the point 4, (a) (√6, √6,2) (b) (√6,-√6,2) (c)(-√6, √6,2) (d) (-√6,-√6,2) π π R3 from…

A: The given spherical coordinate point .We have to convert this point into rectangular coordinate.

Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: 2) rotation 27e about the origin. (-y,x) ら s'( )フu V(, ) v' ( 4) rotation 90" about the origin

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Q: Convert the point (3, V5) from rectangular to polar coordinates with 0 < 0 s a/2. (Round your…

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Q: Represent as a parametric curve the rotation of a rod of length 2 that makes 1 full turn every 3…

A: Rotation in a plane, let it be xy- plane. There are two possibilities, center of rotation is the one…

Q: Find an equation of the circle with center at (-4,1) that is tangent to the y-axis in the form of…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

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Q: Find the coordinates of L" if ALMN with L(1, 2), M(-2, 6), and N(-1, 5) is rotated 90° about the…

A: Given: L(1,2) , M(-2,6), and N(-1,5)

Q: Find the parametric equation and sketch each curve. Include the domain a) A curve starting a t…

A: The objective is to determine the parametric equation and sketch each curve. [Including the…

Q: Find polar coordinates (r,\theta ) of the point in rectangular form given by

A: Topic:- polar coordinates

Q: Find the general soladtion of y+5y'=5

A: Given equation is y"+5y=5                          (1) Auxiliary equation to the homogeneous…

Q: A=X²i +2j ,B= 3 i +y²j -k Find : 1_ curl (A-B) . 2_ grad (A.B). 3_div (2A-B). Jo 9:59

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Q: The axes are rotated through an angle of л/3 in the anticlockwise direction with respect to (0, 0).…

A: The axes are rotated through an angle of   in the anticlockwise direction with respect ot (0,…

Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…

A: Here I am attaching image so that you understand each and every step.

Q: Q2) Evaluate the ffdx dy using polar coordinate.

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Q: find 2 differnet polar coordinates to describe the point (6, 2pi/3), one must have a negative r…

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Q: A particle moves to the left of the parabola. r=4/(1+cos theta) with constant speed of 4 ft/s. when…

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Q: 23. Rotate 90° clockwise about the origin. up 4+ 3+ H -5 4 32 r -2- -3- 4- F'(6, -2), G'(6, -5),…

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