Express the following points in Cartesian coordinates: (i) P(I, 60°, 2); and (ii) Q(2, 90°, -4).

Q: Write the equation in the general form of r=7/(1-cosθ) using rectangular coordinates.

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Q: Give the Cartesian coordinates of the following points: point A (r = 2, θ = 30degrees, φ =…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.

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Q: Identify the following by getting rid of the parameter and write a cartesian equivalent: x =…

A: Consider  x=−2+3cosθ, y=5−3sinθ

Q: Given the rectangular coordinates (-6,2) determine (r,θ). What is r=______. (round to 1 decimal)

A: r is obtained.

Q: In fig ,plot each point.Then plot the point that is symmetric to it with respect to (a) the…

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Q: Reflect the given triangle over the line y = -X. 0. -1 0. -3 -4

A: Given triangle  by the reflection over y=-x (x,y)→(-y,-x)

Q: Write the equation of the circle of radius 5 and center (3, 4) in the form r = a cos θ + b sin θ.

A: Given: Center =(3,4) Radius = acosθ+bsinθ

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

Q: B. C.

A: Given point A= (1,-2)

Q: Find the midpoint between the points (3+7i) and (-1+21i). Your answer will be an ordered pair. Enter…

A: Let us consider two  points x1,y1 and (x2,y2)  the mid point between two points is given by…

Q: Find the component form of v if = 2 and the angle it makes with the x-axis is 60°.

A: Component of a vector v is given by vx=vcosθ      and vy=vsinθ ,  where θ is the angle made with the…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||…

A: If you want answer for another question, kindly do upload that separately.

Q: Use the situation below to answer Part A and Part B. Circle Q has a center at (-2, -3) and circle R…

A: Given  Centre of circle Q is at -2,-3 and Centre of circle R is at 1,-1.

Q: In the figure, we see that mgs equation that relates r, s, and t if it is known that RSTV is a…

A: We have given that :mRS=mVT=0 and RSTV is a parallelogram . We have to find an equation which…

Q: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: Find the coordinates of the points that are 13 units away from the origin and have an x-coordinate…

A: Solution: Find the coordinates of the points that are 13 units away from the origin and have an…

Q: Determine the missing coordinate of the point (-1/7,y) that lies on the graph of the unit circle in…

A: Solution is given below:

Q: Find the angle between a and b where -6a+2b=2i+j-8k and 2a-b=3i-4j+k

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Q: The​ equation, with a restriction on​ x, is the terminal side of an angle θ in standard position.…

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Q: Find the coordinate of axes of a point when the direction of axes is turned through an angle y,…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Convert r= 3 sec e to its equivalent Cartesian equation.

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Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

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Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

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Q: What would the coordinates of A' be if the triangle graphed below was reflected across the x-axis?…

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Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position. 4x +…

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Q: the coordinates of the new point be? 2-

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Q: Write the corresponding rectangular equation by eliminating the parameter 0 x = 5 +3 sec 0 y = -3 +…

A: Solving the problem by eliminating the theta.

Q: The equationr= 3cot@csce, expressed in rectangular coordinates is given by: (a) y? = 3x (b)/3y = x2…

A: Relation between polar co-ordinate and rectangular co-ordinate x=rcosθy=rsinθx2+y2=r2θ=tan-1yx

Q: A(1,2), В(—1, —-1)

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Q: Convert the equation to rectangular form and sketch its graph. p? = sec? Otan 0

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Q: Which of the points (x, y) does NOT lie on the unit circle?

A: We have given four points and we have to check among these four points which points are not lie on…

Q: Find the rectangular coordinates (+. 풍) (x, y) = ( Y

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Q: Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​…

A: Consider the one end point and midpoint as (14, 16) and (15, 7).Let the other end point the line…

Q: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: Replace the Cartesian equation (x+ 4)² + (y- 2)2 = 25 with equivalent polar eauation

A: Ans :   we will convert this given cartesian equation in polar equation  by putting - x = r cosθ…

Q: Convert to rectangular coordinates: 1 = 2t- 1. y = t +2 for tin (-oo, o0)

A: Given: To convert into rectangular coordinates x=2t-1, y=t2+2 for t in (-∞, ∞)

Q: Find the x- and y-coordinates of the point C.

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Q: Given the center (−9,1)(−9,1) and the radius r=9r=9, identify the equation.

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Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position. 3x…

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Q: At what angle do the lines 2x + y + 3 = 0 and 3x - 4y – 12 = 0 intersect? Round your answer to the…

A: We have to find out

Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m+n= , 12+m2+n2=0

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: 1 2 X= (y+7)¯-1 2

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. a. π/3 b. 5π/3

A: a). The coordinates on the unit circle can be derived using: x, y=cosA, sinA Here A is the angle.…

Q: Find v if r=8ft and the point rotates at 12 rpm

A: Given       A point is  rotating on the circle of                Radius r = 8 ft           Rotates…

Q: Find the missing coordinate of the point, given that the point is in quadrant IV (₂ Oa). 5 √61 Ob)…

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Q: The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of…

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