The point P = (x, ) V3 lies on the unit circle shown below. What is the value of x in simplest form? P (x, y) (1, 0)

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A: Given that  A tangent to the circe x^2+y^2=5 at the point (1, 2)

Q: 13. Find the equation of a circle with center (-4,3) and radius V12. A. (x-4)° +(y+3)' = V12 в.…

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Q: How to find a termianl point (x,y) on a unit circle when given the value of t. t=5pi/2

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Q: The graph of x+y = 4 is an ordinary right cireular cylinder. Indicate axis of the eylinder lies…

A: The equation of right circular cylinder is given by  x2+y2=4

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Q: 5. Determine the value(s) of k such that the circle x² + (y – 6)² = 36 and the parabola r? = 4ky…

A: we have to find the value of k. the solution is following.

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Q: The figure shows a lamp located three units to the right ofthe y-axis and a shadow created by the…

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Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Consider the given equation as x=t3....(1) And y=t2....(2)

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Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 2. y = (x2 – 3)2

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Q: Given that A = V ellipue x? a5xdy-ydxfinel +G adea of +y =1.

A: Given that area A = 12∫xdy - ydx  equation of the ellipse is,x24+y29 = 1this can be written…

Q: 1. Find the center and radius of circle x2 + y--2x-4y+1= 0.

A: 1) To find the center and radius of circle x²+y²-2x-4y+1=0

Q: 3. The distance between two distinct points (x1, y1) and (x2, y2) is given by the formula

A: Given: Points x1, y1 and x2, y2

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Q: 4. An equation of a circle written in the form x + y + Ax + By + C = 0 is called the equation of a…

A: Given, An equation of a circle written in the form x2+y2+Ax+By+C=0 is called the _________ form of…

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Q: Find the exact length of the curve. y2 = 16(x + 3)3,   0 ≤ x ≤ 3,  y > 0

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Q: 4 Find a. the equations of the tangents to the circle x + y? +4x-2y-24 = 0 at the points where the…

A: 4(a). The given equation of circle is: x2+y2+4x-2y-24=0

Q: 2 Find the points on the cone z = x´ + y´ that are closest to the point (2,-3,0)

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Q: V3 The point P = X, lies on the unit circle shown below. What is the value of 2 x in simplest form?…

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Q: x + y - 16x + 18y + 109 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

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Q: (b) Show that the origin is a node, cusp or an isolated point on the curve y? = ax? + bx3 according…

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Q: The diagram shows part of the curve y? = x+1 which intersects the axes at A and B. The area of the…

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0)

Q: XXI. Determine the equation of a circle whose center is at (4, 5) and tangent to the circle whose…

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Q: The graph of x + z² = 1 is an ordinary right circular cylinder. Indicate axis of the cylinder lies…

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: () X+Cy-1)=1 of the circle y=-l calkulate 2. the area of the surface formed by rotating it around…

A: Given equation of circle:   X² + (y-1) ² = 1 Equation of line:   y= -1

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Q: The point (-1,0) lies on the circle x2+y2-4x+8y+k=0 . Find the radius of the circle.

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Q: Discuss the properties of the curve (w/ solution) and sketch fully: y = x?e-*

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Q: fc x2 dx+x2 dy C consists of the arc of the circle x2 +y2 = 4 from (2,0) to (0,2) followed by the…

A: Given integral is ∫Cx2dx+y2dy from the point (2, 0) to (0, 2) by the line segment from (0, 2) to (4,…

Q: 2. Find the center and radius. Then sketch circle. x² + y? +8x-2y+15 = 0 24ニ(7ート)ナっけ) (12-ット)+ (8す2)

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Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81. Find the…

A: Given,           The line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81.We know that,y = mx + c…

Q: A bowl is in the shape of the graph of z = x2 + y2 from z = 0 to z = 10 in. You plan to calibrate…

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Q: A circle as an equation of x²+y²+2ky=0. Find the value of K when the length of the tangent from…

A: Equation of the circle :      x-h2 + y-k2 =r2 ; where , (h,k) is the center and 'r' is the radius.

Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.

Q: 2. Find the equation (in general form) of the tangent lines to the circle x² + y² - 8x + 10y = 128…

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