3 5. The unit circle is the circle of radius 1 whose center is the origin (0, 0). The equation that defines the unit circle is ² +y° = 1. 1 Suppose a point is in quadrant III is on the unit circle. If its r-coordinate is -- 5 find the exact value of its y-coordinate. (Decimal approximations will NOT be accepted.)

Q: 8. Suppose the earth is a sphere with equation r + y?+ 22 1. On this earth, Edmonton has coordinates…

A: Draw a rough diagram of both the places and the intersection of the tangent from both the places.…

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A:

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Q: 13-Find the terminal point  P(x, y) on the unit circle determined by the given value of t. t = −…

A: Coordinates  of the terminal point would be    x=cos -2π3, y=sin  -2π3

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Q: A circle is centered at (5, -4) and has radius 6. Write its equation in standard form. O A…

A: The standard form of equation of circle is given below: x-h2+y-k2=r2 where, h,k is the coordinates…

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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…

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Q: o the circle of radius 2 centered at co.2.0) and lying in the (b) plane y=2 - the line through the…

A: Given that

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Q: Ex(4) A particle moves from point (-2,5) to y-axis in such a way that Ay = 3Ax. Find its new…

A: Solution is given below:

Q: 4. Find the coordinate of point X such that ratio of MX to XJ is 3:1.

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Q: If the distance from P(1, 0) to the point T(1 ) is x, determine the coordinates P(1,0) of the point…

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Q: 1. Find a cartesian equation for the curve r² sin 20 = 8.

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Q: . Find the exact coordinates of a point corresponding to 4pi/3 on a circle radius 10.

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Q: What angle does the tangent to the curve y(x) = sin? (x/9) + 15sin(x/9) at x = 9n make with the…

A: The tangent to a curve is given by dydx. we are given that y(x)=sin2(x9)+15 sin(x9) then dydx=29…

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A: In the question angle is given 42 degrees from point o to point A

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

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A: Given:

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A:

Q: Consider that the geometry of the arc for the billboard for the pool is following the hyperbolic…

A: As per bartleby guidelines, for more than one questions asked only one is to be answered,kindly…

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Q: 1. XY is the same as YX. 2. XY is the same as YX. 3. HAB and AC are opposite rays, then they are…

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

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A: For finding the points at which a function takes  maximum or minimum value, we need to solve the…

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A: Given  z2=x2+y2 let the P (5,2,0) and P (x,y,z) so, d = x-52+y-22+z-02 d=x-52+y-22+z2d=…

Q: 1. If a circle with center (r,9) in the second quadrant is tangent to the x- and y-axes, then, in…

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Q: 4. The tangent of the acute angle between the linesy = 4x – 3 and y = x - 5 is Tano 144() 13 3

A: Please rate

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

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Q: 4. The tangent of the acute angle between the lines y= 4x- 3 and y=x-5 is А. 5 В. C. 3 D. 5

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Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

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Q: 2. Find points P and Q on the parabola y = 1 – x? so that the triangle ABC formed by the r-axis and…

A: Given:  To find points P and Q on the parabola y=1-x2 so that the triangle ABC formed by the x‐axis…

Q: n the given question as follow, find the work done in pumping gasoline that weighs 42 pounds per…

A: We need following equations to find the required work done :               W = ∫ab F dx ..... (1)…

Q: 1 x = + 6 2y What is the length br of the portion of the graph of the between the points with y = 1,…

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Q: What angle does the tangent to the curve y(x) = sin² (x/9) + 13sin(x/9) at x = 9n make with the…

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Q: Evaluate fc (2 +x 2y ) ds, where is the upper half of the unit circle x2 y2 =1

A: We have to evaluate ∮C2+x2ydS   where C is the upper half of the unit circle x2+y2=1

Q: 2. A man is viewing a large oil painting which is on display at the Millenium Art Gallery. In order…

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Q: 8. Suppose the earth is a sphere with equation r2 + y? + 22 1. On this earth, Edmonton has…

A: Draw the diagram of the condition given. Now the point from which both the stations are visible is…

Q: b) Find the points on the curve 2 17x + 12xy + 8y“ = 100| that are farthest away from the origin…

A: Substitute x = rcosθ and y= rsinθ

Q: Find the cartesian equation of the curve

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Q: 5. Given X = 50.1, µ = 48.2, and o = 2.2, indicate on the curve where the given X %3D %3D value…

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Q: 4. Consider the circular helix given by 7(t) = (3 cos t, 3 sin t,4t). Give an equation for the…

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Q: 17. The tangent of the acute angle between the lines y = 4x – 3 and y = x – 2,is D

A:

Q: If C is a circle of radius 6 centered at the point ( 3, -2 ), then evaluate 6y – esin ( z ) ) dæ +…

A: Given if C is a circle of radius 6 centered at point 3,-2 then  We have to evaluate…