A circle is specified by the Cartesian equation: (x – 2)² + (y – 6)² = 16. - %3D Find the equation of the tangent to the circle at the point where y = 6 and x > 4. Select one: O y= 6x + 6 not in the list O 6x+y D0 O y=6 x =6

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

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A: H

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Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: Find the center C ans radius r of the circle defined by the equation: +y? +2x-10y-6=0.

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Q: 3x + 3y? – 12x 30y – 60 = 0 is the equation of a circle with center (h, k) and radius r for: | h =…

A: See the details solution below

Q: (b) Sketch the graph of the function y = 1+ /16 – x²2 for -4 < x < 4. Hint: x2 + y? = 16 is the…

A: Consider the equation of the circle The graph can be plotted for the circle as

Q: 2+y 4x + 2y +1 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We use completing square method to convert it into standard equation of circle  Standard equation of…

Q: Find the center and radius of the circle defined by the equation given below. x2 + 2x + y? + 10y =…

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Q: x + y? – 14x + 6y + 54 = 0 is the equation of a circle with center (h, k) and radius r for: %3D h =…

A: Lets find radius r  and  center(h,k).

Q: Find the exact length of the curve. =글Vy (y-3), 16 <y< 25 X =

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Q: he circle is tangent to the y-axis and the center is at (-2,-8).

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Q: r (t) = is a line circle O helix parabola

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Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

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Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

A: Let's find.

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

Q: Find the exact length of the curve. Vy (y - 3), 16 < y < 25 X =

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…

A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: Which of the following equations describes a circle with radius 10 that passes through the origin…

A: Given : Equations of circle : A) (x - 5)2 + (y + 5)2 = 10 B) (x - 5)2 + (y + 5)2 = 100 C) (x -…

Q: 2x + 2y? + 20x + 4y + 20 = 0 is the equation of a circle with center (h, k) and radius r for: h and…

A: Given :  2x² + 2y² + 20x + 4y + 20 = 0 To find: center (h,k) and radius r?

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Q: Line t is tangent to the circle. Find mZ1 260 m/1:

A: Topic - circles

Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

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Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9

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Q: at is the equation of a circle with radius V5 and center (5,0)? A. (x + 5) + y? = v5 о в. (т +5)?…

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Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

Q: 6. Show that the line with equation y = 3x – 5 is a tangent to the circle with equation x² +y? + 2x…

A: Equation of line : y=3x-5 Equation of circle : x2 + y2 +2x -4y -5=0 We have to prove that the line…

Q: 2² + y? 14x + 10y + 10 = 0 is the equation of a circle with center (h, k) and radius r for:

A: Given : x2+y2-14x+10y+10 = 0

Q: Find the equation of a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

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: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: Find the exact length of the curve. y2 = 16(x + 5)3,   0 ≤ x ≤ 1,  y &gt; 0

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Q: 10. The radius of the circle with equation x² +y² – 10x + 12y + 41 = 0 is A 5V2 B 3V5 с 25 D 4V5

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Q: Find the equation of the circle tangent to the line 3x- 4y+ 6 = 0 at (2,3) and passing through (-1,…

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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

Q: The equation of a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

A: Consider the equation of circle in xy-plane given by x2+4x+y2-10y=20 If the line x=k intersect the…

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

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Q: (i) On the same diagram, sketch the eurves y? =-* and y x (ii) Find the exact r-coordinate of the…

A: The solution is given below in the next step:

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

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Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9…

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Q: Find the equation/s of the circle that has a radius of 5 and tangent to the  line 3x + 4y − 24 = 0…

A: The solution is given below

Q: 3x² + 3y² – 24x − 6y + 3 = 0 is the equation of a circle with center (h, k) and radius r for: h =…

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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: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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Q: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

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Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

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