At what points will the line y = -2x intersect the unit circle x2 +y2 =1 ?

Q: Find an equation of the tangent to the circle x2+y2=36 at the point (5,3)

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

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

A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From…

Q: Find the slope of the tangent line to the circle 4x² + 9y² = 36 at the point (0,2).

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Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Explain the steps required to find the length of a curve y = ƒ1x2 between x = a and x = b.

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Q: Find the exact length of the curve. 글 cosh(2x), sxs8 y = 4 +

A: Given:

Q: Find the point in the first quadrant where the line y=4x intersects a circle of radius 5 centered at…

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

Q: What is the length of the part of the curve y squared = (x-1) between the points (1,0) and (2,1)?

A: To find- Length of the part of the curve.

Q: a. Circle of radius 1 and centers on the line y = x

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Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4)

A: Equation of the tangent line

Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

Q: Find the distance from the point Q to the line ℓ.

A: Given: Q=0, 1, 0, l with equation xyz=111+t-203.

Q: At what point in the first quadrant does the line with equation y = 1.5x +3 intersect the circle…

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Q: Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin.…

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Q: find the equation of line tangent to the circle (x-1)2+(y-1)2=25 at the point (4,-3)

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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: For what values of a  and b  is the line 2x  + y = b tangent to the parabola y = ax 2   when x = 2

A: Given line is 2x+y=b Given line can be written as y=-2x+b On comparing with equation of line y=mx+c,…

Q: At what points will the line y = x intersect the unit circle x2 + y2 = 1? (x, y) = (smaller x-value)…

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Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: What equation is tangent to the circle (x-4)+ (y-2)- 25 at the point (8,5)?

A: We have to find the equation of the tangent to the circle x-42+y-22=25 at the point 8,5.

Q: Find the exact length of the curve. 36y2 = (x² – 4)³, 4 < x < 9,

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Q: Find the equation of the circle tangent to 3x+y+14=0 and x+3y+10=0 with radius square root of 10

A: A tangent to a circle is perpendicular to the radius vector on the point of contact. To find the…

Q: What equation is tangent to the circle (x-4)² + (y- 2)* = 25 at the point (8,5)?

A: concepts remember for this question are; 1. The general equation of a straight line is y = mx + c,…

Q: at what point do the line intersect on the unit circle

A: The given line is,

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A: To find the points at which tangent line is horizontal , y' =0.

Q: The center is at (5,-11), and it is tangent to the x-axis.

A: Given that, the center of the circle is (5,-11) and it is tangent to the x-axis.   So, the altitude…

Q: Find the exact length of the curve. y = 5 + cosh (2x), 0≤x≤ 7

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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: With center on the line y = 2x – 13 and tangent to the line y = - 3x + 57 at (16, 9)

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Q: What equation is tangent to the circle (x-4)^2 + (y-2)^2=25 at the point (8,5)?

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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). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

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Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

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Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0 sts 4

A: We find dx/dt and dy/dt

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: Find the exact length of the curve. 36y2 = (x² – 4)3, 2 < x < 9,

A: Given:  36y2 = (x2 - 4)3 , 2≤x≤9,y &gt;= 0

Q: At what part of the curve 2x2 + y? = 8 does it assume the highest value?

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Q: At what points do the curves y=x2 and y=√x intersect? Find the angles of intersection between the…

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Q: What equation is tangent to the circle(x-4)^2 + (y-2)^2  at the point (8,5)?

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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 = 4?

A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…

Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

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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 = 4? a = b…

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Q: Find the length of the curve x = et - t, y = 4et/2, -8 ≤ t ≤ 3.

A: Consider the following: Given parametric equations are: x=et−ty=4et2−8≤t≤3

Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

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Q: Find the equations of the tangents to the circle x² + y² = 9 with slope 1

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Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…

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