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

Q: Determine the angle between the curves 2x=y2 and x2+y2-5x=0

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Q: Find the tangent plane to the equation 5e*- öy at the point (12, 24, 5).

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

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Q: ズ Find an equation of the tangent line to the curve y= 8 arccos at the point (1, 7). 2

A: we have to find the equation of the tangent to the curve y at (1, π)

Q: What is the equation of the tangent line to the circle x2 + y? = 34 at the point (5, 3)?

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Q: What are the coordinates of the points in the graph of y? – x² + 6x – 13 = 0 in which the tangent…

A: y2-x2+6x-13=0 --------------(1) Differentiating with respect to x ddxy2-x2+6x-13=ddx(0)…

Q: Find the equation of the locus of the center of the circle which moves so that it is tangent to the…

A: Find equation of locus :

Q: Find the equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the…

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes…

Q: (a) What is the equation of the line that is tangent to the circle of radius 9 at (0, – 9) and whose…

A: Given:  A circle x2 + y2 = 92.  ---------------------------------------------------------…

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

A: Equation of the tangent line

Q: Find the equation of the tangent line to the curve y = IVa at the point (16, 64). %3D y =

A: The standard form of the tangent line helps to find the required equation of the line. The standard…

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: On the same axes, plot the curve y = 1x, the line y = x/8, and the tangent line to y = 1x that is…

A: Given curve is y=x. Let x,y be any point on the curve. Differentiate function with respect to x.…

Q: Find the points where the line y=x4 intersects a circle of radius 2 centered at the origin. Give…

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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 on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

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: Find the slope of the tangent line to the circle x2+y2 = 4 at (1,-v3)

A: To find the slope of tangent line to the circle x2+y2=4 first find the derivative dydx.…

Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

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: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is perpendicular to the…

A: Given: The curve is y = 2x3 - 3x2 - 12x + 20 and the tangent line is perpendicular to the line y =…

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 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: Find the equation of the tangent line to the circle at the point (-3, -4). Equation of the circle *…

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Q: Use the guidelines of this section to sketch the curve. х — 6 y = x2

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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 coordinates of the point other than the origin where the equation x3 + y3 - 72xy = 0 has a…

A: W we have to solve

Q: Find the slope of the tangent line to the circle r = 4cosθ at the point where θ = π/4.

A: Given- r=4cosθ To Find- The slope of the tangent line to the given circle at the point θ=π4.

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: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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Q: Use the guideline of this section to sketch the curve 1. y = 1 + 1/x + 1/(x ^ 2)

A: To Sketch: y=1+1x+1x2 Explanation: (a). Domain and Range y=1+1x+1x2is defined everywhere except…

Q: Find the points of intersection of the circle C of radius 3 centered at (-1, -2) and the line L with…

A: Want to find:                         the points of intersection of the circle C of radius 3…

Q: Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

A: tangent

Q: determine the general form of equation of the line that is tangent to a unit circle at a point 30…

A: Given: An unit circle with center at origin and a point P on the circle at angle of 30° in the…

Q: Find all points on the semicircle, y=sqrt 7-x^2, at which the slope of the tangent line is equal to…

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Q: At what point is the tangent line to the curve y = 2x to the line x - perpendicular – y – 8 = 0?…

A: Let the point is (a, b), so the slope of the tangent line to the given curve can be determined as,…

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

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Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units

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

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Q: find the slope of the curve at the point indicated. 19. у %3D 5x — Зх?, X =

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Q: What is the radius of a circle whose center is at (-6,7) and is tangent to the y-axis?

A: Given that: center=-6,7 and tangent to the y-axis

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

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Q: Find an equation of the tangent to the circle x 2 + y 2= 25 at the point  (3,4)

A: x2+y2=25 Differentiating with respect to x, we get 2x+2y·dydx=0⇒2y·dydx=-2x⇒dydx=-xy Now slope of…

Q: 4. Find the equation of the circle that is tangent to the line x = 8 that has a center at (-5, 10).

A: The general equation of circle having the center at h,k and radius r is given as, x-h2+y-k2=r2 it is…