Point X is located (2,-6), and point Z is located at (0,5). Find the y value that is located 1/5 the distance from point X to point Z

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: The circle whose equation is ((x+3)^2)+((y+4)^2)=17 and the line whose equation is y= 4x+25 are…

A: Given query is to find the the point of tangency.

Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

Q: Find an equation of the curve that passes through the point (1, 3), and has the given slope y′ =…

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Q: Find equations of the tangent lines to the curve y = 6 n) at the points (1, 0) and (e, at the point…

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Q: Find the coordinates of all points on the graph of y = 11 – x2 at which the tangent line passes…

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: Find the equation of the curve that passes through the point (1, 3) and has a slope of y/x2 at any…

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

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Q: The tangent line to the graph of y = g(x) at the point (4, 5) passes through the point (7, 0). Find…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the…

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

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Q: A curve passes through the point (0,5) and has the property that the slope of the curve at every…

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

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 exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

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Q: A curve passes through the point (0, 6) and has the property that the slope of the curve at every…

A: Given that the slope of curve at every point is twice the y-coordinate at P. i.e. dydx=2y (as dydx…

Q: Find the distance between the points (-1,4) and (3, -6). Give the exact distance and an…

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Q: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

A: A curve passes through the point (0, 5) and has the property that the slope of the curve at every…

Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: The slope of the tangent line at any point (x, y) on a curve is 2/r. If the point (9, 3) is on the…

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Q: Find the coordinates of the point P in the graph at which the tangent line passes through (5, 0).…

A: The given function is fx=16-x2. let the given point P be h,k. It is given that h,k is on fx=16-x2.…

Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: The point (3, 2) is on a curve and at any point, (x, y) on the curve, the tangent line has a slope…

A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

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: The slope of the tangent line to the curve y 3 at the point 9, is: 3 The equation of this tangent…

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Q: Find a value for x so that distance from (x,3,6) to the origin is 9

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Q: The curves f(x) = x² + x + 4 and g(x) = - 5x + 20 intersect at the point (2, 10) Find the acute…

A: Given, fx = x2+x+4  and  gx = -5x+20  intersected at the point  2, 10 We have to find the acute…

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

A: Differentiate the equation and get slope of tangent at (3,-4) ddxx2+y2=ddx252×3+2×-4×dydx=0dydx=34

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: Find the equations of the tangent lines to the circle x2 + y2 = 9 which pass through the point (-7,…

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Q: The slope of the tangent line at any point (x, y) on a curve is 10 − 4x, and the point (1, −1) is on…

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Q: Find the distance between the point (1,1) and (3,9) along the curve y=x2

A: Given:The points (1,1) and (3,9) along the curve y=x2To find the distance we need use calculus as…

Q: Perpendicular to By=X-4 and passes through tha point G2,).

A: The perpendicular line is given as 3y=x-4......(1) The equation of line in slope intercept for is…

Q: The equation of a curve is y= 4x²+4lx+12-k, where kis a constant. In the case where k=1, find the…

A: If a line is parallel to the x-axis then its slope will be 0.   Slope of the curve y=f(x) is m =…

Q: Solve the standard equation of every circle that passes through the points P(1,-1) and Q(3,1) and is…

A: I am attaching image so that you understand each and every step.

Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

A: The distance between the line ax+by+c=0 and the point x1,y1 is given as below. d=ax1+by1+ca2+b2

Q: How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what…

A: Given: The equations of circle are given as, Consider the parametric co-ordinates for the Eq. (A)…

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y =…

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Q: Find the equations of the tangent lines to the circle x2 + y2 = 1 which pass through the point (-4,…

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