Two circles of radius 8 are tangent to the graph y^2=4x at the point (1,2) Find equations of these two circles

Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: The equation of the tangent line to the circle x + y = 25 at the point (1,26) is (Type your answer…

A:

Q: is

A:

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

A: As we know that, the slope of the tangent line to the curve at Px,ya point is given by: dydx. Given:…

Q: 1. A curve is defined by the equation x'+2xy+y' = 4. Find the equation of the line tangent to this…

A:

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. Show…

A: Slope- Point form : y-y1 =mx-x1 ; where ,'m' is slope and x1,y1 point.

Q: a. Find an equation for the line that is tangent to the curve y = x3 - x at the point (-1, 0). b.…

A: (a) Consider the provided equation of curve and point where the tangent drawn is shown below,

Q: Jorge starts 2 feet in front of a motion detector. For the first 3 seconds, Jorge walks away from…

A:

Q: Find the slope of the tangent line to the curve y = x/1-x at the point (1/2, 1). Find the equation…

A: Given: The curve, y=x1-x and tangent at point 12,1

Q: Solve using crossing graphs. (Round your answers to two decimal places.) 4x − 3y  =  8 x + y  =  0…

A: Explanation of the solution is given below...

Q: + 2 -

A:

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

A: Solve by using equation of tangent

Q: Find the equation of the tangent line to the curve y=5x /1+x^2 at the point (4, 20/17) The equation…

A:

Q: Find an equation of the tangent line to the curve at the given point.   y= square root of 1-8x,…

A:

Q: The Tangent Line to the graph of y=g(x) at the point (3,5) passes through the point (8,3). Find g(3)…

A:

Q: I need help finding the equation of the parabola with directrix: x = 5 and vertex: (0, 0) and then…

A: Given, The directrix of the parabola x = 5  Vertex of the parabola = 0, 0 We have to find the…

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this…

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx =…

Q: The number of bacteria, per unit of volume, existing in a culture after x hours [0, 1, 2, 3, 4,...]…

A: Given 2 mathematical models. We need to compare the given data of values and find which of them is…

Q: Find a cubic function whose graph has horizontal tangents at the points (-2, 6) and (2, 0

A: Take y=ax3+bx2+cx+d Differentiate with respect to x, y'=d(ax3+bx2+cx+d)dx Since the tangent is…

Q: a. Find an equation for the line that is tangent to the curve y = x3 - 6x2 + 5x at the origin.  b.…

A: Given:

Q: a) The curve with equation y2 =5x4 -x2 is called akampyle of Eudoxus. Find an equation of the…

A:

Q: Find equations of the tangent lines to the curve y=(5ln(x)) / x at the points (1,0) and (e, 5/e) at…

A: Given that the equation of the curve is        y = 5ln(x)/x   at the point (1,0) and (e,5/e) .

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

A:

Q: (a) Equation of the circle of radius 2 centered at the origin(b) Equation of the circle of radius…

A: (a) Given Data: The expression to generate the equation of a circle with radius r and center at…

Q: Find equations for the horizontal tangent lines to the curve y = x3 - 3x - 2. Also find equations…

A:

Q: Find equations of the tangent line and normal line to the curve y = x√x at the point (4, 8).…

A:

Q: Two circles of radius 6 are tangent to the graph of y squared =4x at the point (1,2). Find equations…

A:

Q: Find an equation of the tangent line to the graph of the equation: x+y-ex-y=5 at the point (3,3)

A:

Q: ensider a circle with center at the origin and with radius 3. a. What is the equation of the circle…

A:

Q: For a certain curve, the point of contact of each tangent to it bisects the part of the tangent…

A: For a curve, the point of contact of each tangent to it bisects the part of the tangent terminating…

Q: A spring is such that a 5-lb weight stretches it 6 in. The 5-lb weight is attached, the spring…

A: Given that, A spring is such that a 5-lb weight stretches it 6 in. The 5-lb weight is attached, the…

Q: For a certain curve, the point of contact of each tangent to it bisects the path of the tangent…

A: Let xa+yb=1 be the tangent. Let the tangent cut the axis at a,0 and 0,b. So the mid point of the…

Q: Find the equations of all lines through the origin that are tangent to the curve y = x3 - 6x² – 2x.…

A:

Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20 cosh(x/20) -…

A: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20 cosh(x/20) -…

Q: Newton's method and Secant method are examples of fixed-point

A: FALSE Fixed point method Let f(x)=0 is an equation and we can express the equation in the form of…

Q: Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an…

A: Given query is to find the expression for height of the Rocket after t second.

Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y (Express numbers…

A:

Q: The point (2,2) is on the graph of x4+4xy+y3= x2+36. Find the slope of the line tangent to the…

A:

Q: slope = -1; passes through the point (-4, 10)

A: The slope intercept form is written as y=mx+c

Q: Oil spills from a tanker in the Gulf of Mexico and surfaces continuously at coordinates (x, y) =…

A:

Q: a.Find equations for the horizontal tangent lines to the curve y = x3 - 3x - 2. Also find equations…

A: NOTE: You seem to have uploaded a multiple question, thus we have answered only first question as…

Q: 1. Find the equation of the family of curves whose slope at any point is 6x. Find also the equation…

A:

Q: A curve passes through the point (0, 9) and has the property that the slope of the curve at every…

A:

Q: egression equation:     Enter the equation in slope-intercept form with parameters accurate to…

A: Regression equation is a statistical technique which helps in finding the form of relationship…

Q: A point is moving along the graph of the equation y = −2x2. At what rate is y changing when x = 9…

A:

Q: Use a graphing utility to sketch the intersecting graphs of the equations and show that they are…

A: Orthogonal curves are the curves whose tangent lines are perpendicular at every point of…

Q: The point (1, 4) lies on the curve 3xy + x²y = 16. Using implicit -2xy-3y 3x+x2 differentiation we…

A: Slope of tangent = y'

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

A: Integrte slope get an equation satisfy point

Q: A forward tangent having a slope of -4% intersects the back tangent having a slope +7% at point V at…

A: G1=+7% G2=+4%Station of PVI=6+300Elevation of PVI = 230mStation of PVC=PVI-L2=(6+300)-L2Elevation of…