Find the equation of the tangent line to the graph of the function ?(?) = −(? + 8)2 + 4 at the point ?0 = 2. Draw the parabola and the tangent line

Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y,   (−7, 49/2)

A: The objective is to find the equation of the tangent line to the parabola at the given point.

Q: Does the parabola y = 3x - 14x+4 have a tangent whose slope is -2? If so, find an equation for the…

A: Topic - equation of tangent to the parabola

Q: 4. A statue 10 feet high is standing on a base 13 feet high. If an observer's eye above the ground,…

A: Given, H=10 feet, P=8 feet for maimize angle  θ=tan-1H+Px-tan-1Px…

Q: Hi, I am having a hard time figuring out what the equation of the tangent line is in this problem.…

A: Given:

Q: How do you find the intersections of a parabola and root function?

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Q: The parabola y = - 16 (X – 2)- -+1 has its fócus at (2, -3). Determine and state the equation of the…

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Q: 2)Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x2y2. Find an…

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Q: The is where the parabola crosses the x-axis. It is also called the zero of a function root, or…

A: We have to answer the following question using the given graph.

Q: Find the equation of the tangent to the curve y=x^2 -3x +4 at the point where the tangent makes an…

A: given that tangent to curve y=x2-3x+4 makes an angle of 135 degrees with x axis.

Q: 5x – 8x? and the here is a line through the origin that divides the region bounded by the parabola y…

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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: P(0, -1) from the point (x) = x² + 2x Apses of the points where the tangents drawn on the parabola…

A: The given equation of the parabola is, fx=x2+2x Apses of the points means that two lines meet at…

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

Q: the equation of the tangent line to the parabola at the given point.

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Q: Finally, determine a. The parabola passes through the point (0, 7). Substitute the values of x and y…

A: we have to find

Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

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Q: The quadratic equation y = – 0.8(x + 14)(x + 8) is in factored form. What are the x-intrecepts for…

A: Quadratic equations are the equation with variable raised to highest exponent of 2. Roots of…

Q: Consider the parabola with equation y =x - 4x + 5. The vertex of a parabola is located where the…

A: X coordinate of vertex is 2

Q: 1. Find all points P on the parabola y = x² such that the tangent line at P passes through the point…

A: Consider the given parabola, y=x2 and poiny 2,-5Find the derivative of the equation, dydx=ddxx2=2x

Q: A parabola has its axis parallel to the x-axis, one end of its latus rectum at (-15/4,3/2) and…

A: Given Information:A parabola has axis parallel to the x-axis.Latus rectum at -154 , 32Vertex at (-1,…

Q: 6. There equations. are two line through (-2,0) tangent to the parabola y = 4r. Find their

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Q: Tangent to a parabola Does the parabola y = 2x2 - 13x + 5have a tangent whose slope is -1? If so,…

A: Given :           The equation of parabola is y = 2x2 - 13x + 5.   To find the equation of tangent…

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: For each problem, find the equation of th should be in slope-intercept form. 1) y=x - 3x² +2 at (3,…

A: Equation of line passing from point (x1,y1)  in the slope-point form: where m is the slope of the…

Q: Use a graphing device to approximate to two decimal places, the value of x where the graphs of the…

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Q: Find the two values of a for which the line connecting the point,(1,-1) to a point (a,a2) on the…

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Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

Q: Find the tangent line to the parabola x2-6y=10 through (3,5) (ILLUSTRATE SOLUTION)

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Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point…

A: We need to find equation of curve.

Q: A straight line from the origin passes through the point P(x, y) in the first quadrant and is…

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Q: (y – 3)2 = 4(x - 5), (6, 5) %3D y = Parabola 6 (6, 5) 6 10 12 14 -2

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Q: Draw a diagram to show that there are two tangent lines to the parabola of  y = x2  that pass…

A: Given the parabola : y=x2Tangent passes through the point 0,-9 We need to find the coordinates of…

Q: 1. What is the equation of the line to the parabola y = x2 + 5x +1 through the 15 point at

A: Given, Parabola  y=x2+5x+1 Point 12, 154

Q: Determine whether the statement is true or false. An equation of the tangent line to the parabola y…

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Q: shortest distance from the point (0,6) to the parabola x² – 4y = 0.

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Q: The curve with equation y? = x³ + 12x? is called a Tschirnhausen cubic. Find the equation of the…

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Q: Find the equation of the tangent line to the parabola at the given point. x^2 = 2y, (-2, 2)

A: Given query is to find the equation of the tangent .

Q: Find an equation of the tangent to the curve at the given point. y = -2 In(x? – 3), (-2,0)

A: Given the point. Using point slope formula.

Q: 5. How many lines are tangent to both of the parabolas y = -1-x² and y = 1+ x?? Find the exact…

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Q: How do you solve this and can you show me step by step?

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Q: Write the equation of the tangent line to y = x - 3x + 9 at x = 1. As a check, graph both the…

A: According to the bartleby guidelines, for more than one question asked, the first question should be…

Q: Does the parabola y = 2x2 - 7x-1 have a tangent whose slope is –1? If so, find the point of tangency…

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Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x? that pass through…

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the tangent line,…

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x² – 4. -…

A: Topic:- application of derivatives

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

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Q: 2. DETAILS Find an equation of the tangent line to the graph of the equation 3 In y - 7xy8 + 28 = 0…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)? + (y – 3)² - 37, (-1,…

A: Differentiating with respect to x, we get Now slope of the tangent at (-1, 9) is

Q: Use the derivative to find the vertex of the parabola. y= -2x-8x +4 ..... The vertex is (Type an…

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