Find a.) the slope of the curve at the given point P, and b.) an equation of the tangent line at P. y=x2 - 5,      P(2, -1)

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

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Q: Find ​(a) the slope of the curve at the given point​ P, and ​(b) an equation of the tangent line at…

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Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

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Q: Find an equation of the tangent line to the curve 2ax? +y² – 6x = 0 at the point P (1, -2)

A: Differentiate the equation with respect to x to find the value of dydx. 4x+2ydydx-6=0dydx=3-2xy

Q: Find the equation for the tangent to the curve at the given point.

A: First find slope using y'Slope=48

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Q: Find an equation of the tangent line to the graph at the given point. x?y2 - 9x² – 4y² = 0, (4, 2/3)

A: Given equation of function:

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Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given curve:

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Q: The curve y = x /( 1+ x2 ) is called a serpentine. Findan equation of the tangent line to this…

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Q: 1. Find the equation of the lines tangent and normal to the curve 3x?y2=4x2-4xy. at the point…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given : y=1-5x2, P(2,-19)

Q: Find the equation of the tangent line to the curve y? = xy + 6a? at the point (1, -2).

A: Given The curve y2 = x3y+6x2 and the point (1, -2)

Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

A: Given the curve y = x2/2 we need to find the point where the tangent of curve y is parallel to the…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

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Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: We plug x=1 and y=π/2 in the given function  Since both sides are equal so (1, π/2) is on the curve…

Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given equation of curve is y=x Given point is P(4,2). (a) Differentiating the given curve with…

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: The equation of this tangent line can be written in the form y = mæ + b where: m is: b is:

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

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Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: Write an equation for the given tangent curve in the form y = A tan [B(x - C)] + D. -1- 10 --....

A: The tangent curve in the form is y=A tanBx-C+D

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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Q: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

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Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

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Q: Find an equation of the tangent line to the graph at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: (a) The curve with equation y? = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the…

A: To determine the equation of tangent line.

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…

Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…

Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

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