Find an equation of the tangent line to the curve at the given polnt. y = 4x² – x², (1, 3) Illustrate by graphing the curve and the tangent line on the same screen. y. 10- 10- 5- 5- -3 -2 -1 2. -1 21 3. 5. 0-5 10 10- 21 5. 5. 44 -3 -2 21

Q: Find ​the slope of the curve at the given point​ P and an equation of the tangent line at P.…

A: solution:-y=-3-4x2point, P(x1, y1)=-3, -39slope=dydx=ddx-3-4x2=-8xat point -3, -39slope=-8(-3)=24

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find an equation of the tangent to the curve at the given point. x = 4 + t2 − t,    y = t2 + 4,…

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

A: First find slope using y'Slope=48

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

A: a). Slope of the curve is the derivative of the curve at the given point. So differentiating given…

Q: 3(x2 + y2)2 = 100(x² – y2), (4, -2) y = Lemniscate y -4 -2 /6 (4, -2) -4 -6 2. 2.

A: This is related to equation of tangent to a curve

Q: Find an equation for the tangent to the curve at the given point. 19) f(x) = 10/x - x + 7, (100, 7)…

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Q: Find an equation of the tangent to the curve at the given point. x = 6 + t2 − t,    y = t2 + 7,…

A: x=6+t2-tdxdt=2t-1 y=t2+7dydt=2t dydx=dydtdxdt=2t2t-1

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

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Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

Q: Consider the following curve. y = 3x2 14x + 1 Find the slope m of the tangent line at the point (5,…

A: Slope of the tangent is obtained by dy/dx

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = 4(x - 5), (6,5) ||…

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Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

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Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: Determine the equation of the line tangent to the curve at the given point. y = In(x? – 5x + 1), (5,…

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Q: Find y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

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 y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

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

A: The given function is y=x3 and the point is 2,8.

Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

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Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

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

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Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x² +…

A: Let's find

Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

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: Giveny=x3−3x2+4,P2,0

Q: Find a point on the graph of /(x)=6x-15 where the tangent line is parallel to the line y+x=1. Seloct…

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Q: Find an equation of the tangent to the curve at the given point. (1) X²+4xy-y²-4x=1, (1,2) (2)…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x3 -…

A: soln:Giveny=x3-2x2+4, p1,3The equation of the tangent line in slope intercept form…

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

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Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

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Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b)…

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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 an equation of the tangent line to the graph of y? = 4(x - 5) at (6,1).

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Q: Pls help ASAP

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Q: Consider the following curve. x + 2 y = x - 4 Find the slope m of the tangent line at the point (3,…

A: Find the slope of tangent by calculating first derivate of the given curve then write the equation…

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 y' if x³+y³ = 6xy . Find the tangent to the folium of Descartes x³ + y³ = 6xy at the point…

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Q: For what value of x is the tangent line to the curve y= x2 -6x +5 horizonta? A -3 B C) none of the…

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Q: Find an equation of the tangent to the curve at the given point. x = 5 + t2 − t,    y = t2 + 4,…

A: Consider the given functions: x=5+t2-ty=t2+4 Formula for equation of tangent line is given by:…

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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

Q: 2. Write the equation of the tangent line to the curve y = x2 -x-2+ 2 at the point P(1, 2). 3. Use…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…