a. Use Barrow's method in finding theslope of the tangent line to the curve             2x3y + 4.5y - xy2 = 9    at the point P = (-1, 2). b. Use a computer software to draw the curve and the tangent line at P.

Q: Find the slope of the tangent line to the curve a? – 2xy + 2y° - 63 at the point ( – 3, – 3).

A: Given : x2 - 2xy + 2y3 = -63

Q: Find the slope of the tangent line to the curve−4x^2+4xy−3y^3=−5at the point (1,−1).

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Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1).

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Q: Find an equation of the tangent line to the given curve at the specified point. 2x (2, 1) %3D X + 2'

A: Equation of a line having slope m pass through the point (x1,y1) is       (y - y1) = m (x -x1)

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: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

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Q: In z The tangent line to the graph of y is perpendicular to the line = 7 at the point where

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Q: Find the slope of the tangent line to the curve - læ? 3xy – 4y 144 at the point (3, 3). Ouoction ||

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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=√3 and y=2 in the given equation So the point is on the curve

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

A: Given, A curve y=x12  and a point P(4,2) (a). To find the slope of the curve a the point P (b). To…

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:

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: Find an equation of the tangent line to the curve x = t4 + 2, y = t3 + t at each given point (2, 0),…

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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…

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 – 6xy = 0,     (4/3,…

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Q: Find the equation of the tangent line at (1, Tt) of 6x²y– ncos(y) = 71

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Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

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: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses the x-axis.…

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Q: Find the equation of the tangent line drawn to the curve y4−4x4−6xy=0 at the point M(1,2).

A:

Q: Folium of Descartes: x3 + y3- 6xy 0

A: It can be done by doing differentiating both sides with respect to x.

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 an equation of the tangent line to the curve at the given point by both eliminating the…

A: The given curve is: x=6+ln t  ,     y=t2+5  ,     (6, 6)

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: Show that the equation of the tangent to the curve = 2 (a'0, b1.0) a y at the point (a, b) is = 2.…

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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…

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Q: tangent

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Q: Consider xy2+x2y=6, find the slope of the tangent line at the point (1, 2)

A: Given curve: xy2+x2y=6 Find the slope of the tangent at point (1, 2).We know that slope of the…

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

A: Given: x3+y3-6xy=0,     43,83

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 equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the…

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: Sketch the figure of the described situation in the problem and then solve. Determine the equation…

A: Tangent and normal line: At the point of tangency, the normal line is defined as the line that is…

Q: Consider the following curve. Find y'(x). -*+4 y'(x) = (4 + *)? (+ )» Find an equation of 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: We have to find: a slope of the curve at the given point P and b an equation of tangent at the given…

Q: Find the equation of the tangent line to the curve at the given point. y = v2x + I, (4, 3)

A: →Slope, m = dydx→dax+bdx =12ax+b→Equation of straight line passing through (xo,yo) with slope m is…

Q: Find an equation of the tangent line to the parabola y=x2  at the point P(1,1)

A: To find an equation of the tangent line to the parabola y=x2 at the point P1,1

Q: Produce the equation of the tangent line to the given curve at the specified point 2x^4+xy^2=11;…

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Q: a. Determine the points where the curve 5x + 3y - y= 5 has a vertical tangent line. b. Does the…

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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: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal…

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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 (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: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: