Q8- Find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together. y =, (2,-)

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: Q8- Find an equation for the tangent to the curve at the given point. Then sketch the curve and…

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Q: find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent…

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

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Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x³ - 11x through the point…

A: Given, curve y=x3-11x                  And point 1,-11

Q: For what x-values that the curve ?(?) = (1/3)x3-x2 have horizontal tangent lines?

A: fx=13x3-x2 Differentiating with respect to x, we get f'x=133x2-2x    ∵dxndx=nxn-1=x2-2x

Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87).

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Q: Consider the following curve. x +1 y = x- 8 Find the slope m of the tangent line at the point (7,…

A: Given equation - y = x+1x-8Slope of the tangent line = dydxThen, differentiating given equation with…

Q: Consider the following curve. y = V8 - 17x Find the slope m of the tangent line at the point (-1,…

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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 curve at the given point. y = x3 − 2x + 2,    (4, 58)

A: Here we find the  equation of the tangent line to the centrey=x3-2x+2  at the point 4,58

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: We have to find an equation of the tangent line to the curve at the given point.…

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

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Q: A curve is given by the equation x4 + y = 82. Find the equation of the line tangent the curve at…

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Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5,…

A: We have to find tangent line

Q: Find the equation of the tangent line at the given point on the following curve. x2+y? = 20, (-2,4)…

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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: b) Find the Slopes of a lines tangent to the graph at x = 4, and then build the respective Tangent…

A: Slope of line can be find by taking derivative . Derivative of the equation at the given point is…

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

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Q: Write an equation of the tangent line to the curve f (x) = 3//a + 8x at the point (4, f (4). Upload…

A: We have to calculate slope of the tangent

Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation  To find the slope of the…

Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: Grph the Find an equation of the tangent line to the curve at the en point. owo

A: Given that             y = √x ,   (1,1) Here we have to find the equation of the tangent line to the…

Q: Find an equation for the line tangent to the curve y =x +5 at the point (2,9). Sketch the curve and…

A: Differentiating the equation of parabola and substituting the point gives the slope at that point.

Q: x6 +1 -at the point (-1, 1) x4 +1 Find the equation of the tangent line to the graph of

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Q: Find an equation of a tangent line to the curve y = 3x³72 + at the x2 point (1,5). Write you answer…

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Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload…

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the…

Q: Find an equation of the tangent line to the curve 2(1 + )° = 25(x² – 7) (a lemniscate) at the point…

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Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: Consider the given equation of the curve, y=1x2 differentiate the function to find the slope of the…

Q: Find the equation of the tangent line at the given point on the following curve. *+y² =41, (-4. - 5)…

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Q: at (1, 3). Find the slope of the tangent to the curve x° + 3xy + y° = The slope is

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Q: 1- Find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

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Q: Consider the following curve. y = V1 - 24x Find the slope m of the tangent line at the point (-1,…

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Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

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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,…

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Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent…

A: Given, the curve y = 1/x3 and we have to find the equation for the tangent to the given curve at…

Q: Consider the following curve. X + 3 y = X - 6 Find the slope m of the tangent line at the point (5,…

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Q: Find the equation of the tangent line to the curve  at the given point . Sketch the curve and the…

A: The equation of the curve is y=-2x3. The point of contact is (-2, 16).

Q: (*.:)- 3 at the point ( 4, The slope of the tangent line to the curve y = is: 4 Preview The equation…

A: Given,

Q: Find an equation of the tangent line to the curve at the given point. x + 1 (6, -7) x - 7 y =y= -8x…

A: y= x+1 / x-7 (6,-7 )  x- y - =13

Q: Find the equation of the tangent to the curve y= 3 + 2x - x 2

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Q: Q8- Find an equation for the tangent to the curve at the given point. Then sketch the curve and…

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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 an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: y=4-x2,  -1, 3 Now differentiating with respect to x, we get dydx=0-2x=-2x Now slope of the tangent…

Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

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