Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? Talk to a Tutor Read It 4. -/0.11 pointsSCalcET8 2.7.007.MI Find an equation of the tangent line to the curve at the given point. y x, (25, 5) y = Need Help? Read It Watch It Master It Taik to a Tutor II

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex + x,  (0, 9)

A: Given: y=9ex+xx1=0y1=9 The objective is to find the equation of tangent line to the curve

Q: Find an equation of the tangent line to the curve at the given point. y = 6ex + x,  (0, 6) y =

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Q: Find the equation of the line tangent to the indicated curve. Sketch the curve and tangent line. *+y…

A: We solve the problem by finding the slope and then construct the equation of tangent.

Q: Find an equation of the tangent line to the curve y x at the given point (4,2). the definition to…

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Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 3 + 3x. y…

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Q: Find an equation for the line that is tangent to the curve y = 3x'- 3x at the point (1,0). The…

A: The given function is  f(x) = y = 3x3 - 3x To find the equation of the tangent passes through (1, 0)

Q: Find an equation of the tangent line to the graph at the given point. y = y 8 16 x fix) = 2 X + 16 4…

A: Given that a graph  and  find an equation of the  tangent line at point (-2,-8/5).

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: 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: The curve below has a horizontal tangent line at the point (4, – 1) and at one other point. Find the…

A: Explanation of the answer is as follows

Q: Using derivative as a slope, find the line that are tangent and normal to the following curve at the…

A: Find the value of y in terms of x and find the slope and calculate the tangent and normal

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: The slope of the tangent line to the curve y = - 4. at the point 5, 4. is: %3D The equation of this…

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

A: Solve by using equation of tangent

Q: Estimate the slope of the tangent line to the curve at the given point (x,y). 6- 4- (-2,2) -6. -4 -2…

A: Given figure,

Q: Find the equation of the tangent line to the curve y=5x /1+x^2 at the point (4, 20/17) The equation…

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Q: Find an equation of the tangent line to the curve at the given point.   y= square root of 1-8x,…

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Q: Find the slope of the line tangent to the curve y =x at the point (- 0.4, 0.16) and then find the…

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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: Find the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = - 4x +7,…

A: Given: f(x)= -4x+7 , x=-1 Equation of line having slope m and passing through (x1, y1) is   (x-…

Q: Find an equation for the line that is tangent to the curve y= 4x° - 4x at the point (1,0). The…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

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Q: Find the slope of the tangent line to the given curve at the given value of x. Find the equation of…

A: The slope of the tangent line is obtained by differentiating y, i.e., y' obtained is the slope of…

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: Find the point on the curve y=e3x where the tangent line passes through the origin

A: Given: y=e3x. let's that point on curve is a,e3a so, slopem of tangent is given by dydxa,e3a and…

Q: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A: topic - equation of tangent line which is perpendicular to given line

Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x3 − 8x through the point…

A: Given curve is  y=x3-8x

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: Find equations of the tangent line and normal line

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Q: Find an equation for the line that is tangent to the curve y = 5x - 5x at the point (1,0). The…

A: Our Aim is to find an equation for the line that is tangent to the curve y=5x3-5xat the point (1,0).…

Q: Find an equation of the line tangent to the graph of f(x) = 2x° at (1,2). The equation of the…

A: We will find required equation of  line tangent in the following step.

Q: Find the equation of the tangent line to the curve y = (x- 1)°(x+ 3)² at the point (2,25). The…

A: Firstly ,find the derivativw of y and then put the value of x coordinate of point to find the slope…

Q: Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a A. THE…

A: We can find the slope at the given point in the following steps.

Q: Find an equation for the line that is tangent to the curve y = 2x - 2x at the point (- 1,0). The…

A: Consider the curve  y=2x3−2x Point (-1,0)

Q: Find the points on the curve y=2x3+3x2-12x+1 the tangent is horizontal.  0 (Hint: tangent is…

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Q: Direction: Find the equation of the tangent line to the function at x=a. 5. y = 2x³ + 4x²+7x-9 at…

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

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Q: Find the slope of the given point of the equation of the tangent line y=x^2-5 P(2,-1)

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

Q: Find the equation of the tangent line to the curve y = (x- 3)° (x+ 5)² at the point (4,81). The…

A: Solution:- calculate slope

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: how do you find the  (a). equation of the scant line through the points wehre x has the given…

A: The given equation is f(x)=x^2+2x.

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

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Q: 1. Physicists have determined that drivers are most likely to lose control of their cars as they are…

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Q: ) Find an equation of the tangent line to the curve y = Vx at the given point (4, 2). e the…

A: topic - equation of a tangent line

Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

A: