Astroid x23 + y2/3 = 5 %3D y 12 (8, 1) +► x 12 - 12+

Q: (viii) Find the equation of the tangent line to the following curve at the point (1, 1). 4.x²y – y =…

A: To find the equation of the Tangent line to the curve at given point

Q: An equation of the tangent line to the curve C at the point (1, 2) is A у — 2%3 B y-2=2(x-1) ©…

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Q: 1. Find an equation for the tangent line to the graph of y tan at the 100- г2 point with r = 8.

A: Given : y = tan (π/√(100-x²))

Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

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 an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

Q: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

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Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: QUESTION 1 Find the equation of the line tangent to the curve In(x3+v) = xv3 at (1, 0)

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Q: Ch.3) 2. Find an equation of the tangent line to the given curve at the specified point: 13. (3) x*…

A: The given function is y=x2+2x2+x+3 at 1,35

Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

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

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Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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Q: 31-32 Find an equation of the tangent line to the given curve at the specified point. et 2x 31. y=…

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Q: Find an equation of the line tangent to the following curve at the given point. 17 = 1; 15,- 64 8 dy…

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Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: 1. Where does the graph of s= t² - 3t+2 have horizontal tangent? Write an equation for the tangent…

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: The graph of 3 (x+y) = 25 (x -y²), shown in the figure, is a lemniscate of Bernoulli. Find the…

A: Given query is to find equation ifbthe tangent at given point.

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: Question 19 Find the equation of the tangent line to the curve at the point (0, 0). Oz+y=1 O-x+y=0…

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Q: Find the equation of the tangent line to the graph of a+ y = 3 at the point (1,4). 1) y - 4 = 2(x -…

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Q: Question 29 Determine an equation for the line tangent to y² = x³ = x + 1 at (1, 1). Oy=-x y = x ° y…

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Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

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

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

Q: Find an equation of the tangent line to the graph of the function given below at the given point.…

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

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Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

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Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

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Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: 21 Find the equation of the tangent i ne OF the graph of yEra y= xe at the point ( ). y=? -2X

A: The objective is to find the equation of the tangent line.

Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

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Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

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Q: Find an equation of the tangent line to the graph of the function f(x) = e6x, at the given point (0,…

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Q: For the equation given below, evaluate y at the point (1, 2). ev + 10 – e² = 2x² + 2y². y at (1, 2)…

A: "Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line.

Q: Find the slope of the tangent line to the given curve at t=3. Sx=²-7 The slope is

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Q: ind an equation of the tangent line to the graph of the function at the given poin y = (e - 4)2. (0,…

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Q: -9x Find an equation of the tangent line to the graph of y = e at the point (4, e¯3º). y =

A: First of all we will find the slope of the tangent line using the fact that the slope of tangent…

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 an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: The equation for the tangent to the curve y = t+ at the point (1,3

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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: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

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.

Q: dy Find in simplest form in each of the following dx - 5 1. y = - x³ – 4x² + 7x – 5 in

A: Given that: y=-5x3-4x2+7x-5     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Find the slope of the tangent line to the graph at the given point (x2 + y?)2 = 4x²y, (-1, 1)…

A: If , then the independent variable x is called the input of the function and the dependent variable…