Find the point on the curve y = x/2 for which the tangent line to the curve is perpendicular to the lịne 16z + 625y +472 = 0 Note: Write the exact answer but not the approximate value (For example write but not 0.8). Answer: The point is (r,y) where y%3=

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: y=x2-x, P4,-2 We know that for any given functiony=fx slopem of tangent at pointx1,y1 is…

Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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Q: 2. Find the slope of the tangent line to rJī+ yJF = 10 at (1,8).

A: We use implicit differentiation with product rule

Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

A: Given: f(x)=2x-1 x=5 and x=10. (a) Determine the value of f(x)=2x-1 at x=5. f(x)=25-1=24=4…

Q: 4 Find all the points on the curve x2 + xy + y? = 3 where the tangent to the curve is a vertical…

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Q: B-Find the point on the curve y = x + x?- 1 where the tangent parallel to the x- axis. Q 2/ La…

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Q: 3. Find the points where tangent lines are vertical or horizontal: x³ + y³ = 6xy

A: Given:- x3+y3 = 6xy To find :- Points where tangent horizontal and vertical

Q: Find for x? + x +y² + 2 = 3xy the lines that are tangent and normal to the curve at point (3,2).

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Q: Find the equation of the line tangent to y = f(x) atx = 1, where f(x) = 11e& + e. Carry out all…

A: Given f(x) = 11e^(8x) + e^(-x^2)

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find the point(s) on the graph of y = (x2 – 168)e × where the tangent line is horizontal. Identify…

A: Given y=x2-168ex Consider, fx=x2-168ex To find the points on the graph where the tangent line is…

Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: Find the equation of the tangent line and normal line to the graph of y = x-1 at the x+1 point where…

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Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

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Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

A:

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: The equation of the tangent line to the curve a? +y = 16, at (4,-13) is 4 13 13 (x – 4) + 13 4 4 y =…

A:

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 an equation of the tangent line to the curve at the given point. y = Vx, (25, 5)

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Q: 3. Find the slope of the tangent line to x? = (y² + 1)(x + y) at (0,0).

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

Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Find an equation of the tangent plane to the graph y = x² + 2xz at (1,3, 1). (Possible Answer: 4r –…

A: We have to find an equation of the tangent plane to the graph y=x2+2xz at 1,3,1.

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: I need help figuring out how to do the work. Thank you

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Q: Plz solve this now in 10 min and take a thumb up plz

A: We have to solve the problem

Q: Find all points on the curve where the tangent line has the given slope. (If an answer does not…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

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Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

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Q: n) Find the equation of the tangent line to the curve y = (1 + x*) at the point | 1, %3D

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Q: Find the slope of the tangent line to the curve at the given value of the parameter. x= 2t2 +5t y=t3…

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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: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

A:

Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4…

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Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…

A: Here we have to find the value of x.

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

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Q: Find the point(s) on the curve t3 3t, y 2t2 +t 2 x = - where the slope of the tangent line is equal…

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Q: Find the point on the curve y=/2 for which the tangent ine to the curve is perpendicular to the line…

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Q: B) Find the slope of the line tangent to the curve y = sin x at the point where x =

A:

Q: What is the slope of the tangent line to the graph of y = cot /2z +lat the point where z = 0? Select…

A: Here we have to find the Slope of the tangent line to the graph of  y=cot-12x+1  at x=0

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: Estimate the slope of the tangent line to each curve at the given point (x, y). 5. E L IN NN IIE…

A: Slope of the tangent line

Q: At what points on the given curve x = 4t?, y = 5 + 8t – 21² does the tangent line have (x, y) =…

A:

Q: For what value(s) of x is the line tangent to the curve y = xV6 - x horizontal? Vertical?

A: Given curve is: y=x6-x Differentiating with respect to x we get,…