Find the equation of the line tangent to the graph of f(x) = 5x° +4x² – 5z – 6 at z = -6. %3D

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A: Given curve is Firstly, we will find value of x and y at t=3pi/4

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Q: 4. Find y'(x) for x²y² – 2x = 4 – 4y. Then find the equation of the tangent line at (2, –2 _n…

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Q: ms. 4x Find the equation of the line tangent to y = e "* at x = , In 5. 4 The equation of the line…

A: Given: y=e4x To Find: Find the equation of the line tangent at x=14ln5 Concept: i. ddxeax=aeaxii.…

Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) ev dy at x = 0. sech z

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Q: find an equation of the curve that satisfies (dy)/(dx)=45 yx^14 and whose y-intercept is 2 y(x) =

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Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

Q: Find an equation for the line tangent to the curve x= 2sin(t), y= 4cos(t) at the point defined by…

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Q: 1 Find the points at which the graph of the equation 4? + y² – 8x + 4y + 4 0 has a vertical or…

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Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: nswer two only: [25] M W Find the equation for tangent to the curve y = x + cos(2x²) at x = 2.

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Q: Find the length of the graph of ; a. f(x)=⅓x2 -⅔ between x=2 and x=3.  b. x=cost, y=sint from t=0…

A: See the detailed solution below.

Q: Find the equation of the line that is tangent to the curve y = 6x cos x at the point (T, -6T). The…

A: Given curve is: y=6x cos x. We need to find tangent to y at (π, -6π)

Q: r = -1 + cos 0 0=t/2

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Q: c. Find the equation of the tangent line to the curve x-t²-2t, y3t²+2t at the point t=2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

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Q: The slope of the curve when x=e is y = (In 2x)?

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+x5y4=−1

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Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

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Q: Find an equation of the tangent line to the curve

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Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

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Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: Find the equation of the tangent line to the curve y = 3 sec(z) - 6 cos(x) at the point (π/3, 3).…

A: The equation of tangent line

Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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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: use implicit differentiation to find dy/dx and thend2y/dx2. Write the solutions in terms of x and y…

A: Differentiating with respect to x, we get

Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |…

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx…

Q: Find the equation of the tangent line to the curve y = 4 sec(x) – 8 cos(x) at the poin (T/3, 4).…

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Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: Find an equation for the e Foci: F(±2, 0), ver

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Q: p) Find the equation of the line tangent to the curve x² + y² = 25 at (3,4) %3D

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Q: nd an equation of the tangent to the curve f(x) = /x+ 8 that has slope %D 4 А. 1 y = X. В. 1 y 7x+3…

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