The slope of the tangent line to the curve y = 2x° at the point (-2, –16) is: slope The equation of this tangent line can be written in the form y = mx + b where m = and where 6 =

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: . Find all points on the curve y - tan x, -/2 <x< /2, where the tangent line is parallel to the line…

A: Consider the curve  y=tanx                    −π2&lt;x&lt;π2 Equation of line  y=2x

Q: Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

A: To Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

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A: Given query is to find the equation of the tangent.

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Q: The slope of the tangent line at any point (X, y) on a curve is If the point (9, 3) is on the curve,…

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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: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

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

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A: Given,           The curve is y=3x and point is 1, 3.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: ) Find the slope m of the tangent to the curve y = 9+4x^2-2x^3 at point where x = a. B) Find…

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Q: Find the equation of the tangent line to the curve y=3xcosx at the point (π,−3π)(π,−3π). The…

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Q: Find the equation of the tangent line to the curve y 3x cos x at the point (T, -37). || The equation…

A: Formula for finding the equation of a line having a slope of m and passing through the point (x1,y1)…

Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

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Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

A: To find the equation of the tangent line to the curve y=4sinx at the point π6,2. Solution: Firstly,…

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

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A: the slope of the curve is the derivative of the function at that point.' here we have to form a…

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: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

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

A: Our Aim is to find the slope of the tangent line to the curve at the givenvalue of x and also we…

Q: Find y' and then find the slope of the tangent line at (128, 32). Round the slope and y-intercept to…

A: Given functon is y=8xSlope , y1 =ddx 8x              =82x = 2xHence at (128,32)y1  = 2128 = 164y1 =…

Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

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: 2 at the point P(-1,1) 1-x Find the slope of the tangent to y= Answer:

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Q: Consider the following curve y = 2x^2-9x+1 a. Find the slope m of the tangent line at the…

A: Given         y=2x2-9x+1→           1       slope of the tangent line is        dydx=ddx2x2-9x+1…

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: 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: (a) Find y'. (b) Verify that the point (0, 1) is on the graph of the equation. (c) Find the slope of…

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Q: 4) Given the equation x3 + y3 = 9x (implicit), find y'. Then find the slope and equation of the…

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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: Consider the curve given by y = 3x* – 6x2 + 2, a. Find the slope of the curve at the point whose x…

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

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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: Find the equation of the tangent line to the curve y 6x cos r at the point (T, - 67). The equation…

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

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: 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 y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: If h(x) = 5 – 4x", find h' (2). Use this to find the equation of the tangent line to the curve y…

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Q: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x.…

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Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2).…

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Q: Find an equation for the tangent line of y = e* that is parallel to the linear equation y = 5x + 17.…

A: Given y=e8x let at point  (h,k) on curve y=e8x tangent is parallel to the  y=5x+17

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

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