dy = 18x-6x for each x. dx Find the equation of the curve that passes through (2,46) if its slope is given by D y3=

Q: Q1: Find an equation for the tangent to the curve at the given point. 1.y=2Vx (1,2) 2.y = (x – 1)2 +…

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Q: Find the equation of the curve that passes through (0, 9) if its slope is given by dy/dx = 12x^2 −…

A: We can find the equation of the curve by integrating the given derivative and substitute the point…

Q: dy = 18x2 – 8x for each x. dx Find the equation of the curve that passes through (- 1, – 9) if its…

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Q: Find the slope m of the tangent line to the curve - 4a? + 2xy + 2y = 68 at the point (- 3, 4). Give…

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Q: Find an equation in the form y = ax? + bx + c whose graph has an x-intercept at x = -1 and a tangent…

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Q: 2x +1 Find the slope of the line tangent to the graph of y = 5x at x = 1. 4

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Q: For the equation (D3 + D2)y = 4, find the solution whose graph has at the origin a point of…

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

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

Q: 5. Find the equation of the tangent and normal lines to the curve x = t2 – 2t, y= t3 - 3 when t =…

A: Firstly we find Slope of tangent and slope of normal to the given curves and then we will find…

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Consider the following equation. 4x3 + 3y2 = 52 Step 2 of 2: Find the slope of the tangent line at…

A: The given equation is 4x3+3y2=52. Evaluate dydx using implicit differentiation as follows.…

Q: X =t3; y = 2t? + 3. Find the equation for the tangent line, when t =2

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Q: (3x-y)= Gx + 2y + 23 V Find the slope af the curve at the pont where x= 1.

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

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: Consider the curve defined by 2x - y + y3 = 0

A: Given, the curve 2x – y – y3 = 0.

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 slope of the curve at the point indicated.

A: We have to find the slope of the curve at the given point: y=x-1x+1, x=0 We know that slope of the…

Q: (d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

A: We have x = 4sint,  and y = cost

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Q4 if xy-yx=6 is the equation of a curve, find the slope and the equation of the tangent line at the…

A: As per our guidelines we can solve only first question. Please repost the other questions that need…

Q: Find dy/dx and d2 y/dx2 , and find the slope and concavity (if possible) at the given value of the…

A: Given: x=θ-sinθ, y=1-cosθ, θ=π We know that dydx for given expression is given by dydx=dydθdxdθ…

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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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: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Differentiate implicitly to find the slope of the curve at the given point. y³ + yx2 + x² - 3y2 = 0;…

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Q: Find the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:

A: The solution is given as follows :

Q: dy Find the equation of the curve whose slope is dx 3 x2 and the curve passes through the point (3,…

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Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Find the slope of the tangent to the curve y = 3e^(2x) at (0,3)  a. 3  b. 2  c. 6  d. 12

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Q: For the equation (D3+D2)y=4, find the solution whose graph  has at the origin a point of inflection…

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Q: d'y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

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Q: -4x 2. Determine an equation for the tangent to the curve y = (x+3)² at x = -2.

A: Given function Fx=y=-4xx+32 Then we have to find eq. for tangent to the given curve at point x=-2…

Q: Given the curve y= x^3 - 4x +1 . Find the equation of the tangent at the points where the slope of…

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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: Q2) A/ Find the values of a and b if the equation of tangent at (2,3) on the curve y? : ax³ + b is y…

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Q: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2vx (1,2) 2.y = (x - 1)2 +…

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Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

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Q: X = t3 - 6t2 y = t2 - 2t Find an equation for the line tangent at the point where x = 16 and t > 0.

A: The equation of a tangent at a point (x1,y1) on the curve is given by the expression y-y1=m(x-x1).…

Q: Find an equation of the curve that satisfies dy/dx = 150yx14   and whose y-intercept is 2.   y(x) =…

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Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: x = t³ + 2; y = t3 + 2t; Find the slope of the tangent line when t = 2

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Q: 10r-3 at x = (0. 4x+1 Find an equation for the line tangent to given curve y

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Q: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2V (1,2)

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

A: By using slope formula and equation of tangent line, we find the required equation of tangent line.

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

A: use property of chain rule to find the slope and equation of tangent line

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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