The slope of the tangent line to the curve y = 3x° at the point (-5, –375) is: slope = The equation of this tangent line can be written in the form y = mx + b where m = and where

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: Find the equation of the tangent line at the given point on each curve. :x2 + y2 = 100; (8, -6)

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 16 . æ =…

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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: At the given point, find the equation of the tangent line, as requested. y^5+x^3=y^2+10x, tangent…

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Q: The slope of the tangent line to the curve y = 2x° at the point (-2, –16) is: slope The equation of…

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Q: Consider the following curve. x + 2 y X - 4 Find the slope m of the tangent line at the point (3,…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: Find the equation of the tangent line of the given function at point (-1,3). Give answer in the…

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

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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Q: Write the equation of the tangent line to the curve (a lemniscate) 2(x2 + y²)“ = 25(x² – y²) at the…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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Q: Find an equation of the tangent line to the graph at the given point. (x +2) + (y- 3) = 37, (-3,-3)

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Q: Find an equation of the tangent line to the curve y= 10xat the point (1, 10).

A: Given: y=10x for finding tangent of given curve at given point we need slope m of tangent at given…

Q: slope

A: Please refer to the image below

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: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x² +…

A: Let's find

Q: 5.) y3 x+ at a point where x 3

A: A detailed solution is given below

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: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

A: We have given,

Q: use a graphing calculator to find the equation(s) of the tangent line(s) at the point(s) on the…

A: When x = 2, Put the value in the given equation:

Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: The slope of the tangent line to the curve  y=3x^3 at the point (-5,-375) is:? The equation of this…

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

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 the equation of the tangent line to the curve y=5sec(x)−10cos(x)at the point (π/3,5). Write…

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Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

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

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

A: Given equation is: y = 8 - x2 Taking derivative of y with respect to x we get, dy/dx = 0 - 2x dy/dx…

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

A: Consider the given equation of the curve, y=1x2 differentiate the function to find the slope of the…

Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: It is slope of tangent line.

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

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this…

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 49. æ =…

A: Given: x=t, y=4t at t=49.

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

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Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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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: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y…

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

A: y=4-x2,  -1, 3 Now differentiating with respect to x, we get dydx=0-2x=-2x Now slope of the tangent…

Q: Use Equation 3.4 to find the slope of the tangent line mtan = f'(a) and then find the equation of…

A: Given :               f(x) = 3-3x ; a=2 The equation of tangent in point- slope form is :…

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = 36. VE, y…

A: The general form of the parametric equation of the curve in three dimensional space is given by…