Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to the line 4x +y+5= 0. %3D

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: Find an equation of the level curve of the function h(x, y) = 3 – x2 - y? that passes through the…

A: Given that the function is      h(x,y) = 3-x2-y2 We have to find an equation of the level curve of…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given function f(x)=2x2 and line is 6x-y+1=0

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: What is the instantaneous slope of Y -5 at X = 5? o 1 O -1

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the equation of a tangent line to the graph of the function g(x) = 2x – x² that is parallel to…

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Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: Find the slope of the curve Y = Vx at the point P (4, 2).

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

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Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A: Consider the given function: fx=x2x+8 slope of the function is derivative of the function at that…

Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1.

A: Here we find equation of tangent on given curve.

Q: Find the equation of the line tangent to the function at the given point. Your answer should be in…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: I am attaching image so that you understand each and every step.

Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx 1.

A: According to the given information, it is required to fine the equation of tangent.

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x5 +…

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Q: Find an equation of the tangent line to the graph of y = x(x + 3) at the point (1, 1024). 2304x –…

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Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

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Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

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

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Q: Write the equation of the line that is tangent to the function y = xyx and is parallel to y = 2x + 1…

A: Given function,     y = x x4 Parallel line to y=2x+1Genral line is  y = mx+cOn comparing both the…

Q: Find the slope of the function at (1,-1) x^(2/3)- y^(2/3)- y= 1 m=? Round to 3 decimal places if…

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Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

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: Find an equation for the line tangent to the graph of the given function at the indicated point. x3…

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Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: Find the equation of the tangent line to the graph of the function f (x) = a+3 at the point (0,-).…

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Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: Find the point P on the graph of the function y=√x closest to the point (5,0) The x coordinate of P…

A: Since, we have to find a point P on the graph of the function y=x -(i) closest to the point…

Q: Find the equation of the line tangent to the graph of the function at the indicated point f(x) = x?…

A: Given curve :

Q: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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Q: Write the equation of the line tangent to the graph of y² = − ly + 1x + 4 at (-2,-2). The equation…

A: We have to find the equation of the tangent.

Q: If an object moves along a line so that it is at y = f(x) = 9x-2x at time x (in seconds), find the…

A: Given query is to find the instantaneous velocity of the object using derivative.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

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Q: Find the slope of the line that is tangent to the graph of f(x)=3x²-2 at P(-3, 25). O -3/25 O 27 O…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 49. Find the slope of the curve y = (2x2 - x+ 3)(x + x+1) at (1, 12).

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Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: Bonus: Find the equation of the line tangent to f (x) = 3x – e-5x when x = 0.

A: Given: fx=3x-e-5x To Find: Equation of the line tangent to fx, when x=0. Concept: Equation of Line…

Q: Find an equation for the tangent to the curve at the given point. y = x3/2 , (5, 62.5)

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Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: