Direction: Find the standard (slope-intercept form) equation of the tangent line to the following functions at the specified point. Show your solution on a separate sheet of paper. 1. f(x) = 3x2 – 12x + 1 at point (0,1) 2. f(x) = 2x2 – 4x + 5 at point (-1,11) %3D

Q: ) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а?…

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Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the…

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent…

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6)…

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)…

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

Q: Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2)…

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

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Q: the followin X + 3 y = X - 4 Find the slope m of the tangent line at the point (3, -6). %3D

A: since there are multiple questions , first one is answered, step by step. Kindly resend for further…

Q: Find an equation of the line that is tangent to the graph of y = /1+x³ at the where r = 2. Write the…

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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: Determine the point(s), at which the graph of the function has a tangent line with the given slope.…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

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Q: The equation is y= (3x-5)/(2x-1). Find equation of the line tangent to the graph of function when…

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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: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

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 a function y = ax? + ba + c whose graph has an x-intercept of 1, a y-intercept of –5, and a…

A: Note:- According to our guideline i didn't solved multiple questions, so please again repost the…

Q: Find y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

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

Q: c) Finally, draw a large and clear sketch of the graph of f(x) = 2² – 2 and illustrate the tangent…

A: The point slope form y-f(x0)=f'(x0)(x-x0) is the standard equation for tangent line, where (x0,y0)…

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 of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Vx-1 Find the slope-intercept equation of the tangent line to the graph of at the point x2+1…

A: This question is based on knowing how to calculate slope from a given function at a point.

Q: ax²+bx+c whose graph has an x-intercept of 1, a y-intercept of -4, and a tangent line with a slope…

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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 slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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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: h(x) = -3x° – 5x + 20r + 60r

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Q: Find an equation for the line tangent to the graph of f(x) = 5xe" at the point (a, f(a)) for a = 1.…

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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: 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 the straight line described below. At right angles to y = e* at the point where…

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

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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 a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: f(x) = 3x? – 11æ – 7 ; a = 2 The slope of the tangent to the curve at a = 2 is

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Q: What is the equation of the tangent line of y= -2x + 5 at any point? A. y = 2x - 5 B. y = -2x + 5 C.…

A: Given y = -2x + 5

Q: 2) y=- x+1 “F业 at -1,- 2) Ay

A: We have to find the equation of tangent line

Q: Consider the following curve. y = V1 - 24x Find the slope m of the tangent line at the point (-1,…

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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: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: A. Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Given  y = 2x² + 4x.        (-2, 0) To find slope & equation of tangent line:

Q: help pls and thanks.   find the equation of the line tangent to. f(x)= (2x^2-x)/x    at point (1,3)

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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: 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 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 line that is tangent to the graph of f and parallel to the given line.…

A: Given: function fx=2x2Line 4x-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: 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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