of the function. y = 9x2 + 18x - 6 rabola with axis of symmetry at x = rabola with axis of symmetry at x = rabola with axis of symmetry at x = rabola with axis of symmetry at x =

Q: Find the intercepts of the parabola whose function is given.  f(x) = x2 + 8x + 7   smaller…

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Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

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Q: Given h(x) = 4 4.1 4.2 Write down the equation of the asymptote of h Determine the coordinates of…

A: In this question, we have to find out asymptote and intercepts.

Q: Make an equation for f(x) and g(x) - f(x) has the y-intercept of 3 - g(x) has one reflection over…

A: Given

Q: If f(r) = 4x? 3x +5, find f'(- 2). Use this to find the equation of the tangent line to the parabola…

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Q: x+2 x³-4x²-12x 1. For the curve y = , find, a. The value/s of x that make/s the function…

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Q: If f(x) 3x? 6x + 3, find f'(4). 3x? – 6x + 3 at the point (4, 27). Use this to find the equation of…

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Q: If f(x) = 4x2 5x + 2, find f'(2). Use this to find the equation of the tangent line to the parabola…

A: Given f(x) = 4x²-5x + 2

Q: Find the points on the curve xy2 = 54 nearest the origin.

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Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: Find the equation of the line tangent to the graph of: y 6 at x = 1 Write your answer in the form y…

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Q: 4 d.x x2 + 16 0.

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute…

Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

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Q: 2. Find the slope of parabola y = ²+3 at any point on the curve.

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the point on the parabola x = t, y = t2, -infinity<=t <=infinity, closest to the point…

A: Consider the required point as (x,y)Consider the formula of distance between the two points.

Q: What is the axis of symmetry for the following quadratic function? y = -4 Oy = -1 x = -4 Dx = -1

A: Given graph of a quadratic function

Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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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: h(t) = (t – 4)(t + 8) - 1) What are the zeros of the function? Write the smaller t first, and the…

A: Given,          h(t)=(t-4)(t+8)

Q: If f(x) = 4x² - 5x + 5, find f'( − 3). Use this to find the equation of the tangent line to the…

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Q: If f(x) = 2x? – 6x + 3, find f'(– 1). 2x2 6x + 3 at the point Use this to find the equation of the…

A: First take the derivative of f with respect to x.

Q: If f(x) = 5x2 - 4x, find f'(2) and use it to find an equation of the tangent line to the parabola y…

A: Given that fx=5x2-4xTo find : equation of tangent at point 2,12 and f'2Solution…

Q: x' 1 + 14 10x° Find the length of the curve y= 13x<2. -

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Q: The function J(x) 5x + 72 has one local minimum and one local maxim This function has a local…

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Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has a x-…

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Q: Find the equation of the new curve C obtained when the graph of the curve C with the equation x 2 −…

A: Find the equation of the new curve C obtained when the graph of the curve C with theequation x 2 −…

Q: Determine the equation of the form y=acos b(x-c)+d,a>0of the function whose graph is shown below. 2T…

A: topic - equation of a graph

Q: x° 1. Find the length of the curve y=; 1 + 12 8x 1<x<2.

A: To find the length of the curve we use formula  ∫ab1+dydx2dxGiven y=x612+18x4 take derivative for y…

Q: The (1) is given by the equation (1) : y = -2x + 3 and let (P)y = x2 + 3.x +1 be a parabola. 1. Find…

A: Answer :

Q: Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² +9ax - 1 never…

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Q: Find the x- and y-intercepts for the following quadratic function. f(x) = 2x2 - 4x – 1 The…

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Q: If f(x) = 4x? – 2x + 4, find f'(1). 4x2 – 2x + 4 at the point (1, 6). The Use this to find the…

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: Consider the following function. t(x)=(x−4)2+7 Step 3 of 4:  Find two points on the graph of the…

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Q: B. 30. What is the vertical asymptote of the curve y = (3x - 4)/(2x +3)? C. x = -2/3 A. x= -3/2 B. x…

A: I have given the answer in the next step. Hope you understand that

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: If f(x) = 3a2 - 7æ +7, find f'(2). Use this to find the equation of the tangent line to the parabola…

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Q: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

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Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: If f(x) = 2a? – 3x + 5, find f'( – 1). Use this to find the equation of the tangent line to the…

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Q: If f(x) = 3x2 – 2x + 5, find f'(2). %3D Use this to find the equation of the tangent line to the…

A: Topic - slope and equation of tangent line

Q: If f(x) = 4x² - 4x + 4, find f'(3). Use this to find the equation of the tangent line to the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: If f(x) = 2x² - 4x + 5, find f'( – 5). -24 Use this to find the equation of the tangent line to the…

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Q: For the curve y = -(x³ – 54), find the equation of the tangent to the curve, which passes through…

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Q: If f(x) = 2x? - 4x + 4, find f'(3). Use this to find the equation of the tangent line to the…

A: Solution of question as follows

Q: If f(x) = 3x - 5x + 2, find f'(5). 25 Use this to find the equation of the tangent line to the…

A: f(x)=3x2-5x+2f'(x)=6x-5   Slope = 25  and point (5,52) To find equation of tangent line y=mx+b we…

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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