78. For what values of x does the graph of f (a) = x³ + 3x? + x + 3 have a horizontal tangent? %3D 70

Q: Given the function g(x) = 2^x , along with the tangent line to the graph at x = 0, may you help me…

A: g(x)=2x  , Tangent line at x=0 Apply definition of derivative g'(x)=limh->0.01g(x+h)-g(x)hReplace…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

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Q: 7/8 For what value of x does the graph of f(x) = x8e* have a horizontal tangent?

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Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

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Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to…

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

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Q: The function f whose tangent has slope x3. +2 for each value of x and whose graph passes through the…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: Let P=(x,y) be a point on the graph of y=x2-5  a) Express the distance d from P to the origin as a…

A: P=(x,y) be a point on the graph of y=x2-5

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line?…

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Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: Find k such that the line is tangent to the graph of the function.

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4…

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Q: Find k such that the line is tangent to the graph of the function.

A: The function is given as fx=kx......(1) The line is given as y=x+4......(2)

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?;…

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Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

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Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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Q: Graph the functions in excercise

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Q: For what value(s) x does the graph of f(x) ==- x² + 3 have a horizontal tangent? For what value of…

A: For horizontal tangent first derivative must be zero

Q: 5. Determine the area of the largest triangle that can be formed in the first quadrant by the…

A: The area is found by making a function of area into a variable and finding the values at which…

Q: Assume both the graphs of ƒ and g pass through the point(3, 2), ƒ′(3) = 5, and g′(3) = -10. If p(x)…

A: Given that the graphs of ƒ and g pass through the point (3,2). So, f3=2g3=2 Also, f'3=5g'3=-10

Q: 1. Match the equation of the following functions to the appropriate graph. Justify your answer. . ..…

A: The given function is, i) f(x)=22(x-3)+2ii) h(x)=-122x+2-2iii) g(x)=12-x+1-2iv) k(x)=-2x-3+2

Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

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Q: Based on data for the years 1910-2007, the expected life span of people in Country A can be…

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Q: A particle is moving on the x-axis and the position of the particle at time t is given by x (t),…

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Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

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Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

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Q: Calculate G' (-2) to 3 significant figures where G(x) = (4x – 2)1º (-4x² + 3x + 4)12

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Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

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Q: 46. The following equation is used to calculate the aver- age firing rate f of a neuron (in spikes…

A: The equation fx=20e3x2.1+e3x is used to calculate the average firing rate f of a neuron (in spikes…

Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

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Q: 7.) 2Ct f(xJ= x /メ+4 メ+5

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Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: The graph f(x) has horizontal tangents when x = 3 f'(x) 2+ 2 -1 0

A: Horizontal tangents have slope = 0. ie slope of tangent = f'(x)

Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The given curve is fx=3-2x and point is x=3 The slope of tangent on a curve f(x) at x=a is given by,…

Q: Given the graph of f(x) below, for what value(s) of x is f(x) non-differentiable?

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Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: 6. Find the values of x for which the line tangent to the graph of f (x) = 4x2 – 3x + 2 has a…

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Q: Find the equation of the line tangent to the graph of f(x)= -(1/6)x^2 at x=3

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Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…

Q: Q9. For what values of x does the graph of f(x)=x-2sin(x) have a horizontal tangent? *

A: As per Bartlebys expert answering policy, we can only answer one question with its three subparts,…