Approximate the zero correct to two decimal places.    f(x) = 2x4 - 24x3 - 5x2 - 12x - 3

Q: Find the point "P" on the graph of the function y=sqrtx closest to the point (10,0)  The x…

A: Let the point is (x,y)= (x,sqrt(x))Distance of (x,sqrt(x)) from (0,0) is D

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .0614t , where t is the…

A: The explanation of the solution as follows:

Q: The function f(x) = 4ᴫx3/3 describes the volume, f(x), of a sphere of radius x inches. If the radius…

A: f(x) = 4πx33 Volume of sphere , f(x) = 4πx33 where,  x is the radius of sphere in inches.…

Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

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Q: Find the point P on the graph of the function y=sqrtx closest to the point (9,0) The x coordinate of…

A: We have to find the point P on the graph of the function y=x closest to the point (9,0). Also, find…

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: Solve f(x) = (1/5)x where f(x) = 0 ( do not convert it to decimal form)

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Q: A conservation commission estimates the reproduction function for rainbow trout in a large lake to…

A:

Q: Given the function​ f, find the slope of the line tangent to the graph of f-1 at the specified point…

A: Obtain the inverse of the given function as follows:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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Q: which shows the function f(x)=7x after a vertical translation down 4 units

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Q: A conservation commission estimates the reproduction function for rainbow trout in a large lake to…

A: Given:

Q: Find all values of x such that the slope of the line tangent to the graph of f(x) is 0: f(x) = 3x* +…

A: Given : f(x)= 3x4 +4x3-36x2+6343

Q: Find the slope of the line tangent to the graph of each function at the given point. f(x) = x3 - 2x;…

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Q: Determine where the function ?(x) = √2x2 − x − 3 is NOT differentiable. (All under square root)

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Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) 9(x) =…

A: x= 0 is the inflection point Therefore (x, y) =(0, 0)

Q: The number of White Sturgeon in thousands can be modeled by f(x) = 170(0.82)*in a particular region,…

A: givenf(x)=170(0.82)x when f(x)=7then7=170(0.82)x(0.82)x=.041taking log on both…

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

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Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: 1. f() 3 2х + 3

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Q: Q4) (x.y) = xs -xay? is harmonic ? Does the function

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Find the point on the graph of the function f(x)= (x+1)? that is closest to the point (-5, 1) .…

A: Givenfx=x+12Closest to point −5,1

Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

A:

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

Q: Find the equation for a radical function.in the form y = avx-h+k with intercepts of G.0) and (0,-1).

A: Consider the intercept points, 54,0    and    0,-1

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

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Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: Q2: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx = 1.

A: There will be two tangents. The detailed solution is as follows below:

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by

Q: Find values of f(x)=In(x+3)+3: domain? range? asymptote? y-intercept? x-intercept?

A:

Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

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: The equation is f(x)=(9-4x)^(-2). Find equation of the line tangent to the graph of the function…

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Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = 2x3 – 18x?

A: I am going to solve the given problem by using some simple calculus to get the required result of…