The curve shown in the coordinate plane represents the lifespan t of a certain plant versus the number n of plants per square inch. t = T(n) The average life span tavg(n) of the plants is T(n)

Q: EVALUATE. Find the equation of the family of curves whose slope at any point (x,y) is -4e-2xsin2x.…

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Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

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A: To find the slope and equation of the tangent line to the function fx=ln2x2+2x-11 at point P(2,0).

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Q: 98. Find the points on the graph of y = 2x6 – x* - 2 at which the tangent line is horizontal.

A: Find the points on the graph of  y=2x6-x4-2at which the tangent line is horizontal.

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A: The given equation of the curve: y=-3x+x2+2

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Q: Find the equation of the line tangent to the curve f(x) =x + at the point (5, 26/25)

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Q: The curve for which y'' = 6 has a slope of –3 at its point of inflection (2, 3). Find the value of y…

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Q: aph ea between the curve by y = x³ - 10x² + 16x and y = -x³ + 10x² - A B

A: using the graphing software plot the graph of the first equation y=-x3-10x2+16x

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A: For finding horizontal tangent line we have to find slope of the function and set it to zero y'=0

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Q: Find the slope of (1:2) the curve at the given point %3D

A: Given, x+2y2=x+10 Find the slope of the above curve at the point (1, 2).

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Q: 7. Determine the equation of the function with zeros at ±1 and - 2, and a y-intercept of-6. Then…

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Q: 7) f) = Sx + 12x -7x at a point where x -1

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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.…

A: Slope will be same and there will be 2 equations.

Q: Use the guidelines of this section to sketch the curve   y = x e -1/x

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

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Q: 3. Trace the curve y (x-1)(x+3)'

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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…

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Q: Find the x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

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Q: Use a graph to estimate the coordinates of the rightmost point on the curve x=  t - t 6 y = et…

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Q: 2-x )Use the guidelines of this section to sketch the curve y3x-12VX.

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: The curve for which y" = 6 has a slope of -3 at its point %3| of inflection (2, 3). Find the value…

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Q: Find the equation of the line tangent to the curve f(x)=x+ at the point (5, 26/25) 1 %3D

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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: 2. Find the slope of the curve y 3x +1 at the point (-0). Draw the graph of the curve. KIVERSIT TLOU

A: Solution:Giveny2=3x+1  at -13,0To find Slope of the curve and Draw a graph of the…

Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any…

A: Given: The graph of y=fx passes through the point 9, 4. Also the line tangent to the graph at any…

Q: 2. Find the slope of the curve y = 3x +1 at the point (-0). Draw the graph of the curve.

A: GIVEN y2=3x+1 at(-1/3,0) we need to find the slope of the curve and graph the curve

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Q: A point P in the first quadrant lies on the graph of the function ƒ(x) = 2x. Express the coordinates…

A: Plot the function with its slope as follows.

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Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time † that…

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Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

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Q: An object is moving along the curve y=x2−2x+3. Find a point on the curve at which the y−coordinate…

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

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Q: The pollution level in the center of a city at 4 am is 22 parts per million and it grows in linear…

A: Form a differential equation of first order and simply solve it.

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