The graph of a function passes through the point (50, 3.6), and y varies inversely as x. Find the value of y when x is 75. A) Calculate the value of k = xy.

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: 100-

A: part a is answered correctly . part b .

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A:

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A: To find the slope of secant line PQ to  the function f(x)

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A:

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A: Given data: The given table is, speed, x(mi/h) 50 55 60 65 70 75 80 85 90 Distance,y (100 m) 20…

Q: Graph the function f(x) = coordinates are -2,0, and 1. 2a? and draw the tangent lines to the graph…

A: Sketch the function.

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A:

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: Let f (x) = Vx. %3D Find the slopem and the point-slope equation of the line tangent to the graph of…

A: If a function gx represents a curve then g'a represents the slope of curve at x=a.

Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

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A:

Q: 57. y = x4 – 8x² + 2 58. y = x³ + x 59. у 3 .2

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Q: Sketch the graph of the function. f(x, v) = y? + 7

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Q: eliminate the parameter to find an explicit equation for y as a function of x.  x=4 - 2t, y=5 + 3t

A: x=4-2t x+2t=4 2t=4-x t=0.5(4-x)

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A: Given y=1x

Q: Write the following function in terms of its cofunction. IT sec 6.

A:

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: A. Plot the following function with clearly labelled axis. x(t) = [1, -2<tsxl, and [0, otherwise]

A:

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Q: as a function of x when y =

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Q: Use the equation mPQ = f(x1+h)-f(x1)/h to calculate the slope of a line tangent to the curve of the…

A:

Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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Q: Find the function U, whose first difference is *C,-

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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…

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x    . e…

A: Derivative of a function is the rate of change of function with respect to another variable.…

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

A:

Q: Determine whether the equation defines y as a function of x. x =  |3y|

A: Given,           x =  |3y|

Q: Which table is related to the parent function of y= z?

A:

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: The slope of the curve when x=e is y = (In 2x)?

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Q: The function f(x,y) = x² + y² corresponds to plot [ Select ] level curve [ Select] >

A:

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

A:

Q: At which of the following angles is the secant function undefined? (1) 45 (3) 180 (2) 200 (4) 270"

A: Basics of Trignometry are used.

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

A:

Q: Determine whether the equation defines y as a function of x. 22. Зх — 5у %3D7 23. Зх2 -

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Explain with drawing the effect of increasing of each value of (A,B and C) on graph of…

A: The given function is: y=A+B sin (Cx)

Q: Find the slope of the function given at the point shown: f(x)=(1+cscx)/(1-cscx)at((\pi )/(6),-3)

A: Given, fx = 1+cscx1-cscx  We have to find the slope of the function at the point π6, -3

Q: The function f(x) = 3x + 10 has a vertical shift of how many units? %3D

A: The graph of the given parabola equation is

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A: Consider the given function fx=x Suppose m be the slope of the line tangent to the graph of the…

Q: The range of y = sec x is ________.

A: The range of y = sec x is ________.   Cosine function only takes values that are between -1 and +1.…

Q: 16. у 3 -5х %3D

A: Given : y=-5x Let :          y=Kx  So constant of variation = K

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

A:

Q: The distance, s, of a moving body from a fixed point is given as 24ei. Find the velocity, v, of the…

A: We will find out the required solution.