From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x = -3. %3D

Q: A bowl has a shape that can be generated byrevolving the graph of y = x2/2 between y = 0 and y = 5…

A: The Volume of the bowl is given by

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 4 – 3 x, and the line…

A: Given: f(x)=4-13x If the given line is y=mx+c with slope m then the slope of a line perpendicular to…

Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 – -x, and the line…

A: Given data:     The expression of the first equation of the line is: f(x)=5-2x/3. The second…

Q: find the points of inflection and discuss theconcavity of the graph of the function. y=x-\ln x

A: Consider: y=x-ln x. Find the inflection points and concavity of function. First find the domain of…

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: Graph the functions in excercise

A: Solution:Giveny=9-x

Q: The graph of f (x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A: Given that fx=x is reflected over the x-axis shifted vertically up 1 unit ,horizontally compressed…

Q: Sketch the graph of the function y=ln(x+1)−1.

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Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

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Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: By experimentation, determine the approximate value of a (where 3 < a < 4) at which the graph…

A:

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

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: Finding the g'(4) from the given conditions.

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

A:

Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

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Q: Does the given equation define an implicit function around the point (y=3, x=1) and why?

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Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

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

A: given graph

Q: Use the graph of the function f to find approximations of the given values. y 4-

A: To find the values of f at x= a,  we imagine the vertical line x=a and where the vertical line…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: Match f(x) with its graph without using a calculator. -… (x)

A:

Q: 3. For what value of x does the graph of f (x) = e* – 2x have a horizontal tange

A: Solve the following

Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular…

A: We have to find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line…

Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=-…

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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: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

A:

Q: The graphs of a function f and its derivative f' are shown. Which is bigger f (-1) of f'(1)? See…

A: Given : The graph of f (x) and f ' (x) .   To determine :   Which is bigger : f (-1) and f ' (1) .

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

A: In the question it is asked to calculate the value of g'(4) for g(x)=f(x). for the graph given…

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: Show that the equation y^2=x determines an infinite number of implicit functions.

A: Consider the given equation: y2=xSolve in terms of y:y=±xSo, there are two functions that can be…

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

A:

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

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

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Q: What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO…

A:

Q: Suppose that the graph of x = f(y) lies to the left of the y-axis. Is f(y) dy positive or negative?

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Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: Find an equation of the line tangent to the graph of f(x) at the point (5,9): f(x) = e-3x-1o + 8

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Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

A:

Q: Find a formula for a function that has vertical asymptotes x =1 and  x = 3and horizontal asymptote y…

A: Given that a function has vertical asymptotes x=1 and x=3 and horizontal asymptote is y=1. To find…

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 3 (18,…

A:

Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…