Draw the graph of f(x)=2-|x|, and use it to find the value of (2–|æ|) dx . -2 Write your answer as an integer, or a decimal rounded to two decimal places.

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: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

A:

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: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: Find the point on the graph of the function that is closest to the given point. Function Point f(x)…

A:

Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

A:

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

A:

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 slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for…

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate…

Q: Does y = e- - 2 exist? What is the domain & range of the function if it does exist?

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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

A: y=2x

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: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

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

A:

Q: Find the point P on the graph of the function y = yx closest to the point (4,0 The x coordinate of P…

A: Given that, graph of function  y=x   We have to find Point P on y which is closest to (4,0)

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: What is the equation for g(x) ?

A: The answer is option (A)  g(x)=x+5

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

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: 9 Given the graph to the right, find f(x)dx. ff(x)dx. 3 10- 8- 6- 4- 2- 0 2 4 6 -8 10 X

A:

Q: Find the point on the graph of f(x)=(x+1)2 that is closest to the point (-5, 1). Round to three…

A:

Q: d). Find the x coordinate of each point of inflection of the graph off on the open interval -3 <x <…

A: d) For a point of inflection of f, f"=0 This means the points will be the critical points of f'.…

Q: Use the graph 70 on the right to evaluate S°f(x)dx

A: Consider the given graph: Divide the region in three parts: First is 0-20 Second is 20-50 Third is…

Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

A:

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

A:

Q: Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2…

A: Consider the graph of a function

Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

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

A:

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: For the function f whose graph is shown, list the following quantities in increasing order, from…

A: ∫0xfxdx represents the area under the curve where the area above the x-axis is positive and the area…

Q: For what value(s) of x does the graph of f(x) = 4x3 - 6x2 - 144x - 24, have a horizontal tangent?

A:

Q: I need the graph of the solution and describe its behavior as t increases

A: Apologies for the inconvenience. The solution is: yt=-1+5t3e-13t [used t place of x in the original…

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: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

A:

Q: The location of the point of inflection in the graph of the function y = x ln x is

A: Given: y = x ln x

Q: In certain conditions, the atmospheric pressure (p) in the height (h) is given by p=29e-0.000034h.…

A: It is given that the atmospheric pressure in the height is given by the function…

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: f(x)=-2x^2+11x+16/e^x (i) Make the standard analysis of the function f(x), that is: (ii) Use (i)…

A: the given function is f(x)=-2x2+11x+16ex the domain of the function is -∞,∞ the function has no…

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

A:

Q: Find the point P on the graph of the function y=√x closest to the point (5,0) The x coordinate of P…

A: Since, we have to find a point P on the graph of the function y=x -(i) closest to the point…

Q: For sketching the function y = 3-e² 2e² determine the following

A: Note: As you asked only for subparts 4, 5, 6, and 7 so, I answered here only that.

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: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

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…