8. Use the graph of f(x) = 2x2 – 5V2x + 3 to sketch the graph of f (x) – 3. %3D

Q: The region between the graphs of f(x)=x^2+3 and g(x)=−x+5 has ____________area square units.

A:

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

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: Consider the following. 1 y = 3 – 3x2 + 8x + 1 Find the relative maxima, relative minima, and points…

A:

Q: Consider the following. Kx) = 3+ 4x -* Find all relative extrema. (If an answer does not exist,…

A: Relative maxima and minima

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

A:

Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

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

A:

Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

A:

Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

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: snip

A: Consider functions g(x) ,g(x+a), and g(x-a). To get the graph of g(x+a) shift the graph of  g(x), a…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

A:

Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

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

A: y=2x

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

A:

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

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

A: Solve the following

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: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

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

A:

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is

A: The graph of region bounded by curves y=3x-x^2 and x-axis is

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

Q: A rectangle is constructed under the graph of f(1) = 4x with one corner at (8, 0) and one corner on…

A:

Q: The region between the graphs of f(x) = x² + 3 and g(x) = x + 9 has area square units.

A: SOLUTION-

Q: Consider the following. 1 y = x - 3x2 + 8x + 1 Find the relative maxima, relative minima, and points…

A: The graph of the function is

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

A:

Q: Match the horizontal asymptote with its corresponding function. 5x+2 f(x) = 3x2 + 1 a. f(x)= 2x2+1…

A:

Q: Find the extrema of f(x,y) = -2x² + y taken on the graph of x + y? = 0.

A:

Q: The degree of f(x) is [odd and the leading coefficient is negativev. There are real zeros and…

A: Consider the graph

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: Use the graph of f(x) = ex to obtain the graph of g(x) = eX. %3D %D

A:

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of g at x=3 is…

A: Given that: The line tangent to the graph of f at x=3 is y=4x-2 and the line tangent to the graph of…

Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

A:

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: