(b) Find the area of the region between the x-axis and the graph of f(x) =-x² -2x, where -3

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 area of a triangle bounded by the yy axis, the line f(x)=7−(6/7x) and the line…

A:

Q: The shaded region between the graphs of y = 2x + 20 and y = 3x – 15 is displayed below in 25 -6 Ax -…

A: Given:- y = -2x2+20 , y = 3x-15  To find:-  Area between given curves

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: Find the absolute maximum value of p(x)=−x^2−x+1 over [−1,1].

A: Given function is Differentiating with respect to x To find critical numbers of p(x)  That is ,…

Q: Find the absolute maximum value of g(x)=−2x^2+2x+2 over [−3,5].

A:

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

A:

Q: 3. Find the absolute maximum and absolute minimum values of f(x) = 2x´ - 4ln(x) on the | interval […

A:

Q: A rectangle is constructed under the graph of f(r) = 4x with one corner at (7, 0) and one corner on…

A: Consider the rectangle. The top left corner of the rectangle lies on the curve y=4x2. Thus, the…

Q: Determine a value for p so that f(x)=px2−18x−7 has a maximum at x=−2

A:

Q: What effect does the “k” in F(x)= ^3 √x + k have on the graph of the cube root function if k>0 and…

A: Consider the given function and plot the graph for k = 0. Given, fx=x3+kFor k=0, fx=x3

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: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

A:

Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

A:

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

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: The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections…

A: In the figure, the strip shows the width of the rectangle perpendicular to x-axis.

Q: 1 7. f (x) = 3x² - x + 6 Opens up/down: Vertex: Axis of symmetry:

A: We can answers first three parts of the question as per the honor policy. Please resubmit other…

Q: 2. Find the absolute maximum and minimum values of f(x)= x³ – 3x +1 over the interval [0, 3].

A:

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: As we are making a box, its height must be greater than 0. So we have x>0. As the width of the…

Q: The shaded region between the graphs of y - 2x² + 20 and y = 3x – 15 is displayed below in 25 -40…

A:

Q: 7x + 3y 105 Use the graphing method to maximize f(x, y) = x + 4y subject to 2x + 5y ≤ 59. x + 7y ≤…

A: Given:  Maximize, fx,y=x+4ySubject to the constraints,7x+3y≥1052x+5y≤59x+7y≤70x,y≥0

Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

A:

Q: Find the area of the largest rectangle that can be inscribed in the region bounded by the graph of…

A: Given: y = 4-x2+xArea of the rectangle = xyA = x(4-x2+x)= 4x-x22+x

Q: The average pollen count in a certain city on day x of the pollen season is P(x)=8x − 0.2x2 (for 0…

A: Consider the given function,  Represent the pollen count in a city on the day.   The day, which the…

Q: Find the absolute maximum and absolute minimum of the function f(x) r2-6x + 5 over (1, 6].

A: Given function: fx=x2-6x+5 To find: Absolute maxima and absolute minima over 1,6.

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: What is the maximum number of relative extrema for a polynomial of degree =n?

A: Polynomial of degree n.

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

A:

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

A:

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: Determine the area, in square units, of the region bounded above by f(x)=−8x3−3x2+3 and below by…

A:

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

A:

Q: Estimate the area under the graph of f(x) = 9 + 2x2 from x = −1 to x = 2 using three rectangles…

A:

Q: Find the absolute maximum value of p(x) = -x² – x + 1 over er[-1,1].

A:

Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

A:

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

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: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

A: There are two different questions in the image. According to our guidelines, we can solve only one…

Q: Find the location of the minimum absolute extremum for the function. O A. x= 3 Af(x) 6- O B. x = -5…

A:

Q: Find the area, in square units, bounded above by f(x)=4x2+9x−24and below byg(x)=5x2+21x+3

A: Given: The area lies between the curves fx=4x2+9x-24 which is above and gx=5x2+21x+3 which is below.…

Q: Find the distance between the local maximum and the local minimum values of the function f(x) =x -…

A: n order to find maxima and minima of a function , we have to follow the two stepsStep 1:  Find the…

Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

A:

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Sketch the region defined by the inequalities -1 < r< 2 and -T/2 < 0s T/2.

A:

Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: The degree of f(x) is v and the leading coefficient is There are distinct real zeros and relative…

A:

Q: Find the absolute maximum value of the function f(x) =-z² – 4x – 2 on the interval [3, 3 ]. a) О-2…

A:

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

A: