1. A semicircle of radius r = 6x is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure. a. Express the area A of the rectangle as a function of x. 6x

Q: A new running track is to be constructed in the shape of a rectangle with semicircles at each end…

A:

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

A:

Q: Consider the function below. f(x) = a° – 122? Find all the critical numbers. Give your answer as a…

A:

Q: Find the absolute extrema of the function on the closed interval.

A: Differentiate the function h(t)=tt+3 by using the property…

Q: 1. Below is the graph of a function y = f(x). Estimate the area underneath the graph over [-3, 3]…

A: Since, you have posted multiple questions, but according to guidelines we will solve first question…

Q: Practice question 5.3

A: Graph the following functions based on f(x)=|x|G(x)=|x-1|+1H(x)=|x+3|-2

Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

A:

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: We have to find ∆c and c'(x).

Q: 6. Find the inflection points of the previous function and identify regions for which the function…

A:

Q: The volume V of a right circular cylinder of height h and radius r is V = πr 2 h. If the height is…

A: Given: The volume of a right circular cylinder is, V=πr2h . Here, h is the height of the cylinder…

Q: 3- For the function shown below, the total area is (a) (b) 0 (0)

A: The graph of the function fx=x2-4x+3 is given below:   The objective is to find the area of the…

Q: The temperature of points on a plate x2 + xy + y? <1 is modeled by the function f(x, y) = 25(x² +…

A: Given: The temperature of point on a plate x2+xy+y2≤1 is model by the function is : f(x, y)=25 x2+y2…

Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

A:

Q: Here are graphs of the area covered by two different types of mold d days after they were first…

A:

Q: The area of a parallelogram bounded by the y-axis, the line x=6, the line f(x) =6+2x, and the line…

A: The line parallel to y = 2x +6 will be of the form y = 2x + k…

Q: A rectangular piece of cardboard measuring 16 in by 24 in is to be made into a box by cutting equal…

A: solution is given below

Q: 5.) Where is the function l(x) = + – 2x + 10 concave up? Concave down? |3D

A:

Q: 3 What is not true about the function f (x) = –3[2(x – 4)]° + 4? O horizontal compression by a…

A: Given function f(x)=-3[2(x-4)]3+4 Its clear that the parent function is f(x)=x3

Q: Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: By Bartleby policy I have to solve first 3 subparts.

Q: A spherical balloon with radius r inches has volume V(r) =Tr'. Find a function that represents the…

A: First, we are given the formula for the volume of a sphere…

Q: 7. Use the graph of f(x)(above) and your best calibrated eyeball to approximate the value of f(x) dx…

A: We can use trapezoidal rule for finding the integration.

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Describe the impact the a-value has on the following function: y = 3(x – 1)2 +1 %3D

A:

Q: One method to obtain an approximate solution is to plot the function and determine where it crosses…

A: True  is correct ans

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 T, and the line perpendicular…

A:

Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 9 and g(x) = -x + 6 and the…

A:

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

A: Given :-  Approximate the area under the following curve and above the x-axis on the given integral…

Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

A:

Q: The volume V of a right circular cone is If the height is twice the radius, express the volume V as…

A: The height is twice the radius

Q: If a box with a square cross section is to be sent by a delivery service, there are restrictions on…

A: Volume can only be positive.We know that is x^2 is always positive , so for V to be  positive,…

Q: The volume V of a right circular cylinder of height h and radius r is V= π r 2h. If the height is…

A: Volume of a right circular cylinder = V = π r2 h where r is radius of cylinder  and h is height of…

Q: Here is a function of the form f (x) = ab". Which point on the graph immediately tells you the value…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 1 and the line perpendicular…

A: A triangle bounded by the y axis, the line f(x)=10-13x, and the line perpendicularto f(x) that…

Q: Find the area of the region enclosed between f(x) = x² + 5x + 18 and g(x) = 2x2 + 2x. Area = (Note:…

A: Explanation of the answer is as follows

Q: A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the…

A:

Q: If a quadratic function has a dilation rule in the form f'(x) = af (x)´, what will cause a…

A: We have to find out  horizontal dilation

Q: Suppose that 513 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Let x be the width of the corral and y be the height of the rectangular section. And also the…

Q: Drag the function to the appropriate area below. 2 4x 2x 4

A:

Q: Q1) If the radius of a circle is 12 cm, what angle in degrees is subtended by an arc of 4 cm ? 02)…

A: As per our guidelines we are supposed to answer only first questionKindly repost other  as the…

Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

A:

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

Q: A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece…

A: (a) Length of the wire=16 cm Side length of one square= x So, perimeter=x+x+x+x…

Q: Suppose that 489 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A:

Q: The height of a cylinder is four times its radius. Find a function that models the volume V of the…

A: We have to find the function that models the volume V of the cylinder in terms of its radius r where…

Q: A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece…

A: Given query is to find the value of x to minimize the area, and then find the minimum area.

Q: An open rectangular box with a square base has a volume V = x²h where x is the length of a side of…

A:

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given:  From a 12‐cm by 12‐cm piece of cardboard, square corners are cut out so that the sides can…