The parabola y=(1/2)x² divides the disk x² + y² ≤ 8 into two parts (see figure). Find the area of each part. To solve this problem, perform the following i. Find the points of intersection.  ii. Let A₁ be the region bounded by √(8 - x²) above by the parabola below. (a Trig substitution will be needed) iii. Let A₂ be the region bounded by the parabola above and by the disk below. (area of the disk- area of A₁)

Q: Use Desmos to graph y=sqrt(2−x). Find the maximal area of a rectangle with the following properties:…

A: use the demos to graph the function and draw a rectangle according to the given instructions as we…

Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

A:

Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

A:

Q: solve for the point on the graph y=√3x+ 2 that is closest to (3,0). What is the minimal distance…

A:

Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.…

A: Given,  The rectangle is inscribed in a circle of radius r. To find the dimension of the rectangle…

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: To find the maximum of Volume we use dV/dx=0

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 -…

A:

Q: ƒ(x) = √√x - 12/1x²³/2 about the x-axis for 1 ≤ x ≤ 3. 3

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 25 -…

A:

Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

A: