Find the volume of the solid bounded by the surface z= xsquareroot(x^2 + y) and the planes x=0, x=1, y=0, y=1, z=0
A cardboard box with a lid is to have a volume of 32,000 cm^3. Find the dimensions that minimize the amount of cardboard used.
If the length is 5 inches longer than the width.. the area is 84 in^2, what are the dimensions of the object?
Just a note on notation: X*_w* is X* (set of all linear functionals) with a weak-* topology (the weakest topology in which all functionals are continuous) This posting is for #1 See attached. Let Y be a topological space...
(a) Find the volume of the unbounded solid generated by rotating the unbounded region of y=e^(-x) with x>=1 around the x axis (see the attached figure) (b) What happens if y=1/sqrt(x) instead?
How do you feel about mathematics now that you have completed MAT 115? Describe some coping mechanisms you developed in MAT 115 that you can use for your next math course. Example: Find the GCF of 24 and 18 Example: Calculate the area of a circle that has a radius of 8 cm (use 3.14 for pi). Example: Calculate the area o
Please solve the following: Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
Will you give insight as to how I can grasp the concepts of angles?
Find an angle between 0 and 2pi that is coterminal with 51pi/2
See attached page for the rest of the question Let P be a point not on the plane that passes through the points Q, R, and S. Show that the distance d from P to the plane is....
Draw a rectangular box that has P and Q as opposite vertices and has its faces parallel to the coordinate planes. Then find the coordinates of the other six vertices of the box and the length of the diagonal of the box P(1,1,2) Q(3,4,5)
The shape for a rectangle was one which the ratio of the length to the width was 8 to 5, the golden ratio. If the the length of a rectangular painting is 2ft longer than its width, then for what dimensions would the length and width have the golden ratio.
Regular Polygons - 1. The area of a regular hexagon is 900ft². Find the length of its side and the radius of the circumscribing circle. 2. Find the perimeter and area of a decagon inscribed in a circle of radius 10 inches.
1. The area of a regular hexagon is 900ft². Find the length of its side and the radius of the circumscribing circle. 2. Find the perimeter and area of a decagon inscribed in a circle of radius 10 inches.
Regular Polygons - 1. A regular hexagon is inscribed in a circle of radius 8 inches. Find the length s of its side. 2. Find the area of a regular octagon that can be inscribed in a circle of radius 18 inches.
1. A regular hexagon is inscribed in a circle of radius 8 inches. Find the length s of its side. 2. Find the area of a regular octagon that can be inscribed in a circle of radius 18 inches.
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1. Please show in detail thank you.
Another definition of a regular tessellation is one whose vertex figures are identical regular polygons. A vertex figure is made by connecting the midpoints of all the edges which touch a given vertex. (1) Sketch the vertex figures for the regular semiregular tessellation of the plane and verify the definition. (2) The
Please explain thoroughly the solution for the problems. 1 .What is the complement of the supplement of an angle measuring 130 degrees?
How to find the supplementary angles of this. 1. 71.57° 2. 2π / 3.
1. Find the slope of the line containing the points (-3, 4) and (5, 4). State whether the line is vertical, horizontal, or neither. 2. Find the slope of the line containing the points (-2, -5) and (-2, 6). State whether the line is vertical, horizontal, or neither 3. Write an equation in slope-intercept form, , of the line
Give an indirect proof of the theorem. 1. If two lines are parallel to a third line then they are parallel to each other 2. Solve the equation S=(n-2) 180 degrees for n when S is a given value. Find the number of sides of the polygon ( if possible) if the given value corresponds to the number of degrees in the sum of the in
To construct a regular 5-gon , first draw a circle with the center O. Then proceed to find on the circle the vertices V1, V2, V3 and V5 of the Regular pentagon as follows: ___
Calculate area using polar equations. See attachment.
Directions. 1.Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by the triangle with vertices (1,0), (1,2),(3,2) 2.Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis. y=2/x (this is 2 over x, couldn
I am to draw any thee non collinear points. I am to construct a circle containing them on its circumference. Can you construct a different one? How many different circles are thee through the three points? Can you construct a circle through three collinear points.
5)convert 5 =5cos(theta) to a rectangular equation. Use the rectangular equation to find the center and radius. Please explain the steps in this.
Let R1 and R2 be two rays with a common vertex with an angle strictly less than pie(3.14). Construct the angle bisector ray B. In the setting of the previous problem, if you were given R1 and B, how would you construct R2?
Suppose L is a given line and A a given point. Construct the reflection of A about the line L.
Suppose the three vertices A, B and C of a parallelogram ABCD are given. Construct the fourth vertex D.
Given two distinct points A and B in the plane, construct the midpoint of the line segment AB.
Exercises 4, 10, 20. 4. Find the circumference of each figure. Use 3.14 for [ ] and round your answer to one decimal place. In a circle for 3.75 ft 10. Find the perimeter of the curves is semicircles. Round answer to one decimal place 10 inches. 20. Find the area figure of 5 inches and 7 inches.