1. In the manufacturing process, ball bearings must be made with radius of 0.5mm, with a maximum error in the radius of +/- 0.016 mm. Estimate the maximum error in the volume of the ball bearing. Solution: The formula for the volumen of the sphere is _____. If an error deltaR is made in measuring the radius of the sphere
Question 11A Guest needs material to finish a room in a basement. The room is square and one wall measures 15'. The height of the room is 8'. There is one door that measures 3' wide and 7' high, and two windows that measure 3' wide and 4' high. The Guest is covering the walls with 1x6 carsiding (we will say that it covers 5"
Glenda Everson Math 1002 Practice Problems 1. Use inductive reasoning to predict the next three numbers in the pattern (or sequence). 4, −20, 100, −500, . . . Step 1: Form a Hypothesis: Step 2: Make observations related to the hypothesis: Step 3: Come to a conclusion: 2. Flying West New York City is on easter
Math Assignment Directions: If you are using Microsoft® Word 2007 and plan to insert equations into this document using Equation Editor, go to the Insert tab, click Object, and select Equation Editor 3.0. Equation Editor allows you to easily insert equations into this document. 1. A cylindrical hockey puck is 1 in. high a
1. Use the following figure to find out the following. [Please refer to the attachment for the figure and questions] 2. Angle PQR and Angle ABC are complementary angles and Angle PQR is eight times as large as Angle ABC. Determine the measure of each angle. Please show all work step by step. 3. A recreation room has the f
Please See attachment for full problem description. The solid within the cone phi= pi/4 and between the spheres rho = 1 and rho = 2.
Week Four Assignment - Ch. 5 Cumulative Test Problems 5.1 22) 34) 46) 5.2 20) 36) 46) 5.3 28) 34) 42) 5.4 56) 60) 70) 5.5 32) 52) 70) 5.6 20) Science and medicine. A small business jet took 1 h
Suppose that the lift force F (M L T-2) on a missile depends on characteristic length scales D (L) and r (L) of the missile. Additionally, F may depend on the air density ρ (M L-3), the viscosity µ (M L-1 T-1) and missile velocity v (L T-1) . a) Develop a model for the lift force F. b) Find two other possibili
Truth tables are related to Euler circles. Arguments in the form of Euler circles can be translated into statements using the basic connectives and the negation as follows: Let p be "The object belongs to set A." Let q be "the object belongs to set B." All A is B is equivalent to p -> q No A is B is equivalent to p -> ~q
1. An ecology center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000 . Find the dimensions of the garden. 2. A landscape architect has included a rectangular flown bed measuring 9ft by 5ft in her plans for a new building. She wants to use two colors of flowers in the bed, on
3. a) Let M be a connected topological space and let f : M ---> R be continuous. Pick m1,m2 2 M and suppose that f(m1) < f(m2). Let x 2 R be such that f(m1) < x < f(m2). Show that there is m M with f(m) = x. (Hint: Use a connectedness argument.) b) Give R1 the usual product topology as the product of infinite copies of the rea
Please help with the following problem. Let M = SL(2) be the set of 2 × 2 matrices with unit determinant. Show that, when regarded as a subset of R4 under ( a b ) ( c d ) <--> (a, b, c, d) Exists R4 and equipped with subspace topology, SL(2) becomes a 3-dimensional topological group. That is, show that (i) SL(2) is a g
Using the shell method to find volume generated when the region bounded by y=5x, x=0, and y=20 is revolved about the y axis.
Out of class activities that I could employ to make students aware of congruent objects could be: - running - playing soccer - drawing pictures in the school yard Hoe does running and playing soccer make students aware of congruent objects?
How many lines of symmetry, if any, does each of the following figures have? (Please see the attached file for the fully formatted problems)
15 Problems : LCM, GCD, Geometry, Word Problems and Primes ... (Please see the attached file for the fully formatted problems)
Please see the attached file for the fully formatted problems. 1.Factor each number into ... 2. Paula and Ricky are serving cupcakes ... 3.What is the smallest number divisible by ... 4. 27, ... 5.Find the GCD of ... 6.Find the LCM of ... 7.Find a pair of ... 8.Is 493 a prime ... 9.How many divisors ..
Find the median of each set of numbers. 14. 1, 4, 9, 15, 25, 36 Find the mode of each set of numbers. 18. 41, 43, 56, 67, 69, 72 20. 9, 8, 10, 9, 9, 10, 8 Solve the following applications. 24. Statistics. A salesperson drove 238, 159, 87, 163, and 198 miles (mi) on a 5-day trip. What was the mean number of mil
Consider a regular tetrahedron with vertices: (0,0,0) , (k,k,0) , (k,0,k) , and (0,k,k) a) sketch the graph of the tetrahedron b) find the length of each edge c) find the angle between any two edges d) Find the angle between the line segments from the centroid ( k/2, k/2, k/2) to two vertices.
Suppose a pyramid has a retangular base whose width is 5 centimeters less than its length. If the height is 1 centimeter and the volume is 12 cubic centimeters, find the length of the base. (V=1/3Bh)
1. Find the area of a sector having a central angle of 60° in a circle of radius 8 inches. 2. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft. 3. A point on the wheel of radius 10 feet moves with a linear velocity of 40 feet per second. Find the angul
See attached The volume of a solid sphere of radius r is given by the equation V=(4/3)pir^2. Derive this equation by using either the disk or shell method for finding the volume of a solid of revolution.
See attached The deck of a sailboat is made up of 2 intersecting parabolas with dimensions as shown below. Find the area of the deck.
See attached Let X=(-1,1) be equipped with topology inherited from R...
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?
(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
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