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Mathematical Modelling:
1. Enter thedata for the tape probleminto a spread sheet. The physical problem will be explained in class. Estimate the value of the angle A for c = 24cm and w = 15cm in any way.
Circum c/cm
10
20
30
Tape width w/cm
3
5
7
9
11
Angle of Pitch A/deg
17
44
64
---
14
27
33
6
21
4. Suppose you experiment with two different shoes and two different balls to determine the best combination for scoring the highest in bowling.
Below is the data. Can you come to some conclusion as to what may be the best combination?
One possible answer is there is no conclusion.
Note: Each combination was done at random and then put in the order below.
η
Shoes
Ball
176
A1
B1
B2
186
A2
184
180
182
188
The cost of manufacturing a molded part is related to the quantity produced during a production run. When 100 parts are produced, the cost is $300. When 500 parts are produced, the cost is $3900. What is the average cost per part?
a) Find the number of permutations of the letters in the word DIPLOMA. b) How many ways are there of arranging the letters of DIPLOMA so that the letters O and I are together?
Using x as the variable, write a formula to find the perimeter of the figure. use the formula to find the perimeter a regular dodecagon; one side 9.25 cm
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A karate match is held on a square mat that has an area of 676 square ft. what is the length of the mat?
Find the volume of the solid generated by the region in the second quadrant bounded above by the curve y=-x^3, below the by the x-axis, and on the left by the line x=-1 about the line x=-2
One card is drawn from a well-shuffled deck of 52 cards (no jokers). Find the probability of drawing a card above an 8(count an ace as high).
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
Dissolve the polynomial equation 3x3+13x2+7x+1=0 Solving quadratic equations by completing the squar
A moving body is opposed by a force per unit mass of value cx and resistance per unit mass value of bv^2 where x and v are the displacement and velocity of the particle at that instant. Determine the velocity of the particle in terms of x, if it s..
An orange was measured and found to have a diameter of 9.8 cm. When peeled the average thickness of the peeling, t was 6.5 mm and the mass of the peelings was 110g.
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