DEVELOPMENTAL MATHEMATICS
4th Edition
ISBN: 9780134896014
Author: Martin-Gay
Publisher: PEARSON
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Chapter 1, Problem 19GRT
To determine
The best estimate for 87 + 86 + 91 byrounding and without calculating.
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Q1. Write the following Babylonian numeral (base 60) as a Hindu-Arabic numeral (base 10). Show your work.
a) <
Q4. A tribe has been located in a remote area in South America whose system of numeration uses the following
symbols, as shown with their Hindu-Arabic equivalents:
0
1
2
3
4
5
6
A
Σ
Ꮎ
Y
0
U
L
a) Scientists in this tribe have measured the radius of the earth as we know it in base ten to be 6371 km.
Convert this value to the numerals used by this tribe. Show your work.
D
b) Convert the following number to base ten:
Q10. Perform the following divisions in base seven. Show your work.
0
a)
12) 456
b) 25 ) 1463
c)
31 6054
31)
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- CQ3. Convert the following numbers to Hindu-Arabic numeral in base ten. Show a) E0C8 hexadecimal your work. b) F41 Ahexadecimalarrow_forward3. [-/2 Points] DETAILS MY NOTES SESSCALCET2 7.4.013. Find the exact length of the curve. y = In(sec x), 0 ≤ x ≤ π/4arrow_forwardCalculate a = x+y, b = z + 1, then keep numbers a and b. Questions marked with *** are to be graded. 1. Use the initial and final value theorems to determine x(0*) and x(oo) for the following transforms: a(s+2) *** a) X(s)= s(s+b) 2(s+2) b) X(s)= s(s+a)(s+b) 2. Obtain the inverse Laplace transform for the following transforms. a) F(s)= as+b b) F(s)= 5s+2 (s+a)(s+b)² 3. Obtain the solution x(t) of the the following differential equations: a) x+ax=0, x(0)=b, x(0) = 0 b) 2x+2x+x=a, x(0)=0, x(0)=b 4. Obtain the inverse transform of the following. If the denominator of the transform has complex roots, express x(t) in terms of sin() and cos(). *** a) X(s)= b) X(s)= 4s+a +8s+b s³+as+6 s(s+b) 5. Determine the unit-step response, f (t) = u(t) of the following models. Take zero initial conditions. a) ax+20x+bx = f(t) b) x+ax+bx=3f(t)+2f(t)arrow_forward
- In a survey, the planning value for the population proportion is p 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.03? Round your answer up to the next whole number. 800 {arrow_forwardQ/ calculate the Fourier series of f(x) on the given interval f(x) = x Sin X 9 -arrow_forwardQ 2/ Calculate the Fourier series of f(x) on the given interval f(x) = x Sin X - 16 x ≤ メarrow_forward
- H.w WI M Wz A Sindax Sind dy max Утах at 0.75m from A w=6KN/M L=2 W2=9 KN/m P= 10 KN B Make the solution handwritten and not artificial intelligence because I will give a bad rating if you solve it with artificial intelligencearrow_forward2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?arrow_forwardSolve by DrWz WI P L B dy Sind Ⓡ de max ⑦Ymax dx Solve by Dr ③Yat 0.75m from A w=6KN/M L=2 W2=9 kN/m P= 10 KN Solve By Drarrow_forward
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