Concept explainers
Your friend Noah does not understand why his answers to the questions in Exercises 51 and 52 were marked wrong on an exam. Explain why you think Noah answered as he did. What is he misunderstanding?
When asked if the sets

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- Q5. Add in the indicated base. Show your work. a) A7E4 sixteen+4825 sixteen b) 5442 seven + 5340 sevenarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
- Q1. Write the following Babylonian numeral (base 60) as a Hindu-Arabic numeral (base 10). Show your work. a) <arrow_forwardQ4. 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:arrow_forwardQ10. Perform the following divisions in base seven. Show your work. 0 a) 12) 456 b) 25 ) 1463 c) 31 6054 31)arrow_forwardQ11. Write each one of the following decimals in quotient of integers. Show your work. a) 2.3434 ... b) 4.586 c) 0.368 d) 3.524arrow_forwardQ8. Multiply in the indicated base. Show your work. a) 513 eight x 16eight b) 405 six x 213sixarrow_forwardQ6. Subtract in the indicated base. Show your work. a) 5343 six- 3531 six b) 8BEA sixteen-A3F sixteenarrow_forwardCQ3. 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_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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