Homework Answers
a)99!/97! =99*98*97!/97! =99*98=9702
b) 8C7=8!/(7!*(8-7)!)=8!/(7!*1!)=8*7!/7!=8
c)80C0 =80!/(0!*(80-0)!)=80!/(1*80!)=1
d)26C3=26!/(3!*(26-3)!)=26!/(3!*23!)=26*25*24*23!/(3*2*1*23!)=26*25*24/6=26*25*4=2600
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6. (4 points/1 each) Simplify the following as much as possible without a...
Instructions. For each question, show all work leading to an answer and simplify as much as...
Instructions. For each question, show all work leading to an answer and simplify as much as reasonably possible. 1. An amusement-park ride consists of a large vertical cylinder of radius R. The cylinder spins about its axis fast enough such that any person inside is pinned against the wall when the floor drops away. Let p, be the coefficient of static friction between person and wall. Find the minimum speed that the cylinder wall must have to keep a person...
3. (8 points each) Find the derivative of each function. Show as much work as possible....
3. (8 points each) Find the derivative of each function. Show as much work as possible. Do not simplify your answer. 2 (a) f(x) = x-0.5(1 – e2) + 4* + x4 x 2 93 (b) P(t) = + 2-t2 5+5e-3t (c) k(x) = 3 ln(2x +1) VX-5
2. (16 points) In this problem, you will be a math detective! Some of the symbols and functions may not be familiar to you, but with a little digging, reading, and observ- ing, you'll be able to...
2. (16 points) In this problem, you will be a math detective! Some of the symbols and functions may not be familiar to you, but with a little digging, reading, and observ- ing, you'll be able to figure them out. Your task is to simplify each of the following expressions as much as possible, without using a calculator (either hardware or software. Do not approximate. Express all rational numbers as improper fractions. You may assume that n is an nteger...
2) Evaluate the given integral. Must show all work and simplify as much as possible. 21...
2) Evaluate the given integral. Must show all work and simplify as much as possible. 21 Sin e de 5+ 4Cose 0
Show all steps1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 3. (1 point) Suppose out of 24 students, 6 have seen the movie...
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3. (1 point) Suppose out of 24 students, 6 have seen the movie Aquaman, 20 go on Twitter daily, and there are 2 people who have never seen the movie and do not use Twitter daily. How many people have seen Aquaman AND use Twitter daily? Hint: De Morgan's laws, Venn diagrams.
Simplify tan3 θ csc2 θ cot2 θ cos θ sin θ as much as possible. A...
Simplify tan3 θ csc2 θ cot2 θ cos θ sin θ as much as possible. A tall monument is located in the distance. You determine that the angle made to the top of the monument from the ground is 19◦ . The monument is located 200 feet away from the building you are in. How tall is the monument? Find the exact value of cos(16π/3) cos(19π/3) without using your calculator, by finding the value of each of cos(16π/3) and cos(19π/3)....
please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible...
please simplify
Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
Show all steps1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 5. (10 points/1 each) Anthony, Brian, Chelsea, Devin, and Edwin go to Beatty...
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5. (10 points/1 each) Anthony, Brian, Chelsea, Devin, and Edwin go to Beatty Cafeteria together (a) It's busy when they aive. How many ways can they stand in line to get a mediocre sandwich? (b) If the line is formed randomly, what is the probability Brian is first and Edwin is second? (c) If the line is formed randomly, what is the probability they are in reverse alphabetical order? (d) On the menu, there are eight toppings...
Instructions. For each question, show all work leading to an answer and simplify as much as...
Instructions. For each question, show all work leading to an answer and simplify as much as reasonably possible. 1. A 3.00-kg block starts from rest at the top of a ramp having an inclination of 30.0°. The block slides a distance of 2.00 m down the ramp in 1.50 s. Neglect air resistance. (a) Find the magnitude of the block's constant acceleration. (b) Find the coefficient of kinetic frictioti between block and ramp. 2. A small, flat cushion of mass...
Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid...
Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid of a calculator 2. (5 Points) Show all work to determine sin ). without the aid of a calculator 3. (5 Points) Show all work to determine tan(-) Math 37 7/20/10 4. (5 Points) Show all work to determine csc(-) 5. (5 Points) Show all work to determine sec(-420°) 6. (5 Points) Show all work to determine cot(495) Math 37 7/20/10 Name 7. (10...
Instructions. For each question, show all work leading to an answer and simplify as much as reasonably possible. 1. An amusement-park ride consists of a large vertical cylinder of radius R. The cylinder spins about its axis fast enough such that any person inside is pinned against the wall when the floor drops away. Let p, be the coefficient of static friction between person and wall. Find the minimum speed that the cylinder wall must have to keep a person...
3. (8 points each) Find the derivative of each function. Show as much work as possible. Do not simplify your answer. 2 (a) f(x) = x-0.5(1 – e2) + 4* + x4 x 2 93 (b) P(t) = + 2-t2 5+5e-3t (c) k(x) = 3 ln(2x +1) VX-5
2. (16 points) In this problem, you will be a math detective! Some of the symbols and functions may not be familiar to you, but with a little digging, reading, and observ- ing, you'll be able to figure them out. Your task is to simplify each of the following expressions as much as possible, without using a calculator (either hardware or software. Do not approximate. Express all rational numbers as improper fractions. You may assume that n is an nteger...
2) Evaluate the given integral. Must show all work and simplify as much as possible. 21 Sin e de 5+ 4Cose 0
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steps1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
3. (1 point) Suppose out of 24 students, 6 have seen the movie Aquaman, 20 go on Twitter daily, and there are 2 people who have never seen the movie and do not use Twitter daily. How many people have seen Aquaman AND use Twitter daily? Hint: De Morgan's laws, Venn diagrams.
please simplify
Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
Show all
steps1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
5. (10 points/1 each) Anthony, Brian, Chelsea, Devin, and Edwin go to Beatty Cafeteria together (a) It's busy when they aive. How many ways can they stand in line to get a mediocre sandwich? (b) If the line is formed randomly, what is the probability Brian is first and Edwin is second? (c) If the line is formed randomly, what is the probability they are in reverse alphabetical order? (d) On the menu, there are eight toppings...
Instructions. For each question, show all work leading to an answer and simplify as much as reasonably possible. 1. A 3.00-kg block starts from rest at the top of a ramp having an inclination of 30.0°. The block slides a distance of 2.00 m down the ramp in 1.50 s. Neglect air resistance. (a) Find the magnitude of the block's constant acceleration. (b) Find the coefficient of kinetic frictioti between block and ramp. 2. A small, flat cushion of mass...
Math 37 7/20/10 Name 1. (5 Points) Show all work to determine cos(172), without the aid of a calculator 2. (5 Points) Show all work to determine sin ). without the aid of a calculator 3. (5 Points) Show all work to determine tan(-) Math 37 7/20/10 4. (5 Points) Show all work to determine csc(-) 5. (5 Points) Show all work to determine sec(-420°) 6. (5 Points) Show all work to determine cot(495) Math 37 7/20/10 Name 7. (10...
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