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cestrela7 [59]
3 years ago
14

determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give a counterexamp

le. The functions r1(t) = 3cos(t)i + 3 sin(t)j + (3cos(t) + 3sin(t)) k and r2(t) = ti, (9-t^2)j, t+(9-t^2) are different parametrizations of the same curve
Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer:

FALSE

Step-by-step explanation:

No, they are not

<u>Counter-example: </u>

Take t = 4  

If r1 and r2 were the same curve, there should exist some value \bf\large t^* for which

\bf\large 4=3cos(t^*)

Taking the absolute value on both sides

\bf\large | 4 |=|3cos(t^*)|\Rightarrow 4=3|cos(t^*)|\leq 3

since the function cos(x) takes values between -1 and 1.

But 4 is greater than 3, and we have a contradiction.

So, r1 and r2 are not the same curve.

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(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that am
Simora [160]

Answer:

Step-by-step explanation:

10000*7%= $700.00

2500-700=1800

1800 is 10% of 18,000

So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.

4 0
3 years ago
Solve the following linear programming problem by applying the simplex method to the dual problem.
Law Incorporation [45]

Answer:

Objective Function: P = 2x + 3y + z

Subject to Constraints:

3x + 2y ≤ 5

2x + y – z ≤ 13

z ≤ 4

x,y,z≥0

Step-by-step explanation:

3 0
3 years ago
Somebody help me lol
vladimir2022 [97]

Answer: 1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}

Step-by-step explanation:

1. A number written in scientific notation has the following form:

a10^{b}

Where is a is a number between 1 and 10 but not including 10, and b is an integer.

2. The negative exponent indicates the number of places the decimal point must be moved to the left to obtain the number as a decimal number.

3. Keeping this on mind, you can know that: if the exponent of a number written in scientific notation indicates that the decimal point must be moved 5 places to the left and another number written in scientific notation indicates that the decimal point must be moved 2 places to the left, then the first number is smaller than the second one.

4. Therefore, you can arrange the numbers given in the problem as following:

1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}

3 0
3 years ago
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Olegator [25]

Answer:

Sydney is 44 years old

Step-by-step explanation:

<u>Step 1:  Make a system of equations </u>

d = s - 15

<em>d + s = 73 </em>

<u>Step 2:  Plug in s - 15 for d in the second equation and solve </u>

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

<em>s = 44 </em>

Answer:  Sydney is 44 years old

6 0
3 years ago
Read 2 more answers
What is 1+1 its super hard
Andrews [41]

Answer:

2

Step-by-step explanation:

even tho this is a very hard question it is 2.

5 0
3 years ago
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