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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 need it asap
Studentka2010 [4]

Answer:

195

Step-by-step explanation:

87+38+40=165

360-165=195

Hope this helps!

If not, I am sorry.

4 0
1 year ago
What is the volume ?
slavikrds [6]

Answer:

I think the answer is 381.7

3 0
3 years ago
Read 2 more answers
Solve<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{2}{3}" alt="\frac{2}{3}" align="absm
Dovator [93]

Answer:

x=0

Step-by-step explanation:

Hi there!

\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x

Distribute 2/3 and 5 into the parentheses:

4x+20=5x+20-2x

Combine like terms:

4x-5x+2x=20-20\\-x=0\\x=0

I hope this helps!

7 0
3 years ago
a foreman must order enough sod to cover a dirt area 36 feet wide by 28 feet long. each piece of sod is 3 feet long and 12 inche
Andrews [41]

If we divide the area we have to cover by the area of a piece, we will get the number of pieces needed:

n=\dfrac{\text{dirt area}}{\text{piece area}}=\dfrac{36\times 28}{3\times 12} = \dfrac{36\times 28}{36}=28

3 0
2 years ago
• A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?​
tia_tia [17]

Answer:

Step-by-step explanation:

so you want to know the formula for the volume of a cylinder

volume (cylinder) = area of the circular base * height

2279.64 = area of a circle + height

area of a circle is \pir^{2}

they tell us the radius is 11 feet   so r = 11

circle = \pi11^{2} = 38013271

2279.64 = 38013271 * height

2279.64 / 38013271 = height

5.996958 = height   in feet

8 0
3 years ago
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