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3 years ago

Can you help me to solve this problem?

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

Answer:

2 2/3

Step-by-step explanation:

Since we only know how much milk we have we will disregard the flour. That leaves us with 4 cups of milk total and 1 1/2 cups of milk per serving. Simply divide 4 by 1 1/2 to get your answer of 2 2/3. Now, if they only want full servings, then the answer would be 2.

balu736 [363]3 years ago

8 0

8 servings. since you dont have to worry about the flour since he has enough, focus on the milk. if its 1 1/2 cups for every 4 servings and he only has 4 cups, then look at it like this: 1 1/2 + 1 1/2 = 3. 3 + 1 1/2 = 4 1/2. he doesnt have enough milk for the 3rd serving so its just 2. But since each serving is for 4 people just do 4 x 2 which obviously gives you 8.

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Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown <em>angles</em> in geometric figures.

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3 years ago

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Part A - The average value of v(t) over the interval (0, π/2) is 6/π

Part B - The displacement of the yo-yo from time t = 0 to time t = π is 0 m

Part C - The total distance the yo-yo travels from time t = 0 to time t = π is 6 m.

<h3>Part A: Find the average value of v(t) on the interval (0, π/2)</h3>

The average value of a function f(t) over the interval (a,b) is

$f(t)_{avg} = \frac{1}{b - a} \int\limits^b_a {f(t)} \, dx$

So, since velocity at time t is given by v(t) = 3cos(t) for time t ≥ 0. Its average value over the interval (0, π/2) is given by

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$v(t)_{avg} = \frac{1}{\frac{\pi }{2} - 0} \int\limits^{\frac{\pi }{2} }_0 {3cos(t)} \, dt\\= \frac{3}{\frac{\pi }{2}} \int\limits^{\frac{\pi }{2} }_0 {cos(t)} \, dt\\= \frac{6}{{\pi}} [{sin(t)}]^{\frac{\pi }{2} }_{0} \\= \frac{6}{{\pi}} [{sin(\frac{\pi }{2})} - sin0]\\ = \frac{6}{{\pi}} [1 - 0]\\ = \frac{6}{{\pi}} [1]\\ = \frac{6}{{\pi}}$

So, the average value of v(t) over the interval (0, π/2) is 6/π

<h3>Part B: What is the displacement of the yo-yo from time t = 0 to time t = π?</h3>

To find the displacement of the yo-yo, we need to find its position.

So, its position x = ∫v(t)dt

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= 3∫cos(t)dt

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Given that at t = 0, x = 3. so

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