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3 years ago

8

Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative ration

al numbers. In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?

2 answers:

Sergio [31]3 years ago

5 0

Answer:

39°F

Step-by-step explanation:

yeah thats is JDJDJDJDNSMS

xeze [42]3 years ago

4 0

39 f sksjsjkskdk yea

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The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

____________

(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span /> $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago

The radius of the cylinder is 3 inches and the height is 8 inches. Find the volume of the cylinder.

Dafna11 [192]

Answer:

1584/7 in² ≈ 226.3 in²

Step-by-step explanation:

Given,

Radius R = 3 in
Height H = 8 in
Volume V = ?

We know that,

Volume(Cylinder) = πr²h

Substitute values,

π(3²)8
9(8)π
72π

Taking π as 22/7

72*22/7
1584/7 ≈ 226.3 in²

5 0

1 year ago

Plz answer both questions 15 points

anyanavicka [17]

Answer:

If the signs of rational numbers are same, then the answer is positive.

If the signs of rational numbers are different, then the answer is negative.

Step-by-step explanation:

Consider the provided information.

A: When multiplying or dividing rational numbers, when will the answer be positive?

If we are multiplying or dividing rational numbers the answer will be positive if and only if both the rational numbers have same sign.

For example: Multiply 2 and 4.

2×4=8 (same sign)

or

Multiply -2 and -4.

-2×-4=8 (same sign)

8 is a positive rational number.

Now divided 2 and 4.

$\frac{2}{4} =\frac{1}{2}$

or

Divided -2 and -4.

$\frac{-2}{-4} =\frac{1}{2}$

1/2 is a positive rational number.

Hence, If the signs of rational numbers are same, then the answer is positive.

B: When multiplying or dividing rational numbers, when will the answer be negative?

If we are multiplying or dividing rational numbers the answer will be negative if and only if both the rational numbers have different sign.

For example: Multiply 2 and -4.

2×-4=-8 (different sign)

or

Multiply -2 and 4.

-2×4=-8 (different sign)

-8 is a negative rational number.

Now divided 2 and -4.

$\frac{2}{-4} =-\frac{1}{2}$

or

Divided -2 and 4.

$\frac{-2}{4} =-\frac{1}{2}$

-1/2 is a negative rational number

Hence, If the signs of rational numbers are different, then the answer is negative.

3 0

3 years ago

Find the determinant of 2P-3Q if P=(2/3-1/4) and Q=(2/0-3/5)

vfiekz [6]

2P－3Q
＝2×(2/3－1/4)－3×(2/0－2/5)
Any expression divided by 0 is undefined

Hope my answer helped u :)

7 0

3 years ago

It is good programming style to always use a for loop when the number of times to repeat the action is known. The following code

Paraphin [41]

myprod = 1

num = input("Enter a number: ")

for i in range(1, 5):

myprod *= num

7 0

2 years ago