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photoshop1234 [79]
3 years ago
5

If vector A=2i+3j-k and vector B=4i+6j-2k. The angle between them will be: a) 0°b)45°c)90°d)60°​

Physics
1 answer:
melomori [17]3 years ago
7 0

Notice that

<em>B</em> = 4<em>i</em> + 6<em>j</em> - 2<em>k</em> = 2 (2<em>i</em> + 3<em>j</em> - <em>k</em>) = 2<em>A</em>

so both vectors point in the same direction and the angle between them is (A) 0°.

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A model used for the yield y of an agricultural crop as a function of the nitrogen level n in the soil (measured in appropriate
pychu [463]

<span>The maxima of an equation can be obtained by taking the 1st derivative of the equation then equate it to 0.</span>The value of N that result in best yield is when dy/dn = 0.

Taking the 1st derivative of the equation y=(kn)/(9+n^2) :<span>
</span>

By using the quotient rule the form of the equation is:<span>
y = g(n) / h(n) 
where:</span>

g(n) = kn    --->    g'(n) = k 

<span> <span>h(n) = 9 + n^2     --->    h'(n) = 2n </span>
dy/dn is defined as:
<span>dy/dn = [h(n) * g'(n) - h'(n) * g(n)] / h(n)^2 
dy/dn = [(9 + n^2)(k) - (kn)(2n)] / (9 + n^2)^2 
dy/dn = (9k + kn^2 - 2kn^2) / (9 + n^2)^2 
dy/dn = (9k - kn^2) / (9 + n^2)^2 
dy/dn = k(9 - n^2) / (9 + n^2)^2 

<span>Equate dy/dn = 0, then solve for n 
k(9 - n^2) / (9 + n^2)^2 = 0 
k(9 - n^2) = 0 
9 - n^2 = 0 
n^2 = 9 
n = sqrt(9) 
n = 3 

<span>Answer: The nitrogen level that gives the best yield of agricultural crops is 3 units.</span></span></span></span>

5 0
3 years ago
Even when shut down after a period of normal use, a large commercial nuclear reactor transfers thermal energy at the rate of 150
Phoenix [80]

Answer:

The temperature of the core raises by 2.8^{o}C every second.

Explanation:

Since the average specific heat of the reactor core is 0.3349 kJ/kgC

It means that we require 0.3349 kJ of heat to raise the temperature of 1 kg of core material by 1 degree Celsius

Thus reactor core whose mass is 1.60\times 10^{5}kg will require

0.3349\times 1.60\times 10^{5}kJ\\\\=0.53584\times 10^{5}kJ

energy to raise it's temperature by 1 degree Celsius in 1 second

Hence by the concept of proportionately we can infer 150 MW of power will increase the temperature by

\frac{150\times 10^{6}}{0.53584\times 10^{8}}=2.8^{o}C/s

5 0
3 years ago
How much power is used if an athlete lifts a 50N weight up 2 meters in 10 seconds?
Tcecarenko [31]

Answer:

the power used by the person is 10 W.

Explanation:

Given;

weight lifted, W = 50 N

distance through which the weight was lifted, d = 2 m

time of motion, t = 10 s

The power used by the person is calculated as;

P= FV\\\\P = F \ \times \ \frac{d}{t} \\\\P = 50 \ \times \ \frac{2}{10} \\\\P = 10 \ W

Therefore, the power used by the person is 10 W.

3 0
4 years ago
A burnt paper on the road has a picture, which shows a speed boat runs fast on the lake and produces V-like water waves. This re
sertanlavr [38]

Answer:

Moessbauer Effect = eggy eggs

Explanation:

3 0
3 years ago
A person runs up several flights of stairs and is exhausted at the top. Later the same person walks up the same stairs and does
KIM [24]

Answer:

Explanation:

Work done by the person depends on its mass and the height raised. It also depends on the acceleration due to gravity.

As the height raised and the mass of person is same. The value of acceleration due to gravity is also constant So, the work done is also same in both the cases.

6 0
3 years ago
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