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Lesechka [4]
3 years ago
11

Is it possible for two quantities to have the same dimensions but different units? yes. no?

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0

Yes.

1 inch = 2.54 centimeters, for example. These two dimensions are the same, but the units are different.

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Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared .
MatroZZZ [7]

Answer:

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1. \frac{dy}{dx} = 2x\sqrt{1-y^2}

separation of variables

\frac{dy}{\sqrt{1-y^2} } = 2xdx

integration both sides\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx

you should get :

sin^{-1} (y) = x^2+C remember constant of integration!!

2. y = sin(x²+C)

3 = sin(0+C)

y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range

4 0
4 years ago
Estimate the limit<br><br> A <br> B <br> C<br> D
Lera25 [3.4K]

Answer:

C. \lim_{x\rightarrow f(x)=2

Step-by-step explanation:

Given problem is \lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}.

Now we need to evaluate the given limit.

If we plug \x=\frac{\pi}{4}, into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}

=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}

=\frac{sec^2(\frac{\pi}{4})-0}{1-0}

=\frac{(\sqrt{2})^2}{1}

=\frac{2}{1}

=2

Hence choice C is correct.

5 0
3 years ago
Suppose GH = JK , HI = KL and &lt;1 =
Stella [2.4K]
I think the answer is <1=34
7 0
3 years ago
Simplify g^1/2 * g^1/2 using the radical form.
guapka [62]

Answer:

√g *√g = g

Step-by-step explanation:

recall that any number or variable to the power of 1/2 can also be written as that variable or number under the radical.

So, we then have

√g * √g

Recall that when we multiply radicals, we multiply what is under our radicals together and then combine them under a new radical

√g * √g = √(g * g)

This gives us √(g²)

recall that the square root of a number or variable squared will merely result in the number or variable by itself (as these are reciprocate equations)

√(g²) = g

8 0
3 years ago
Please help me with mathh !!!
larisa86 [58]
Okay I can help you with your math!!
8 0
2 years ago
Read 2 more answers
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