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4 years ago

What is a counterexample for the conjecture?

1 answer:

8 0

2 * 1 = 2
2 + 1 = 3

here the product is less than the sum so the conjecture is not true for these 2 numbers so its not true for all positive numbers.

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£140 is divided between Gavin, Jim & Krutika so that Gavin gets twice as much as Jim, and Jim gets three times as much as Kr

diamong [38]

So gavin has like, 46? And then Jim would have 23 so divide 3 that would be 7 as a round off.. i dont really understand this question, sorry.

4 0

4 years ago

A mechanical system is governed by the following differential equation what is the homogeneous solution

Anika [276]

The ODE has characteristic equation

$r^2+6r+9=(r+3)^2=0$

with roots $r=-3$ , and hence the characteristic solution

$y_c=C_1e^{-3t}+C_2te^{-3t}$

For the particular solution, assume an ansatz of $y_p=ae^{-t}$ , with derivatives

$\dfrac{\mathrm dy_p}{\mathrm dt}=-ae^{-t}$

$\dfrac{\mathrm d^2y_p}{\mathrm dt^2}=ae^{-t}$

Substituting these into the ODE gives

$ae^{-t}-6ae^{-t}+9ae^{-t}=4ae^{-t}=4e^{-t}\implies a=1$

so that the particular solution is

$\boxed{y(t)=C_1e^{-3t}+C_2te^{-3t}+e^{-t}}$

7 0

3 years ago

Is 3/0 undefined??? In dividing by zero

fiasKO [112]

Yeah, it's undefined. Dividing by zero results in an undefined result

3 0

4 years ago

Identify the constant in the expression -2 + 6c + 3c

Sergeeva-Olga [200]

Answer:

-2

Step-by-step explanation:

The constant has only a number and no variable

-2 +6c +3c

-2 is the constant

6 is a coefficient for the variable term

3 is a coefficient for the variable term

5 0

3 years ago

Read 2 more answers

What is 43 x 2452?

Dafna11 [192]

$43*2452=105436$

Step-by-step explanation:

Hope it will help you.

8 0

3 years ago

Read 2 more answers