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2 years ago

If A > B and C > D, then A + C > B + D.

1 answer:

4 0

The answer is Always true. because A is greater than B so put it this way if A=2 and B =1 then 2>1 same goes for C>D so if A+C would have to be greater than B+D for instance 2+2>1+1 or 4>2 so
<span>If A>B and C>D, then A+C>B+D Always true.
</span>

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Consider the initial value problem:

Inessa [10]

Answer:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

Step-by-step explanation:

The given initial value problem is;

$y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2$

Let

$u(t)=y(t)----(2)\\v(t)=y'(t)----(3)$

Differentiating both sides of equation (1) with respect to $t$ , we obtain:

$u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)$

Differentiating both sides of equation (2) with respect to $t$ gives:

$v'(t)=y''(t)----(6)$

From equation (1),

$y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)$

Putting t=0 into equation (2) yields

$u(0)=y(0)\\\implies u(0)=-5$

Also putting t=0 into equation (3)

$u'(0)=y'(0)\\u'(0)=2$

The system of first order equations is:

$\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2$

3 0

3 years ago

Help me please! If f(x) varies directly with x2 and f(x)=10 when x=−4, what is the value of f(x) when x = 3?

exis [7]

Answer:

the answer is d becaus of it's creation

6 0

3 years ago

2 Describe the solution set of y=8

Vedmedyk [2.9K]

Answer:

what is your question there is no equation

7 0

2 years ago

What is the common ratio between successive terms in the sequence? 2, -4, 8, -16,

Marianna [84]

Answer:

the answer is f(x) = n*(-2)

ratio is the wrong word to use, it is for contolled variation in probability. a sequence is controlled by what is known as a function - f(x) is the symbol for a function

Step-by-step explanation:

the following number of the previous one in the sequence is derived by the function f(x)=n*(-2)

2 x -2 = -4 (positive x negative = negative)

-4 × -2 = 8 (negative x negative = positive)

8 x -2 = -16 (positive x negative = negative)

so in the sequence, the trend of -,+ double will go on

7 0

3 years ago

Help! how would i work this out??

Alina [70]

Answer:

i can see it

Step-by-step explanation:

6 0

2 years ago