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Orlov [11]
4 years ago
7

The method of Problem 20 can be extended to second order equations with variable coefficients. If y1 is a known nonvanishing sol

ution of y′′ + p(t)y′ + q(t)y = 0, show that a second solution y2 satisfies (y2 /y1 )′ = W (y1 , y2 )/y21 , where W (y1 , y2 ) is the Wronskian of y1 and y2 . Then use Abel’s formula [Eq. (23) of Section 3.2] to determine y2 .
Mathematics
1 answer:
lions [1.4K]4 years ago
7 0

Answer:24y

Step-by-step explanation:

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Identify the leading coefficient in the following polynomial:<br> 10x2 + 3x – 5
Alisiya [41]

Answer:

The leading coefficient in the polynomial 10x2 + 3x - 5 is 10.

Step-by-step explanation:

To find the leading coefficient of the polynomial function, we must first locate the leading term. In a polynomial function, the leading term is the term containing the highest power of x. In this polynomial function, the leading term is 10x2. The leading coefficient of a polynomial function is the coefficient of the leading term, and so the leading coefficient of this polynomial function is 10.

5 0
3 years ago
Mark the statements that are true.
lara [203]

Answer:

Correct answers:

A. An angle that measures \frac{\pi}{6}  radians also measures  30^o

C. An angle that measures 180^o  also measures \pi  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\  \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians

Therefore we can investigate each of the statements, and find that when we have a \frac{\pi}{6}  radians angle, then its degree formula becomes:

\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o

also when an angle measures 180^o  , its radian measure is:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi

The other relationships are not true as per the conversion formulas

7 0
3 years ago
Which of the following expressions is equal to tan205°?
disa [49]
Tan205° = .466 tan55° = 1.428 tan25° = .466 -tan25° = " so just tan25
8 0
3 years ago
The table below shows the amounts of lemon juice and sugar used in each container of lemonade. The ratio of lemon juice to sugar
stira [4]
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.
5 0
3 years ago
Read 2 more answers
Write the expression in radical form. b^4/5
Gnoma [55]

Answer:

\sqrt[5]{b}^{2}

Step-by-step explanation:

7 0
3 years ago
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