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2 years ago

Verify that the function is a solution of the initial value problem. (a) y = x cos x; y = cos x − y tan x, y(π/4) = π 4 √2

Mathematics

1 answer:

MariettaO [177]2 years ago

8 0

Answer:

Verified as shown in the attached file

Step-by-step explanation:

The detailed step by step explanation and appropriate integration is as shown in the attached file.

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Which equation is equivalent to

Aleksandr [31]

Answer:

(4x^2 +9)(4x^2-9) =0

Step-by-step explanation:

16x^4 - 18 = 0

Rewriting

(4x^2)^2 - 9^2 =0

We notice that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(4x^2 -9)(4x^2+9) =0

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2 years ago

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What are the missing terms???

Ivenika [448]

Answer:

$x^{4} +18x^{2} +81=(x^{2} )^{2}+2(9)^{2} +(3)^{4} \\x^{4} +18x^{2} +81=(x^{2} +9)^{2}$

Step-by-step explanation:

This is just a perfect square

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2 years ago

Which number is equivalent to 3 exponent 4 over 3 exponent 2

choli [55]

Answer:

9 or B

Step-by-step explanation:

3^4=81

3^2=9

81/9=9

3 0

3 years ago

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Simplify the following expression (3x^2y)^3

kolezko [41]

Answer:

$\large\boxed{\left(3x^2y\right)^3=27x^6y^3}$

Step-by-step explanation:

$\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3$

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2 years ago

Suppose Y varies directly with X and Y equals 10 when X equals -3 what direct variation equation relates XNY what is the value o

xeze [42]

Answer:

Expression: Y = -10/3 X

Y = 10/3

Step-by-step explanation:

If Y varies directly as X, then;

Y∝X

Y = kX

k is the constant of variation

If Y = 10 and X = -3

10 = -3k

k = -10/3

Substitute k = -10/3 into the expression Y = kX

Y = -10/3 X

This gives the required expression

To get the value of Y when X = -1

Recall that Y = kX

Y = -10/3 (-1)

Y = 10/3

Hence the value of Y is 10/3

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2 years ago