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3 years ago

I dont know how to do this pls help me

Mathematics

1 answer:

kozerog [31]3 years ago

6 0

Answer:

8) x = 12

9) x = 12

Step-by-step explanation:

Use geometric mean of legs

$15 = \sqrt{9^2 + x^2}$

x=12

10)

Use geometric mean of legs

$60 = \sqrt{(36+x)^2+36^2}$

x=12

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The solution of a certain differential equation is of the form y(t)=aexp(7t)+bexp(11t), where a and b are constants. The solutio

Solnce55 [7]

Answer:

Step-by-step explanation:

Given that the solution of a certain differential equation is of the form

$y(t) = ae^{7t} +be^{11t}$

Use the initial conditions

i) y(0) =1

$1=a(1)+b(1)\\a+b=1$ ... I

ii) y'(0) = 4

Find derivative of y first and then substitute

$y'(t) = 7ae^{7t} +11be^{11t}\\y'(0) =7a+11b \\7a+11b =4 ...II$

Now using I and II we solve for a and b

Substitute b = 1-a in II

$7a+11(1-a) = 4\\-4a+11 =4\\-4a =-7\\a = 1.75 \\b = -0.75$

Hence solution is

$y(t) = 1.75e^{7t} -0.75e^{11t}$

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3 years ago

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3 years ago

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juin [17]

Answer:

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Step-by-step explanation:

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The sum of three consecutive even integers is 72. Let x represent the first integer x+2 represent the second integer and x+4 rep

satela [25.4K]

72 = x + x+2 + x+4

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66 = 3x

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3 years ago

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kogti [31]

3(4x +12)=180
12x + 36 =180
-36. -36
180-36= 144
12x = 144
——. ——-
12. 12
X = 12

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3 years ago

I dont know how to do this pls help me ​

I dont know how to do this pls help me