The sum of two numbers is 36 twice the first number minus the second number is 6 find the numbers
1 answer:
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Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
=
+
=
+
= 36 + 25
= 61
x =
= 7.81
let the length of the diagonal support be represented by l. So that;
=
+
=
+
= + 64
l =
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Answer:
Step-by-step explanation:
We have to take the derivatives for both functions and replace in the differential equation. Hence
for y=e^{-5x}:
for y=e^{6x}:
Now we replace in the differential equation y'' − y' − 30y = 0
for y=e^{-5x}:
for y=e^{6x}:
Now, to know if both function are linearly independent we calculate the Wronskian
I hope this is useful for you
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