\[y^{\prime\prime} 4y=\cos2x\]

1 answer:

3 0

So the question if find y'' for 4y=cos2x

First, find y by dividing by 4. y = cos2x/4
Then, take the first derivative. y' = -sin2x/2
Then, take the second dervative. y'' = -cos2x

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the amount of food a dog should eat depends on the weight of the dog. 1. identify the independent and dependent variables in thi

fomenos

Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.

The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
The dependency relationship using the function notation is; f(x) = {function of x}.

The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; The amount of food a dog should eat depends on the weight of the dog.

According to the premise given in the question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog

The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.

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3 years ago

Find the surface area of the prism. 7 mm 4 mm 5 mm

dolphi86 [110]

Answer:

Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.

Step-by-step explanation:

The formula would be:

Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)

Front & Back - 5 × 7 (multiply by 2 for front AND back)

Sides - 4 × 7 (multiply by 2 for BOTH sides)

___________________________________________________

Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)

Ex. Top & Bottom + Front & Back + Sides

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3 years ago

What is the sum of 12 – 5i and –3 + 4i? –16 + 63i 9 – i 9 – 9i 15 – 9i

Svetach [21]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{9 - i}}}}}$

Step-by-step explanation:

$\sf{12 - 5i + ( - 3 + 4i)}$

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses

$\longrightarrow{ \sf{12 - 5i - 3 + 4i}}$