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Charra [1.4K]
4 years ago
9

If dy/dx = x2 + 4, what is the value of y?

Mathematics
1 answer:
Nezavi [6.7K]4 years ago
4 0
1) Given dy / dx = x^2 + 4 = y is the function whose derivative is x^2 + 4.

2) y = x^3 / 3 + 4x + constant

Prove d y / dx = 3x^2 / 3 + 4 + 0 = x^2 + 4

Answer: x^3 / 3 + 4x + C
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Consider this right triangle.<br> 21<br> 29<br> 20<br> Enter the ratio equivalent to s
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Answer:

Part 1) sin(B)=\frac{21}{29}

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Step-by-step explanation:

<u><em>The complete question is</em></u>

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

sin(B)=\frac{21}{29}

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

csc(A)=\frac{1}{sin(A)}

sin(A)=\frac{BC}{AB} -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

sin(A)=\frac{20}{29}

therefore

csc(A)=\frac{29}{20}

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

cot(A)=\frac{1}{tan(A)}

tan(A)=\frac{BC}{AC} -----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(A)=\frac{20}{21}

therefore

cot(A)=\frac{21}{20}

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Answer:

He had $22.60

Step-by-step explanation:

$9.50 + $4.35 = 13.85 + 8.75 = $22.60

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