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Bernardo Herrera

Bernardo H.

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Penny Riley verified

Numerade educator

A grape 1 cm in diameter that is initially at a uniform temperature of 20°C is placed in a refrigerator so that λ = ℎA/mc = 0.003s^−1 . Determine the temperature of the grape after 10 min by the law of cooling of Newton.

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AWAITING AN EDUCATOR

Solve this integral: An amount of $5,000 is deposited in a savings account at an interest rate of 10% continuously compounded. At the same time money is withdrawn from the account in constantly at the rate of $2 per day. Solving the governing differential equation, Determine how long it will take for the account balance to reach zero.

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Keondre Parker verified

Numerade educator

Solve this integral: A grape 1 cm in diameter that is initially at a uniform temperature of 20°C is placed in a refrigerator so that λ = ℎ?/?? = 0.003s^−1 . Determine the temperature of the grape after 10 min by the law of cooling of Newton.

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ANSWERED

Vincenzo Zaccaro verified

Numerade educator

(6xy^3 + y sen(xy) + 1)dx + (9x^2y^2 + x sen(xy))dy = 0

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Vincenzo Zaccaro verified

Numerade educator

(e^x + y)dx + (e^y + x)dy = 0

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William Semus verified

Numerade educator

( frac{d y}{d x}=left(frac{2 y+3}{4 x+5} ight)^{2} )

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Keondre Parker verified

Numerade educator

( left(e^{y}+1 ight)^{2} e^{-y} d x+left(e^{x}+1 ight)^{3} e^{-x} d y=0 )

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ANSWERED

Sanchit Jain verified

Numerade educator

int frac{x^{2} d x}{left(x^{2}+8 ight)^{frac{3}{2}}}

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INSTANT ANSWER

1. \( \int \frac{t^{2} d t}{\sqrt{4-t^{2}}} \) 2. \( \int \frac{x^{2} d x}{\left(x^{2}+8\right)^{\frac{3}{2}}} \) 3. \( \int \frac{u^{2} d u}{\left(9-u^{2}\right)^{\frac{3}{2}}} \) 4. \( \int \frac{d x}{x \sqrt{x^{2}+4}} \) 5. \( \int \frac{d x}{x \sqrt{25-x^{2}}} \)

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INSTANT ANSWER

1. \( \int \cos ^{2} \theta \operatorname{sen} \theta d \theta \) 2. \( \int \operatorname{sen}^{2} \theta \cos \theta d \theta \) 3. \( \int \operatorname{ctg}^{3}(2 x) \csc (2 x) d x \) 4. \( \int \operatorname{sen}^{4}(t) d t \) 5. \( \int \frac{\operatorname{sen}^{2} \theta}{\cos ^{4} \theta} d \theta \)

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