: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
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6 0

3 years ago

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Combine like terms. What is a simpler form of the expression?<br> -3(-4y + 3) + 7y

VikaD [51]

A simpler form of this expression would be 19y-9

6 0

3 years ago

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Negative three fourths plus negtive one half

Alexxandr [17]

The solution is -5/4= -1 1/4

8 0

3 years ago

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Please help me with this:(

dolphi86 [110]

Answer:

Y = 32.7°

Step-by-step explanation:

We will apply the Cosine law in the given triangle XYZ,

x = 90 ft

y = 55 ft

z = 50 ft

We have to find the measure of angle Y.

y² = x² + z² - 2xzCosY

(55)² = (90)² + (50)² - 2(90)(50)cosY

3025 = 8100 + 2500 - 9000.cosY

9000.cosY = 10600 - 3025

cosY = $\frac{7575}{9000}$

= 0.84167

Y = $\text{cos}^{-1}(0.84167)$

Y = 32.68 ≈ 32.7°

Therefore, measure of angle Y = 32.7°

5 0

3 years ago