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3 years ago

A small town decided to get into the holiday spirit during Halloween. Every person in

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

It’s A 310 divided by 2 is 155

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Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0

3 years ago

At the zoo, 129 female spiders laid a total of 337,851 eggs. If each female spider laid the same amount of eggs, how many did ea

victus00 [196]

Answer:

43,582,779

Step-by-step explanation:

129 x 337,851 = 43,582,779

8 0

3 years ago

Read 2 more answers

Will the value of the expression 20−x increase, decrease, or stay the same as x increases? Explain.

asambeis [7]

Answer:

Step-by-step explanation:

Given the expression 20 - x.

The value of x determines if the value of the expression would increase, decrease or stay the same. When the value of x decreases, the value of 20 - x increases. When the value of x increases, the value of 20 - x decreases. And when the value of x does not change, 20 - x remains the same.

When greater values of x is subtracted from 20, you will have lower value left. Therefore, as x increases, the value of the expression 20 - x will decrease.

7 0

3 years ago

Problem 3

Firdavs [7]

Isosceles triangle = 2 same angle (x) + 1 different angle.

Therefor, 2x+72 = 180.

90-36 =x,
X= 54.

7 0

3 years ago

I need help finding ac, cb, and ab

Taya2010 [7]

AC is 2x+1
CB is 3x-4
AB= 2x+1+3x-4

6 0

3 years ago