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3 years ago

6

Help with both questions please

2 answers:

alekssr [168]3 years ago

6 0

C for the first one and A for the second. Substitute each point (x, y). plug in the numerical value into x and get y.

Igoryamba3 years ago

5 0

For the first question the answer is the second option.
For the second question the answer is the first option.

Hope I didn't mess up for your sake

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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:

<u>Calculus</u>

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:

<u>Step 1: Define</u>

<em>Identify</em>

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

<u>Step 2: Differentiate</u>

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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

how long will it take an investment of $300 to triple, if the interest rate is 3.5% per year, compounded continuously?

Rashid [163]

Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

$A= Pe^{rt}$

A is the final amount

P is the initial amount

r is the rate of interest

t is the number of years

$900 = 300e^{0.035*t}$

Divide both sides by 300

$3 =e^{0.035*t}$

take 'ln' on both sides

$ln(3) =ln(e^{0.035*t})$

ln(3) = 0.035t ln(e)

ln(e)= 1

$\frac{ln(3)}{0.035} = t$

t= 31.3889

Round to nearest whole number

t= 31 years

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Probability of getting a subject that is not diabetic, given that the result is negative is 90.3%

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bezimeni [28]

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3 years ago

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Sauron [17]

Answer:

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Step-by-step explanation:

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