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forsale [732]
3 years ago
14

Find the derivative of the function

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
f(x)=-2x^3+5\sin(x)\\\\f'(x)=(-2x^3+5\sin(x))'=(-2x^3)'+(5\sin(x))'\\\\=3\cdot(-2x^2)+5\cdot\cos(x)=-6x^2+5\cos(x)\to D.
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Plz help me with this
Mkey [24]

Answer: B) A = 750(1.04)ⁿ

<u>Step-by-step explanation:</u>

The formula for compounded annually is: A = P(1 + r)ⁿ   where

  • A (amount accrued) = <em>unknown</em>
  • P (amount invested) = $750
  • r (interest rate) = 4% -->(0.04)
  • t (time in years) = <em>unknown</em>

A = 750(1 + 0.04)ⁿ

  = 750(1.04)ⁿ

8 0
3 years ago
Given that a triangle has sides of length 4.1 cm and 7 cm. What is the range of possible length of the third side?
Citrus2011 [14]

Answer:

82.8

Step-by-step explanation:

5 0
3 years ago
The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin
Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi

Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0
2 years ago
A 16- ounce bottle of fresh water is $1.76. A 20-ounce bottle of spring water is $2.40. Which statement about the unit price is
PSYCHO15rus [73]

To find the unit price of each item you want to divide:

Fresh water:

$1.76 / 16 = $0.11

Spring water:

$2.40 / 20 = $0.12

So the statement that is true is B) Fresh water has a lower unit price of $0.11/ounce.

Hope this Helps!!

7 0
3 years ago
a number cube with sides labeled 1-6 is rolled 2 times and the sum of the numbers that end face up is calculated. what is the pr
dybincka [34]
<span>Success patterns: 1/6 ; 2/5 ; 3/4 ; 4/3 ; 5/2 ; 6/1
P(sum = 6) = 6/36 = 1/6</span>
8 0
2 years ago
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