1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
3 years ago
8

Value of the derivative of g(x)=8-10Cosx at 'x=0' is?

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

g'(0) = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

<u>Pre-Calculus</u>

  • Unit Circle

<u>Calculus</u>

  • Derivatives
  • Derivative Notation
  • The derivative of a constant is equal to 0
  • Derivative Property: \frac{d}{dx} [cf(x)] = c \cdot f'(x)
  • Trig Derivative: \frac{d}{dx} [cos(x)] = -sin(x)

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 8 - 10cos(x)

x = 0

<u>Step 2: Differentiate</u>

  1. Differentiate [Trig]:                    g'(x) = 0 - 10[-sin(x)]
  2. Simplify Derivative:                   g'(x) = 10sin(x)

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em>:                    g'(0) = 10sin(0)
  2. Evaluate Trig:                      g'(0) = 10(0)
  3. Multiply:                               g'(0) = 0
You might be interested in
There 80 visitors in a local restaurant. There are only two menu options today: chicken or fish. If 20% of the visitors ordered
djverab [1.8K]

Answer:

64 visitors (other 80%)

Step-by-step explanation:

20% of visitors of 80 visitors is 16

So.. 80 - 16 = 64 visitors.

The other 80% of visitors being 64 visitors ordered fish.

3 0
3 years ago
A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th
Burka [1]

Answer:

Confidence interval : 21.506 to 24.493

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = \bar{x}=\frac{\sum x}{n}

Sample mean = \bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}

Sample mean = \bar{x}=23

Sample standard deviation = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}

Sample standard deviation = \sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}

Sample standard deviation= s = 1.72

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table t_{\frac{\alpha}{2} = 3.883

Formula of confidence interval : \bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}

Substitute the values in the formula

Confidence interval : 23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 23 -3.883 \times \frac{1.72}{\sqrt{20}} to 23 + 3.883 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 21.506 to 24.493

Hence Confidence interval : 21.506 to 24.493

3 0
3 years ago
Read 2 more answers
Which is equivalent to the following
andrew11 [14]

Answer:

Step-by-step explanation:

(\sqrt[4]{9})^{\frac{1}{2}x}=(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}

5 0
3 years ago
The graph below plots a function f(x):
Karolina [17]
By definition we have that the average rate of change of the function is given by:
 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}&#10;
 Substituting values we have:
 AVR = \frac{100 - 50}{2 - 0}
 Rewriting we have:
 AVR = \frac{50}{2}
 AVR = 25
 Answer:
 If x represents time, the average rate of change of the function f(x) in the first two seconds is 25.
4 0
3 years ago
571428 to nearest tenth
vichka [17]
Thw answer is 571430 because 28 rounds to 30
4 0
3 years ago
Other questions:
  • A triangle has an area of 36 square units. Its height is 9 units.
    9·1 answer
  • What's -3 1/8 divided by -1 2/3?
    12·2 answers
  • An office room is 12 ft by 10 ft with a door that is 30 inches wide. How many feet of baseboard are needed to go around the room
    10·1 answer
  • Solve by completing the square x^2-6x=1
    12·1 answer
  • Solve for c: b/c =a<br>​
    8·1 answer
  • Find the number of zeroes at the end of 26!-25!
    10·1 answer
  • So far this season, Shawn has averaged 4 out of 11 free throws per game. Based on his previous performance, how many free throws
    6·1 answer
  • . line containing ( −3, 4 ) ( −2, 0)
    15·2 answers
  • How many pints are needed for 2 3/4 pots of soup?
    5·1 answer
  • Help me out smartie pants hahahahaahahaha
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!