Answer:
g'(0) = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Pre-Calculus</u>
<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)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
- Trig Derivative:
![\frac{d}{dx} [cos(x)] = -sin(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcos%28x%29%5D%20%3D%20-sin%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 8 - 10cos(x)
x = 0
<u>Step 2: Differentiate</u>
- Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
- Simplify Derivative: g'(x) = 10sin(x)
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em>: g'(0) = 10sin(0)
- Evaluate Trig: g'(0) = 10(0)
- Multiply: g'(0) = 0
Answer:
WWW.MATHPAPA.COM
Step-by-step explanation:
Answer:
-8/3
Step-by-step explanation:
We know that lines that are perpendicular have slopes that multiply to -1
m1 * m2 = -1
We know one slope is 3/8 and are looking for the perpendicular slope m2
3/8 * m2 = -1
Multiply each side by 8/3 to find m2
3/8*8/3 *m2 = -1*8/3
m2 = -8/3
<span>FROM the 5 defective parts , select 4, and the number of ways to complete this step (5!/4!1!) =5 . from the 45 non-defective parts ,select 6, and the number of ways to complete this step 45!/(6!39!) =8,145,060. THEREFORE the number of samples that contain exactly 4 defective parts is 5(8,145,060 )= 40,725,300 , the number of ways to select 5 is 5!(5!1!)=1. from the 45 non-defective parts select 5 and the numbers of ways to complete this step is 45!/(5!40!)=1221759 . therefore the number of samples that contain exactly 5 defective parts is 1(1221759)=41947059. therefore ,the number of samples that contain exactly 5 defective parts is 1(1221759) =1221759 . therefore the number of samples that contain at least four defective parts is 40725300+1221759=41947059</span>
