Answer: 
Step-by-step explanation:
Given
The area of the base is 
height of the triangular prism is 
The volume of a triangular prism is 
The volume of given Prism is
The volume of the triangular prism is
Answer:
20
Step-by-step explanation:
Answer:
y = -2x + 3
Step-by-step explanation:
y2 - y1/ x2 - x1
7 - (-5) / -2 - 4
-2
The slope is -2.
To find the y-intercept, you need to plug the coordinates into the equation.
y = -2x + b
7 = -2(-2) + b
7 = 4 + b
3 = b
y = -2x + 3
Answer:
34.576 = 30 + 4 + 0.5 + 0.07 + 0.006
Answer:
Y' = -xsin(2x) + 2cos(2x)
Step-by-step explanation:
For this problem, we will need to use the product rule since you have two terms that contain the variable x.
The product rule is simply as follows:
The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.
Note the derivative of 2x with respect to x, is 2.
Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).
With this in mind, let's find the derivative of our function with respect to x.
Y = 2xcos2x
Y = 2x * cos(2x)
Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)
Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)
Y' = (-x)sin(2x) + 2cos(2x)
So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.
Cheers.
