Answer:
A) -9/2
B) 9/4
C) -9/2, same as A)
Step-by-step explanation:
We are given that
. We use the properties of integrals to write the new integrals in terms of I.
A)
. We have used that ∫cf dx=c∫f dx.
B)
. Here we used that reversing the limits of integration changes the sign of the integral.
C) It's the same integral in A)
Answer:
6
Step-by-step explanation:
5*6=30
7*6=42
Answer:
See below.
(I only answered the first one b/c the second log function doesn't really make sense, sorry!)
Step-by-step explanation:
1. f(x) = 5 × 
Plug in 5 points.
x = -2, f(x) = 
x = -1, f(x) = 
x = 0, f(x) = 5
x = 1, f(x) = 15
x = 2, f(x) = 45
2. Attached below.
3. Increasing
4. Domain: x = all real numbers
Range: f(x) > 0 (because the line never goes below the x-axis)
Answer:
44
Step-by-step explanation:
substitute k = 1, 2, 3, 4 into 2k² - 4 and sum the terms
k = 1 : 2(1)² - 4 = 2 - 4 = - 2
k = 2 : 2(2)² - 4 = 8 - 4 = 4
k = 3 : 2(3)² - 4 = 18 - 4 = 14
k = 4 : 2(4)² - 4 = 32 - 4 = 28
sum = - 2 + 4 + 14 + 28 = 44