Answer:
Given two linearly independent vectors w and z
We want -w-z
Hence apply a negative gradient to w
w=-<-5,3> =<5,-3>
So <5,-3>-<1,4> = (<5-1>,<-3-4>)
The answer is <4,-7>
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
Answer:
B.
Step-by-step explanation:
(-7x + 4)(-7x - 4)
= 49x^2 - 28x + 28x - 16
= 49x^2 - 16.
Answer:
- 12
Step-by-step explanation:
To evaluate (g ￮ h)(1), evaluate h(1) then substitute this result into g(x)
h(1) = 3(1) + 4 = 3 + 4 = 7, then
g(7) = - 2(7) + 2 = - 14 + 2 = - 12
9514 1404 393
Answer:
n = 99
Step-by-step explanation:
The sum of logarithms is the log of a product. Here, the sum of terms is ...
log(2/1) +log(3/2) +log(4/3) + ... +log((n+1)/n)
= log((2/1)(3/2)(4/3)×...×((n+1)/n)) = log(n+1)
So, the question reduces to ...
log(n+1) = 2
Taking antilogs, we have ...
n +1 = 10^2 = 100
n = 99
The value of n that makes the sum 2 is 99.
