Answer:
y - 7 = 4(x - 35)
Step-by-step explanation:
The fundamental theorem of calculus states that:
= f(x).
So using the fundamental theorem of calculus, you can find that h'(x) = f(x).
The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.
Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.
The slope of h(x) at x = 35 is 4.
Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.
The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.
Now use the point-slope formula to write the equation of the tangent line.
The answer is <u>y - 7 = 4(x - 35)</u>
Answer:
6 ways - ab,ac, ba,bc and ca,cb
Step-by-step explanation:
We are given 3 letters a,b,c.
We can choose the first letter in 1 out of 3 ways.
Once the first letter has been chosen without replacement, we have two letters remaining. Another letter can be chosen from the 2 remaining letters in 2 ways. So the total number of ways of choosing the two letters is 3*2 = 6.
Listing out the possible set of choices:
Options include: ab,ac, ba,bc and ca, cb
Answer: 36
Step-by-step explanation:
1) substitute x for 6
get f(-5)=6(1--5)= 6+30=46
Answer:
y=3/2(x)+4
Step-by-step explanation:
Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.
Answer: B
Step-by-step explanation:
The p-value is greater than the significance level (0.09 > 0.05), so we "fail to reject" H0.
The p-value and significance level are provided from the questions .
General rule of P value : When a P value is less than or equal to the significance level, you reject the null hypothesis.
