Answer with Step-by-step explanation:
We are given that 
We have to prove that why the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form and prove that the limit equals to 0.
Because 
and
We know that cos 0=1 and sin 0=0
Substitute the values then we get
We know that 
is indeterminate form
Hence, the limit x approaches 0(csc(x)-cot(x)) involves an indeterminate form.
L'hospital rule:Apply this rule and differentiate numerator and denominator separately when after applying 
we get indeterminate form
Now,using L' hospital rule
because 
Now, we get
Hence,
Answer:
h = 430
Step-by-step explanation:
1290 = h/10 + h/5 Make h/5 into something that is something / 10
1290 = h/10 + 2h/(5*2) Clean up the brackets.
1290 = h/10 + 2h/10 Add the right.
1290 = 3h/10 Multiply both sides by 10
1290*10 = 10(3h/10)
12900 = 3h Divide both sides by 3
h = 430
Answer:
True: B, C and D
Step-by-step explanation:
The graph of the function is shown in the attached diagram.
The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because
So, option A is false and option B is true.
As you can see from the graph, the function is increasing for all x>-3, thus option C is true.
The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.
N
- -76=116
5
If the question gives you another variable, just switch it out with n
