MHB 2.7.2 AP Calculus Exam .... distance traveled estimate

Click For Summary
The discussion centers on estimating the distance traveled in a 2.7.2 AP Calculus Exam problem. A participant calculated the distance by counting squares on a graph, determining that there are approximately 21 squares. Each square represents 10 feet, leading to a total distance estimate of 210 feet. The method of counting squares is confirmed as a valid approach for this type of problem. This straightforward calculation illustrates a practical application of graphical interpretation in calculus.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
https://www.physicsforums.com/attachments/9542

ok all I did was count squares so about 21
 
Physics news on Phys.org
karush said:
ok all I did was count squares so about 21

every square represents 10 ft, so 21 times 10 ft ?
 
210:cool:
 

Thread 'Proving that convexity implies second order derivative being positive'

There are probably loads of proofs of this online, but I do not want to cheat. Here is my attempt: Convexity says that $$f(\lambda a + (1-\lambda)b) \leq \lambda f(a) + (1-\lambda) f(b)$$ $$f(b + \lambda(a-b)) \leq f(b) + \lambda (f(a) - f(b))$$ We know from the intermediate value theorem that there exists a ##c \in (b,a)## such that $$\frac{f(a) - f(b)}{a-b} = f'(c).$$ Hence $$f(b + \lambda(a-b)) \leq f(b) + \lambda (a - b) f'(c))$$ $$\frac{f(b + \lambda(a-b)) - f(b)}{\lambda(a-b)}...
View full post »

Similar threads

MHB What Is the Total Distance Traveled by the Particle from t = 0 to t = 3?
  • · Replies 4 ·
Replies
4
Views
2K
MHB 1.4.293 AP Calculus Exam a(t) and v(t) t=8
  • · Replies 6 ·
Replies
6
Views
2K
MHB 2.1.314 AP Calculus Exam a particle moves along the x-axis......
  • · Replies 1 ·
Replies
1
Views
2K
MHB 4.2.204 AP calculus practice question
  • · Replies 6 ·
Replies
6
Views
2K
MHB 4.2.236 AP calculus Exam integral with u substitution
  • · Replies 4 ·
Replies
4
Views
2K
MHB 3.4.238 AP calculus exam Limits with ln
  • · Replies 1 ·
Replies
1
Views
2K
Which AP Calculus Exam Should I Take: AB or BC?
  • · Replies 1 ·
Replies
1
Views
5K
MHB 4.1.237 AP calculus exam find area
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What would a calculus author have to say on ##\int r^2dm##?
  • · Replies 11 ·
Replies
11
Views
2K
MHB 4.2.251 AP Calculus Exam......must be true on the interval 0<x<2
  • · Replies 8 ·
Replies
8
Views
2K