Calculus

posted by .

I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions?

f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of a particle moving along a coordinate axis is meters. Use the graph to answer the questions. Give reasons for your answers.

s = S<-sigma 0 to t f(x)dx


graph: (1,1) (2,2) (3,3) continues to increase up to about (4,4) and decreases to (5,2) then decreases to about (7,-2) and increases to (9,0)


What is the particle's velocity at time t=5?
Is the acceleration of the particle at time t=5 positve or negative?
What is the particle's position at time t=3?
At what time during the first 9 sec does s have its largest value?

velocity is d s/dt, so s is the INT of velocity*time. You must be looking at a velocity vs time graph. The area under the graph is position. Area under the graph is the integral of v*dt.

The velocity at time 5 is read on the graph. Acceleration will be the derivative of veloicty, or the slope of the velocty plot.
Position at any time is the area under the curve from t=0 to time=t.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc

    let f be the function whose graph goes through the point (3,6) whose derivatie is given by f'(x) =(1+e^x)/(x^2) 1. write an equation of a line tangent to the graph at x=3 and use it to approximate f(3.1) --- I GOT : y= (1+e^3)/(9) …
  2. Calculus

    I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}?
  3. calculus II

    I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}?
  4. Algebra

    Below is the graph of a polynomial function f with real coefficients. Use the graph to answer the following questions about f. All local extrema of f are shown in the graph. I really need help with this one but I can't post the graph.
  5. College Algebra

    1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down?
  6. calculus

    answer the questions about the following function f(x)= 10x^2/x^4+25 a. is the point (-sqrt 5,1) on the graph b. if x=3, what is f(x)?
  7. calculus

    I have two questions, please help. 1. Determine the quadratic function f whose vertex is (2,-1) and passes through (1,1). f(x)=?
  8. calculus

    I have two questions, please help. 1. Determine the quadratic function f whose vertex is (2,-1) and passes through (1,1). f(x)=?
  9. pre calculus

    2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y= -2 lxl +2 For example, if you were asked to graph y= x^2 + 1 using transformations, you would show …
  10. Calculus

    The following definite integral gives the area of the region between the graph of the function f(x) = Icosx - x^2I (I=modulus), the x-asis, and the lines x=-2 and x=2. the integral of mod cosx - x^2 from -2 to 2. Describe a different …

More Similar Questions