Calculus Problems With Answers

calculus problems with answersAB challenging the calculation problems? The best response?

The graph of the function f is composed of three line segments with points (-2.0) (1.4), (2.1), and (4, -1). It gives an image that looks like a kind of top of a triangle (the increase (-2.0) to (1.4) and decreased of (1.4) to (2.1) and decreased again (2.1) to (4, -1). A) Let g (x) = integral with upper and lower limit x 1: f (t) dt a Calculate g) (4) g (-2). b) Calculate the instantaneous rate of change of g with respect to x, at x = 1. c) Determine the absolute minimum value of g on the closed interval [-2.4]. Justified your answer. D) The second derivative of g is not defined at x = 1 and x = 2. How many of these values are the coordinates of inflection or points on the graph of g? response. justify answers: a) g (4) = 2.5 g (-2) =- 6 b) 4 c) The minimum value is -6. D) Can you explain how to do these problems? Thanks!

I’ll have a go but I’m sort of work these as I go. You can work the equations for the three line segments and then to each of integrals according to x values for which they have to solve g. Or … Draw the graph. If you are working in the area under the curve, you can see it is mainly composed of triangles. The area of a triangle is half the size x times y-dimension. Of -2 to 1 The area is: (3 x 2.4) = 6 1 to 2 the area is: (3 x 1 / 2) + 1 = 5.2 2 to 4, the area is: 0 (two opposite triangles) a), g (4) = Area 1 to 4 = 2.5 (top) g (-2) = negative (-2 to 1 area ) = -6 (from above) b) The exchange rate is the derivative instant. The derivative of an integral is the original function. Therefore, g ‘(1) = f (1) = 4 c) OK Now I see when we left, the integral is negative. Therefore, g decreases steadily as we move towards the left, and reaches a minimum where f touches the x axis at x =- 2. g (-2) = -6. Not sure if this would be a fairly formal response. I guess you can see that g is positive for x> 1. d) The need to think carefully on the definition of a turning point! One definition is that is when the first derivative is maximum or minimum. We have seen that the first derivative is the function original f This in a maximum at x = 1, but not at x = 2. Therefore, there is only one turning point at x = 1.

Continuity – Problems with Answers | TutorVista.com

Share
You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.
7 Responses
  1. lalancjacob says:

    d/dx(1+x2+x4/1+x+x2)= ax+b

    what is the value of a?

  2. jahid says:

    the graph of the equation 2x+3y+1=0

  3. oakley crosslink prix…

    Yaw Nyampong (LLM’05, DCL’11) s’av’e rrtre 茅galement dipl么m茅 pour l. a,chicago Facult茅 droit l’Universit茅 du Ghana, Legon. Il an important 茅t茅 chercheur postdoctorenl nufacturedrsult 脿 l’Institut droit 茅ri et sptil McGill 2011 2012, Puis chercheu…

  4. Likewise, if putting ones pelt dress, never reveal the item to help one on one gentle.

  5. Checklist of helpful things to do to discover more on babyliss before you are left out.
    price explosion mens new ralph lauren shorts in green at our professional store http://www.werge.net/simple/online-ralph-lauren-polo-outlet/price-explosion-mens-new-ralph-lauren-shorts-in-green-at-our-professional-store.asp

  6. Magnificent site. Lots of useful info here. I am sending it to a few
    pals ans also sharing in delicious. And obviously, thanks on your sweat!

Leave a Reply

XHTML: You can use these tags: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>