Transcribed TextTranscribed Text

Problem 1 y (5,4) (13,1.5) (0,2) (15,0) (10,-4) (a) Write down function f(x) whose graph is the above picture (hint: you will need to write f(2) piecewise function). (b) Using part (a) find (i) st f(x)dr; (ii) for f(z)dr; (iii) Sto f(z)dz (c) What is the area enclosed by the graph of f(x), the g-axis and the vertical line 15? Problem 2 y (b,a) x (0,-a) (2b,-a) (a) Write down function f(z) whose graph is the above pieture (b) Using part (a) find (i) f(2)dx; (ii) f(z)dx; (iii) /o/2 f(2)dr+ 5/55/2 f(2)dx. Problem 3 (2,1) (1,1) (3,1) (-3,-1) (-1-1) (2.4) (a) Restrain yourself from giggling at my awful MS paint skills (yes. those are parabolas, and yes the horizontal lines are supposed to continue forever in each direction) (b) Write down function f(z) whose graph is the above pieture. (c) Using part (a)find(i) no f(x)dr: (ii) Lic f(x)dr: (iii) C f(z)dz;(iv) Lo f(2)dx; (v) C f(2)dz for any be R. (d) What the area enclosed by the graph of f(z) and the vertical lines -5 and z=5? Problem 4: Experimentally determining podd (a) Use Excel and the "approximation by trapezoids" method to approximate the inte- gral of from z=l to 5 with Ar 0.01. Your answer should include any 3 graphs or tables that you feel are important to communicating your results Advice: To simplify your Excel inputs you should create separate columns for (i) x, (ii) f(x), (iii) f(I (x)). (iv) area of the trapezoid with bottom corners at r tor- (x) and finally (v) running approximation of the integral from up to the current value of 2). (b) Based on your experiences thus far with integrals of linear and quadratic functions can you predict formula for f 1/2 Do you think your results from part (a) support this prediction? Why? (c) Based on your findings in parts (a) and (b), boldy fill in the blank ifothen

Solution PreviewSolution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Calculus Questions
    $60.00 for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Calculus Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Upload a file
    Continue without uploading

    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats