Suppose the work required to stretch a spring from 1.1m beyond its natural length to a meters beyond its natural length is 5 J, and the work required to stretch the spring from a meters beyond its natural length to 4.8 m beyond its natural length is 9 J. Find the spring constant k and the value of a (approximate answers acceptable).

Step 1: choose your topics review the project milestone reflections you submitted for modules 1 through 4. choose the one major idea or concept from each module that you feel most applies to your life. in addition, choose an important concept from module 5 that applies to your life. step 2: write your guidebook for each module: write a catchy headline that clearly and concisely sums up your chosen idea or concept write a brief explanation that includes a description of the concept, why it is important, and how it can be applied to your life to make a positive impact choose an exciting, powerful, or engaging image that illustrates your concept remember, you are writing one for each module, so you will have a total of five headlines, five descriptions, and five images. step 3: design your guidebook choose a format to present your digital guidebook. there are many 21st century tools available for creating and submitting your work in the online environment. for more information on tools your school uses, contact your instructor or visit the web 2.0 tools area.

Draw the resistor’s voltage and current phasors at t=15ms. draw the vectors with their tails at the origin. the orientation of your vectors will be graded. the exact length of your vectors will not be graded.

Consider the series where in this problem you must attempt to use the ratio test to decide whether the series converges. compute enter the numerical value of the limit l if it converges, inf if it diverges to infinity, minf if it diverges to negative infinity, or div if it diverges but not to infinity or negative infinity.