Author: Anonymous

Use calculus to find the point (x,y)(x,y) on the curve y=1-2xy=1-2x which is closest to the point (3,2)(3,2). Be sure to demonstrate that the point you have found is the closest.

What do the following images from the 1950s (left), 1980s (middle), and 1990s (right) suggest?

Find the absolute maximum and absolute minimum values of f(x)=x3+x2-x+1f(x)=x^3+x^2-x+1 on the interval [-2,1][-2,1].

Let f(x)=x-3×2/3f(x)= x-3x^{2/3}. Find  the critical points of ff, and the intervals of increase and decrease, thenclassify all local extreme values of ff. 

The name of your instructor in this course is ____________.

Let f(x)=xf(x)=\sqrt{x}.        (a) Find the linearization L(x)L(x) of the function ff at a=9a=9.        (b) Use your linearization to write down an approximation for 8.4\sqrt{8.4}.Your answer to (b) should clearly show how 8.4\sqrt{8.4} is connected to the function, and how you used the linearization.

Consider the function f(x)=x3-4×2+4x+1f(x) = x^3-4x^2+4x+1.           (a) Find the critical points of ff.          (b) State the intervals of increase and decrease of ff.        (c) Find the local maximum and minimum values of ff.        (d) Find the intervals of concavity of ff.        (e) Find all inflection points of ff.  In each case give enough detail to fully justify your answer, including phase lines where appropriate.

Use the limit definition of the derivative to find f'(x)f'(x) for the function f(x)=x2+3x+1f(x) = x^2+3x+1.

Match the group of fungi with an example/description.

Instructions: Answer the following questions on paper using the techniques discussed in class and show your work. Correct answers without explanation will not earn credit. Calculators may not be used.Each question has a true/false selection and you should click one of them – choose whichever you like, it makes no difference. This is just a way to continue to interact with Bb during the quiz. Your grade is based on the written work that you upload as a PDF once you’re done.Once you’ve completed these questions, use your phone to scan your work into a single PDF file, let it sync with your computer, and then drop it into the submission box at the bottom of the quiz. Emailed PDFs or links to files in the cloud will not be accepted. Grades on the first quiz are based on the successful completion of these tasks while following the proctoring instructions.Your hands, face and notebook should be visible on the webcam throughout the quiz. Failure to follow the proctoring instructions may result in a zero on the quiz.