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].

Find the linearization of f(x)=xf(x)=\sqrt{x} at a=4a=4, and then use your answer to write down an approximation for 4.4\sqrt{4.4}.

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 below it – once you’ve completed a question, click true or false. 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 finished the quiz you should scan your work into a single PDF document, let it sync with your computer, and then drop it into the submission box at the bottom of the test. Emailed PDFs will not be accepted.Your hands, face and notebook should be visible throughout the test. Failure to follow the proctoring instructions may result in a zero on the test.

Let f(x)=sin(x4+1)f(x)= \sin(x^4+1). Find f'(x)f'(x) and f”(x)f”(x). Fully simplify your answers at each stage.

Use the right-endpoint approximation R4R_4 to write down an approximation for the area under y=x2+1y = x^2 +1 over the interval [1,3][1, 3]. Sketch a graph which shows the function ff and the approximation that you have built. Don’t try and simplify your answer, just write down the numbers without simplifying. 

Calculate the derivative of each of the following functions. Do not simplify your answers.           (a) y=π2+3×5+2×6+2tan(x)y = \pi^2 + 3x^5+ \dfrac{2}{x^6}+ 2\tan(x)        (b) y=cos(x)x3+2y = \frac{\cos(x)}{x^3+2}        (c) y=x3+x2+x+1csc(2x)y = \left(x^3+x^2+x+1\right)\csc(2x)        (d) y=x5-x3+x+1y = \sqrt{x^5-x^3+x+1}        (e) y=∫x23 sec(4+t2) dty = \int^{3}_{x^2} \, \sec(4 + t^2)\, dt

Upload Your Work:Once you’re finished you must scan your work into a single multi-page PDF document and use the submission box below to upload the PDF.You can either:Find the PDF file in your local filesystem and drag and drop the PDF into the submission box below, orClick inside the box and then click on the paperclip icon to open the file browser; then select the PDF file you want to upload.DO NOT submit links to files in the cloud. Upload a PDF directly to Blackboard. Once the file is attached, click Submit.

Bacteria can be killed by antibiotics, but viruses cannot.

Match the group of fungi with an example/description.

What is the function of the “collar” portion of the cells of choanoflagellates?