Refer to page 10 for a problem involving solving an exact differential equation. Instructions: Verify exactness carefully. ⚫ If the equation is not exact, find an integrating factor to make it exact. Solve step-by-step and ensure no algebraic steps are skipped. Provide detailed explanations for each transformation. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]

Find each model WITHOUT a Calculator (without regression) BY HAND. Then, use a calculator to evaluate a and b to in decimal format when submitting the answer. Hint: Check that your answer matches the answer if done with regression on the calculator. Find a linear function y-ax+b that passes through the points (3, 3) and (6, 8) Y = Y = I – 2 Find an exponential function y-ab^x that passes through the points (3, 3) and (6, 8) O y = Find a power function y-ax^b that passes through the points (3, 3) and (6, 8)

At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00 p.m. One hour later, the coroner arrived and found the body temperature of the victim fell to 31.5◦ The forensic technician determined that the change in the atmospheric temperature could be modelled satisfactorily as 20e-0.02t in the time window of ±3 hours starting at 6:00 p.m. It is known that the body temperature of alive person is 37◦C. When was the victim murdered?

Please solve algebraically. Student has not learned about derivatives. Thank you.

Simplify e' 3

Please determine the TIME at which the height of the sunflower is increasing most rapidly and the actual HEIGHT of the sunflower at that time. Differential Equations

An exponential equation is a nonlinear regression equation of the form y = ab*. Use technology to find and graph the exponential equation for the accompanying data, which shows the number of bacteria present after a certain number of hours. Include the original data in the graph. Note that this model can also be found by solving the equation log y = mx + b for y. Click the icon to view the table of numbers of hours and bacteria. ..... The equation of the regression curve is y = IO* (Round to two decimal places as needed.) Choose the correct graph below. O A. В. Oc. ABacteria 5000- ABacteria 5000- Bacteria Bacteria 5000- 5000- 0+ Hours Hours Hours Hours Time and bacteria count Number of Number of hours, x bacteria, y 1 163 278 3 469 4 782 1310 1910 4919 of 2.

QUESTION 20 To find the population P of a town growing 15% each year after n years, use the formula P = 6,000 · 1.15" Find the population after 7 years. Round to the nearest whole number. Write your answer in a complete sentence. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px A Click Save and Submit to save and submit. Click Save All Answers to save all answers, Save All Answe 15 fg 10 AA & 4. 7. 08 %24

The exponential function f(x)=abx contains the points (0,2) and (-3,54).Write the conditions as exponential equations involving the variables aa and bb.The point(0,2) gives the equation    .The point (-3,54) gives the equation    .Find the values of aa and bb that satisfy these equations.a=b=

Explain how to find a differential of a function.