Problem 2: We discussed gravitational acceleration near the ground to be a constant g, which gives the position of an object in free fall as quadratic in time. Let's say that, in the remote future, a cataclysmic event has destabilised the Earth's interior, and the planet is disintegrating. The gravity near the surface of the collapsing Earth is then found as: Iomt (t) = ge¬at² where t > 0 is time, a 2 0 is some constant, and g is the original surface gravitational acceleration. During the cataclysm, a small rock was ejected straight off the surface at some speed vo at time t = 0. The near-surface gravity, however, was still strong enough that it started pulling the rock back. Unlike the constant surface gravity case, however, notice lim-∞ Gomt (t) = 0, implying that this rock will have a terminal velocity it will settle into. What is the rock's terminal speed v»? When calculating væ, you may run into a definite integral that is not easily solvable. Fortunately, this is a well-known and important result in STEM. You may search up this integral, and write a brief paraphrase of how your source solves the integral. BTW, the indefinite counterpart of the integral is not known as a closed form, so make sure you have a definite integral set up.

unt come Subjects Calendar 19 Inbox History 8888 Mastery Studio Ctrl Lynx A dell charges a $5 delivery fee, and $6.50 for each sandwich. 1. What is the total cost (sandwiches and delivery charge) if a family orders 5 sandwiches? 7 sandwiches? Be sure to show your work. 2. What is the total cost of x sandwiches? ů Library Shift Caps 3. Go to: https://www.geogebra.org/classic/zesjcbvj Graph the total cost of sandwiches and delivery based on the number of sandwiches ordered. Be sure to label your axes and scale them by labeling each gridline with a number. ****Submit a screenshot**** Tab 4. Is there a proportional relationship between the number of sandwiches and the cost of the order? Explain how you know. # Esc Edit View Insert Format Tools Table w² 12pt Paragraph BI. UA P Fn Type here to search JL 1 ! Q A F1 N - H @ 2 W S F2 X 4, # 3 Alt E F3 D ev T²00 EI 2 » A ta C $ 4 F4 R F DII % 5 No new data to save. Lost checked at 7:24pm V F5 Q₁v G V T EXT Ⓒ 0 words G * F6 A 6 Y B * H F7 & 7 V…

Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in complete sentences and therefore statements. Find the Differentiate for maxima and minima and critical points.

Can you please answer the first 3 questions? Please do not skip any steps include ALL of your work and double check for accuracy. Thank you.