Home > Math 261 Calc | Summer 2023 > Assessment 1.0 Progress saved Done Score: 0/4 0/4 answered Question 1 0/1 pt 05 2 1 0 Details The point P(3, 16) lies on the curve y = x2 + x + 4. If Q is the point (x, x2 + x + 4), find the slope of the secant line PQ for the following values of T. If x = 3.1, the slope of PQ is: and if x = 3.01, the slope of PQ is: and if x = 2.9, the slope of PQ is: and if x = 2.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(3, 16). Question Help: Video Submit QuestionHome > Math 261 Calc | Summer 2023 > Assessment 2.1 Progress saved Done Score: 6.33/9 6/9 answered . Question 9 0/1 pt 05 0 Details Suppose that the position of a particle is given by s = f(t) = 5+3 + 2t + 9. (a) Find the velocity at time t. v(t) = m (b) Find the velocity at time t = 3 seconds. m (c) Find the acceleration at time t. a(t) = (d) Find the acceleration at time t = 3 seconds. m Question Help: Video Submit Question2.2 Score: 53'25 6-'25 answered . Question 2 v a 0J1 pt '0 5 3 2 G) Details The point P(16,9) lies on the curve '9' = 3/5 + 5. If Q is the point (2:, J; + 5), find the slope of the secant line PQ for the following values of at. If a: = 15.1, the slope of PQ is: :] and if z = 16.01, the slope of PQ is: :] and if z = 15.9, the slope of PQ is: :] and if z = 15.99, the slope of PQ is: :] Based on the above results, guess the slope of the tangent line to the curve at PHELQ). :] Question Help: E] Video Submit Question 1.0 Progress saved Done & VOCO Score: 0/4 0/4 answered Question 3 0/1 pt 05 # 2 0 Details A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 30 ft/s. Its height in feet after t seconds is given by y = 30t - 25t-. A. Find the average velocity for the time period beginning when t=2 and lasting .01 s: 005 s: 002 5: 001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=2. Question Help: Video Submit QuestionHome > Math 261 Calc | Summer 2023 > Assessment 1.0 Progress saved Done a 115' Score: 0M D.-"4 answered . Question 4 V a 0J1 pt '0 5 3 2 G) Details 0- 5 4 3 2 Based on the graph above, estimate to one decimal place the average rate of change from a: = 1 to a: = 3 Question Help: E] Video \fHome 2 Math 261 Calc | Summer 2023 2 Assessment 2.1 Score: 6.33;\"? N9 answered Save progress Done a 115' 0 Question 3 v E 0.33:1 pt '0 3-5 G) Details Score on last try: 0.33 of 1 pts. See Details for more. > Next question You can retryr this question below an: 1 l' mn: Question Help: E] Video I E] Video 2 Submit Question Home > Math 261 Calc | Summer 2023 > Assessment 1.2 Progress saved Done Score: 8/9 8/9 answered . Question 1 Math 261 Calc | Summer 2023 > Assessment 1.1 Progress saved Done VO -O Score: 12.25/13 12/13 answered . Question 1 0.25/1 pt 0 5 0 Details 6 y = f(x) 5 - -l- - 4 LX 4 5 6 7 8 Enter each answer as a whole number (like -4, 0, or 253) or DNE for undefined or Does Not Exist. f(6) = lim f(x) = lim f(x) = lim f(x) = 1-+7 Question Help: Video 1 Video 2 Submit QuestionHome 2 Math 261 Calc | Summer 2023 2 Assessment 2.1 Progress saved Done a 16' Score: 6.33;\"? 63"? answered . Question I" ' B 0H pt '0 5 G) Details 1 Find the values ofI where the tangent line to the graph of f(2) = E is parallel to the line 1,: = 513 + 4 Give exact answers (not decimal approximations). (Tip: To enter x/, type either sqrtfa) or a\"()'!2}.) The greater solution is x = C] and lesser solution is x = :| Question Help: E] Video Submit