Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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- 2. Verify the following derivatives : а) d 5x + (Vx 1 = 6 - dx 4[V¥(ax² + bx + e ]= 1 -(5ax² + 3bx + c) 2/xarrow_forward1 Find the derivative of y = Vx4 –3x2+5 금 (24 -3a22 + 5) (4z3 - 6z) (a4 – 3a² + 5) This function is not differentiable 글 (24 - 3㎡2 + 5)호 (4az3 - 6x)arrow_forwardneed this fastarrow_forward
- 7. as fast as possible.arrow_forwardThe populations of two neighboring villages A and B vary according to the med sinusoidal function which gives the population P of the village as a function of time t, in years, since the year 2000. In the year 2000, the two villages had 3000 and 2500 inhabitants respectively. The graph on the right shows the progression of the population of each village. Village A reaches its maximum population of 4125 after 2 years and village B reaches its minimal population of 1000 after 3 years. yA 1000 What will be the difference in population between these two villages in the year 2005? 1arrow_forwardLet s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6]. a. Find the instantaneous velocity at t = 2 seconds. b. Find the acceleration at t = 5 seconds. c.When is the particle moving in a positive direction? d. When is the particle moving in a negative direction? e. When is the particle at rest? Does s(0)-s(0) represent the total distance traveled from t = 0 to t = 6 seconds? Why or Why not?arrow_forward
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