u sin e + có where u is a constant called the coe (a) Find the rate of change of F wit (b) When is this rate of change equ. (c) If W = 50 lb and 0.6, draw a function of 0 and use it to loca O. Is the value c which dF/d0 answer to part (b)? 39-50 Find the limit. sin 5x 39. lim 40. 3x tan 6t 41. lim t0 sin 2t 42. sin 3x 43. lim 44. 0 5x - 4x sin 0 45. lim e0 + tan 0 46. 1 cos e - 47. lim od 48. 202 1 . tan x 50. I 49. lim x→1/4 sin x cos x 51-52 Find the given derivative by findin tives and observing the pattern that occurs (sin x) 52. - 51. dr99 53. Find constants A and B such that the y = A sin x + B cos x satisfies the d %3D y" + y' – 2y = sin x. 54. (a) Evaluate lim x sin 14→n∞ (b) Evaluate lim x sin –.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
I am having trouble with question #41 on page 197 of the James Stewart Calculus Eighth Edition textbook.
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