Calculus question and answers for November 19, 2023
- Q (a) Does the parabola open upward or downward?upward(b) Find the intercept(s).For both the x- and y-intercept(s), make sureto do the following. If there is more than one, separate them with...
- Q Without graphing the function y = - 10 sin(6x), determine its amplitude and period. Leave answers in exact form; type pi for ? .amplitude =period =
- Q Find the approximate value of x if log 6.71 ? 0.8267.10? = 6.710.00820.08260.82678.267
- Q The distance between (7-4i) and [(4- i) - (2 + 3i)] is_5173
- Q Find the 46th derivative of the function f(x) = cos(x).The answer is function
- Q Find a unit vector that is orthogonal to both i + j and i + k.
- Q Suppose that the functions s and t are defined for all real numbers x as follows.s(x)=2x-4t(x) = 3xWrite the expressions for (s+t) (x) and (s-t) (x) and evaluate (s.t) (-2).(s+...
- Q Of the students living in the dormitories at a university, 65% live at the west hall, and the rest at the south tower. A sandwich shop randomly mails a coupon...
- Q A bag contains 5 red and 4 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty. Find the probability that the red...
- Q Suppose E and F are events such that n(E)= 10, n(F) = 12, and n(E?F) = 5.a) Find P(EIF).b) Find P(FIE).a) P(EIF)=(Type an integer or a simplified fraction.)b) P(FIE)=(Type an...
- Q At a certain gas station, one of every 10 customers purchases premium gasoline, and the decision of each customer has no effect on the decisions of the others. What is...
- Q What is the distance between [(3 + 4i) + (2 - 3i)] and (9 - 2i)?
- Q Suppose that the functions q and r are defined as follows.q(x) = x-2r(x) = 2x +2Find the following.(q.r) (-2) =(r.q) (-2) =
- Q Find the Cartesian equation of the plane:Vector r= (-1, 0, 1) + s(1, -2, 3) + t(-3, 2, 1), s, tER
- Q Calculate the distance from point P(2, 4, 1) to the line:Vector r = (1, 2, -1) + t(5, 1, -1), tER
- Q What is lim h?0 8(1/2+h)? - 8(1/2)? / hA) 0.5B) 0C)1D) It cannot be determined from the information given.E) The limit does not exist.
- Q Use the definition of the derivative to show f'(x) = 2x + 2 if f(x) = x + 2x This means the "long way" by substituting into the limit: f'(x)...
- Q Show that f(x) ={x-2, x?1{2x-3, x>1is continuous (5 pts) and differentiable (5 pts) at x = 1.
- Q In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 5 units to test. Let random variable X= the number of defective units...
- Q From a deck of 52 playing cards, 2 cards are randomly selected without replacement. Let D? = the event that a black card was selected first, and D? = the...
- Q Assume A and B are independent events with P(A) = 0.38 and P(B) = 0.55. Find (a) P(An B), (b) P(A U B), (c) P (A' ? B'), (d) P...
- Q Evaluate the limit using L'Hpital's rule.lim x?0 sin(4x)/tan(5x)
- Q Evaluate the limit using L'Hpital's rule.lim x??/2 2cos(7x)sec(5x)
- Q The lower edge of a 6 foot tall painting is 1 feet above your eye level (see picture below for the idea, but be aware it's not drawn to scale).At...
- Q Solve by substitution. Give the solution as an ordered pair.5x + 2y = 116x +12y = 42
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