The profit P in dollars generated by selling I units of a certain commodity is given by

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Q: f(x) = In x, [1, 4]

A: We have to verify

Q: -uppose P(t) represents the population of a certain mosquito colony, wheret is measured in days. The…

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Q: When a certain industrial machine has become t years old, its resale value will be…

A: Given equation is  V(t)=4,800e^(-t/5) +400 Using various conditions we have to calculate the values…

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Q: The average length of time that a customer waits in line for service is W(x, y) x - y' x > y where y…

A: Given:

Q: The accompanying table shows the cost C(x) (in dollars) of mailing a first-class letter weighing x…

A: Given:

Q: A company's total sales (in millions of dollars) t months from now are given by S(t) = 0.03t3 +…

A: Given:- S(t) =0.03t3+0.5t2+2t+3 To find:- Instantaneous rate of change of S(t) 9 months from now

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Q: Let f(æ1, x2, X3)=(x1³ + x2, x1? + x3). Find df(1,2,3) (-3, –2, –1)

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Q: Find the lengths of the functions of x over the given interval. from x = 2 to x = 4 50/3 61/3 44/3…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We will find the population of mosquitoes after 15 days as following.

Q: Consider the value of t such that the area to the left of-l plus the area to the right of Ir equals…

A: We have to find t such the area to the left of -| t | plus area to the right of | t | equals 0.02…

Q: 5. Find the absolute max and min of f(z) = r – 27x on the interval [-4, 7].

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use a formula to express w as a function of t if w = s/s+4 and s = t2 + 2. w =

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Q: . Assume prior studies have shown that about 60% of full - time students earn bachelor's degrees in…

A: b) When the prior estimate of the true proportion is known, the minimum sample size can be computed…

Q: Please

A: Given function is Differentiating both sides with respect to x , we get

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A: Divided difference method is a numerical procedure for interpolating a polynomial given a set of…

Q: Find the mean value of the function f(X,Y)= X² + y².

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Q: otal profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function…

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Q: Automobile engines and transmissions are produced on assembly lines, and are inspected for defects…

A: a) Here, X represents the number of engines, Y the number of transmissions that require repairs in a…

Q: A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is…

A: Given problem:- A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per…

Q: Find the value of c in the interval (a,b) such that f'(c)=0 for f(x)=(x-3)(x+1)´ on[[-1,3].

A: the value of c is:-

Q: Let C(x) be the cost of producing x items. Check all of the following statements that must be true.

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Q: Use a formula to express w as a function of t if

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Q: The average length of time, in minutes, that a customer waits in line for service is given by 60 y <…

A: This can be evaluated as follows:

Q: The percentage P of doctors who accept a new medicine is given by P(t)=100(1-e^-0.30t) where t= time…

A: Answer is in step 2.

Q: 3. Let X-f(x;8) where f(x;e) = ex4o(x). a. Find a sufficient statistic for 0. b. Is your statistic…

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Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

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Q: Find the mean value of the function f(X,Y)= X² +Y².

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Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.

Q: Use linearity to evaluate the sum. 20 E5(6) j=1 (Give your answer as a whole or exact number.)

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Q: The manufacturer sells the article for a fixed price of $5.00. There is a guarantee to refund the…

A: The given data: The selling price of the article= $5.00 Cost of production related  to weight of the…

Q: Evaluate tanh i O -1.73 j O 1.73 j O -0.866 j O 0.866 j

A: We have to solve given expression

Q: Find the sum of the GS that satisfies the given condition a. n=4 a2= 20 a3=5 b. n=6 a=12 a4=5.0625

A: Find the sum of the GS that satisfies the given conditiona. n=4 a2= 20 a3=5b. n=6 a=12 a4=5.0625…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given, Pt represents the population of certain mosquito colony and t is measured in days. P0 = 552…

Q: To compute a student's Grade Point Average (GPA) for a term, the student's grades for each course…

A: Math course 3.7 5 18.5 Music course 2.6 3 7.8 Chemistry course 3.1 5 15.5 Journalism course…

Q: There is a number c in the interval (a, b) such that f ′ (c) = 0.

A:

Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 2. w =

A: Explanation of the answer is as follows

Q: 3. Find all functions from X = {a,b} to Y = {p,r, t}.

A:

Q: A linear function h(x) = mx +E k where m and k are nonzero integers.

A: Given linear function is  hx=mx+k where m and k are nonzero integers.

Q: monthly profit (in dollars) from your newspaper route is given by P = 4n −√n where n is the number…

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Q: An estimated 150,000 people attended the Coconut Grove art festival over a 3-day period. Admission…

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Q: table lists the electrical power in gigawatts—the rate at which energy is consumed—used in a certain…

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Q: A tank of water is contaminated with 55 pounds of salt. In order to bring the salt concentration…

A: Since you have posted multi part questions but according to guidelines we will solve first three sub…

Q: 0.3 0.6 0.9 1.2 1.5 h(q) 18 36 71 142 284 Estimate h' (0.9) using the table above. h'(0.9)

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Q: The average global temperature is 60° and rising by the question in mathematical notation. nd dq/dt.…

A: Given: T=average global temperature=60∘Ft=time (in years)dTdt=rate of change of…

Q: Let C(x) be the cost (in dollars) of manufacturing x bicycles per day in a certain factory. a.…

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Q: 2. Complete the table. Assume x = 50,0 = 3.5, and n = 120. 1 - a Za/2 Margin of error (1- a)x100% a…

A: Given that  Assume  Sample mean=50 Population standard deviation (σ)= 3.5  Sample size(n)=120 We…