Question 1 a) The total cost of producing x units of ceramic item (in RM) in the factory for a particular month is modelled as C(x)=x²- 510x + 68 000. Compute the number of ceramic items produced if the total cost paid by the factory in a particular month is RM 14 000.

Q: Solve the initial value problems in Problems and graph each solution function x(t). x" + 4x = 8(t) +…

A: Take a Laplace transform of the equation:

Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

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Q: QUESTION 1 Consider the competitive market for widgets, which is in a constant cost industry. The…

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Q: Question 10 I n an OLG economy where each generation has 14 bananas when young, and 6 bananas when…

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Q: QUESTION 3. a) Find the general solution of y" - 2 --= 0

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Q: light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each…

A: Please refer to the image below

Q: Solve the initial value problems in Problems and graph each solution function x(1). x" + 2x' + x = t…

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Q: Solve the initial value problems in Problems and graph each solution function x(1). x" + 2x' +x =…

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Q: What does it mean when we say that a formula models real-world phenomena?

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Q: Solve the problem. 6) The population P(t) of a bacteria culture is given by P(t) = -1500t? + 48000t…

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Q: Question 2 The owner of an apartment building can rent all 60 suites (i) if $120 per month is…

A: Number of suits for rent = 60  Charge for each suite = $ 120

Q: Problem 3. Two boats are racing with constant speed toward a finish marker, boat A sailing from the…

A: Given : Boat A is sailing from south at 13 mph and boat B is approaching from the east.

Q: Question#3: Use the method of separation of variables to solve (5) - 25и у + би, - 5и, the following…

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Q: B. Activity 1. A financial institution declared a dividend of 75,000,000 pesos for its common stock.…

A: Step 1:From the given data:Total dividend: 75,000,000 pesosTotal shares: 900,000Unknown: Dividend…

Q: Solve the initial value problem 3 x'(t) = -(G ) * () 9. х(0). %3D

A: Let be the characteristic equation of the differential equation . If has double solution and…

Q: Suppose that for a particular product, the number of units x produced per month depends on the…

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Q: Problem #2: The sales of a plastic widget were estimated to be: P(t) = 8000 t e-0.6t where t is in…

A: To compute the total number widgets sold, use the definite integral. Here, the variable t varies…

Q: Solve the initial value problem : f'(x)=x^{5}+12x+19 and f(0)=5

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Q: CP 6 PROBLEM 6.3: DoG MEDICINE Time since Active medicine dose (hr) Breakdown of Medicine in blood…

A: As per norms A, B and D are answered. (C not answered as the graph for 6.2 is not shown in the…

Q: Question 1.) Solve y" - y' - 2y = 2e^2x+ 3sin2x +2x^2 with the following initial conditions: y(0) =3…

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Q: Question 3 of 4 A that manufactures monitors has fixed costs of $78,500 per annum. The company…

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Q: Question 5 of 8 An engineering firm is owned by three partners (Alan, Barbara, and Chuck), with…

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Q: [3 Marks] B1(b): Solve the initial value problem: f'(x) = x10 + 12x + 15 and f(0) = 7.

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Q: Question 6 of 10, Step 1 of 1 Correct Incorrect The selling price for a classic speedboat is…

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Q: Suppose that for a particular product, the number of units x produced per month depends on the…

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Q: [3 Marks] B1(b): Solve the initial value problem : f'(x) = x14 + 12x + 18 and f(0) = 7.

A: To solve the following initial value problem, f'(x)=x14+12x+18 and f(0)=7 f(0)=7 implies that when…

Q: Question 9 ( :) The demand for nurses in the US between 2000 and 2015 is estimated to be: D(t) =…

A: The demand of nurses in the US between 2000 and 2015 is estimates to be in form of a demand equation…

Q: The Z-32 zombie virus replicates at a rate of 18.5% per hour. If a typical zombie bite delivers 1000…

A: the exponential function is in the form of  y=a1+rx here initial value is a=1000 the given rate is…

Q: Question 1 of 16 Arctic Company sells shoes for $93 each. The variable costs per shoe are $42 and…

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Q: Question 1 a) An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30…

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Q: QUESTION 3 (a) A population of insects in a region will grow at a rate that is proportional to their…

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Q: Problem 15. A retailer has bought several cases of Californian wine. As the wine ages, its value…

A: Let x is the number of years after which the retailer should sell the wine. Since, the revenue is…

Q: EXAMPLE 2 The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a…

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Q: QUESTION 1 Consider the supply equation p- 2x+ 10, where x is the quantity supplied in units of…

A: p = 2x + 10   p= 16

Q: Question 1 (a) During a nationwide program to immunize the population against a new strain of the…

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Q: PROBLEM 1: A tank originally contains 380 liters of brine holding 450 N of dissolved salt .Eight…

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Q: Solve the initial value problems in Problems and graph each solution function x(1). x" + 4x' + 5x =…

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Q: CHALLENGE 6.4.1: Electricity. ACTIVITY 380274.1974570.qx3zqy7 Jump to level 1 Lee watches TV for 3…

A: Please see the answer below.

Q: QUESTION 9 At break-even, Ototal revenue equals total cost O total profit equals 0 Both of above…

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Q: QUESTION 8 The population of a certain bacteria culture increases at a rate proportional to the…

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Q: Solve the initial value problems in Problems and graph each solution function x(1). x" + 4x' + 4x =…

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Q: Solve the initial value problems in Problems and graph each solution function x(1). x" + 2x' + 2x =…

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Q: Geologists estimate that there are currently 300 million tons of copper left on Io, while the…

A: Initial extraction and consumption of copper= 5 million  Rate of increase= 6%=0.06  Let after t…

Q: ). Suppose that 1 years from now, one investment plan will be generating profit at the rate of Pi(t)…

A: Given. P1'(t) = 110+t² P2'(t) = 220+2t Given plan is second one.

Q: 1. Solve the initial value problem

A: Given,                      y'=(3x2+y2)12-y with y(2)=0 and h=0.2 over the interval 2≤x≤3.

Q: Question 3: Solve the following first order linear equation: x3 xy' – 2y = x² + 1

A: Given DE is xy'-2y=x3x2+1 solve the first order linear equation

Q: y'-y=10

A: