if xs f(x) = « %3D if 0

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

Q: You wish to minimize f(x)=10X(1^2 )-X_(2^2 ). If you use steepest descent starting at (1,1)will you…

A: Consider the given function, fx,y=10x2+y2 we have given the starting point 1,1. Now, ∇fx,y=20x,…

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

A:

Q: Choose True if the statement is correct, otherwise False. If an integration process produces a…

A: If an integration process produces a constant number, it cannot be added with the constant of…

Q: Find the marginal revenue function R(X) = x(19 - 0.02x) R'(x)= [

A: To differentiate a function, we use the following differentiation rule. Sum rule Difference rule…

Q: max value for y

A:

Q: 2. Find the root of the function using Fixed-point Iteration. f (x) = x cos (x) - x?

A: Consider the given function as, fx=xcosx-x2

Q: If the revenue function for a certain commodity is R(x) = 45x/lnx compute the marginal revenue when…

A:

Q: Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the…

A:

Q: Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

A: Use the partial fraction to solve the given problem.

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

Q: Find the general solution using reduction of order. 1. y''=ln(x)

A:

Q: 1. Ye = cost- sec(at) %3D ans: =-2sin t - asec(at) tan(at)

A:

Q: 2. The rate at which the total average of COVID cases is dz increasing at r = 10 tents and than if…

A: If 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average…

Q: Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily…

A: Cx=0.005x3-0.5x2+28x+300 a). The extra cost of increasing daily production from 50 to 51 items is,…

Q: I have two objects that I am using to race down a track, object A covers a distance of 15 meters at…

A: Given: ∙Object A is having a head start of 0.05sec.∙Object A covers 15m in 0.15 sec. ∙Object B…

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

A:

Q: Suppose, the scientists working in the north pole want to grow vegetables to meet their own demand.…

A: MatLab Code: %Open-Loop systems = tf('s');Gs = 0.39s+1.5; %Open-Loop system responsedisp('Open-loop…

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

A:

Q: Solve for Elimination of Arbitrary constant given problem is x^2y=1+cx

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Q: In an extraction unit operating with continuous and counter current, 100 kg of kerosene-nicotine…

A:

Q: 11. Show that if positive functions f(x) and g(x) grow at the same rate as x→∞, then f = 0(g) and g…

A:

Q: How can I find the gini index of y = x^1.1?

A:

Q: Find the marginal revenue function. R(x) = 7x – 0.05x² R'(x) =

A:

Q: The price elasticity of supply for bananas is 0.2. If the price rises by 5%, what will happen to the…

A: Price elasticity of supply= (% change in quantity supplied)/ (% change in price)

Q: If a firm's marginal cost function is given by dc 0.1gq² + 100, dq %3D and the firm's output…

A:

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

A:

Q: Suppose that the marginal propensity to consume is   dC dy = 0.02 +  ln(y + 1) y + 1      (in…

A:

Q: a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3

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Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

A:

Q: (4) If the population of bacteria in a certain region triples in 15 days. In how many days will be…

A: Bacteria increases proportional during the period given in the problem

Q: A manufacturing company has been experimenting with a new additive that is used to reduce polluting…

A:

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 30x + 0.8x2 −…

A:

Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

A:

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

A:

Q: Please use the conjugate gradient method to solve min구 + z. (): with the starting point r1)

A: We will convert the minimising function into matrix form to apply the conjugate gradient method.

Q: Solves methad of vriation of Parameters - secx by the yot gosx +イne

A: We use the method of variation of parameters to solve this problem.

Q: Classify the critical point (5,-4) for f(x,y) = x² + 4xy + 2y2 + 6x-4y +3

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Q: Suppose that a car starts from rest, its engine providing an acceleration of 10 ft/s2, while air…

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Q: Find X1 & X2 using Newton's method to minimize x2 – y2/2 starting from (1,1)

A:

Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of…

A:

Q: Suppose that the marginal propensity to save is ds = 0.95 - dy In(y + 1) (in billions of dollars) y…

A: According to question given :dSdy=0.95-lny+1y+1Consumption is $6.03 when disposable income is $0

Q: x2 - y2 + 2Cx = 0

A:

Q: 3. The Critical Point of y = xe-*

A:

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: o - 23 dy

A:

Q: When should I use partial integration and when should I use substitution?

A: When should I use partial integration and when should I use substitution.

Q: Find the linearization of ƒ(x) = log3 x at x = 3. Then round its coefficients to two decimal places.

A: Given: f(x)=log3(x) at x=3