The domain off(x) = 3-x is 1-x2 %3D 1. R 2. R/{1,-1} 3. R/{3} 4. (0, ∞)

Q: - (4y" + fy) = -A with y(-1) = -2, y(-1) = 1, y"(-1) = 0 Use x1 = y, x2 = y', and x3 = y". x + with…

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Q: The population, P, of the city of Hazelton has grown according to the mathematical model P =…

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Q: Compute the PV of $5000 received in 3 years if the interest rate is (a) 6% and (b) 11%. What is the…

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Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

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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: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

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Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: Suppose a company wants to introduce a new machine that will produce a marginal annual savings in…

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Q: Determine the critical point/s of f(x) = ln(x² + 4x + 14) on [-4,2]. 0x= -3 Ox=1 0 x = 0. 0x = -2

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Q: The city of Anville is currently home to 21000 people, and the population has been growing at a…

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Q: For a short run production function q=10lnL if L=5 and the wage rate is $3 the extra cost of to…

A: Answer:----.               Date:----3/10/2021

Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

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Q: Expand x'y + 3y - 4 about the point (1, -2) by Taylor' s theorem.

A: Let, the given function be fx,y=x2y+3y-4 and the given point is 1,-2

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

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Q: Find the number in the interval [ – 1, - 0.25] so that the sum of that number and its square is…

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Q: Show that f(x) = ln xn /x is a decreasing function for x > e and n > 0.

A: Given function is, But, Hence,

Q: Find the slope of the curve y=x2−3x−4 at the point ​P(2​,−6​) by finding the limiting value of the…

A: Giveny= x2-3x-4 = f(x)at point ( 2, -6)as f(x) =x2-3x-yand f(2+h) = (2+h)2-3(x+h) -4…

Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: A tank initially contains of 50 litres of brine solution with 20kg of dissolved salt. A brine…

A: Given the rate of flow in is 4 L/min and flow out is 2 L/min. So per minute the solution is…

Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

Q: A business wish to invest Gh 20,000 in two enterprises do that the total returns for the year would…

A: Let he invests Gh x in the first enterprise. So he invested Gh (20000-x) in the second    Total…

Q: Determine the value of the Wronskian W(y1, y2) of y" - 2y + 1 = e2*(x + 1) if x-0.2 by using…

A: Given, y''-2y'+1=e2xx+1. The objective of the problem is to obtain the value of the Wronskian if…

Q: 49. Profit If the profit from the sale of x units of a product 200 x, what level(s) of production is…

A: Solve 49

Q: Suppose that the monthly cost in doliars of mining a certain ore is related to the number of pieces…

A: We have to find the value x

Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: When it comes to bacteria growing by binary fission, its generation time will be the time interval…

A: Given,              G=t3.3 logbB; G= generation time  t=  time interval in hours or minutes b=…

Q: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season…

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Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: y = 3 – 2x + x?

A: In this question, we need to find the critical points and test for maxima/minima of y=3-2x+x2.

Q: 5 Find the point X to minimize the function f(x1, x2) =1+¤1 +2x2+ from the strating point X, = using…

A: We are given the following optimization problem : f(x1 , x2) = 1 + x1 + 2x2 + 5/x1 + 10/x2 And we…

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: The curve y = ax³ + bx² + cx + d has a critical point at (-1,3) and has a point of inflection at…

A: We are asked to which is true for the given condition  Note: Critical points are points where the…

Q: The city of Anville is currently home to 23000 people, and the population has been growing at a…

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

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Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: The city of Anville is currently home to 29000 people, and the population has been growing at a…

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Q: Assume that after one time period, the value of a stock (whose present value is R80) would be either…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is…

A: The cost function per chocolate bunnies is 0.60 + 0.005x in dollars and x be the number of item…

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

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Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find.

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

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

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Q: Find the marginal revenue function. R(x) = 3x-0.05x2 R'(x)=

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Q: The value of Wronskian of two functions y, =7* and y2 =7** is

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Q: x+4 5. S 7-3x+2x dx (by partial fractions)

A: Given: ∫x+4x3-3x2+2xdx Solution: Factor the denominator, =∫x+4xx-1x-2dx Use partial fraction…

Q: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

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Q: A factory produces bikes at a rate of 100 + 0.5t2 - 0.9t where t is in weeks, how many bikes were…

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