B1. Given the function T(n) = n3 + 20n + 5, show that T(n) is 0(n³)

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

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Q: The critical point for the function f(x)= v5 - 3x? is a. None of these O b.2 Oc No solution d.0

A: Consider the given function as fx=5-3x2

Q: 7. Find c such that f(c) = fave where fave is your answer to the previous problem.

A: (7) The function is given as , fx=x3 find c for fc=fave where fave is average value of f on 0,27.

Q: ) = x² + y² - 8x - 6y subject to the

A: Given that fx,y=x2+y2-8x-6y. First we have to find the extreme point on the domain given in the…

Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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Q: d x3 in terms of t.) X1 + 0.5x2 + 0.33x3 + 0.25x4 0.5x1 + 0.33x2 + 0.25x3 + 0.21x4 = -1.7 0.33x1 +…

A: I have used MAPLE Software .

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

A:

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

A: To find the number of vines that should be planted to maximize grape production.

Q: Q4) Find the domain of 3 a) f(x) = %3D 1-4e3x b) g(x) = In(5 – |x – 3|)

A: Note: Since you have asked multiple questions, we will solve the first question for you. To get…

Q: 3. Is the function y = Cx² a solution to the ODE y" – xy' + y = 0?

A: Solution is given as below:

Q: Find f(t). f(t) = -6s s3 + ) u ( t -

A:

Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…

A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…

Q: Describe the long run behavior of f(t) = - 4t + 2t8 +3t3 + 4 As t - o, f(t)→ ? v As t o, f(t) →?

A: We have to define the long run behaviour of the given function.

Q: e. If (c) were f(k) = -4 what value of k k+7° %3D would be excluded from the domain?

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Q: Find the domain of the function f(t) = V1- 21 – 3Vī+ 6.

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Q: Find the first, second, and third derivatives of the func- tion. W (t) = 5t² + 4e*.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative…

Q: Let f(t) = t*e3. 4

A: Differentiate w.r.t to t

Q: Q3 / Find the solution of non-linear ODES below: y' +xy = 2xy %3D

A: The general solution of the differential equation is as follows below:

Q: (b) k(x) = |æ| + |x – 1| at c1 = 0 and c2 = 1.

A:

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: b) f(x) = V3 + x² at x = -1

A:

Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: 9. y = c¿e2x + c2e-2x + c3xe¬2x

A:

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

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Q: Find f(t). f(t) = 6e9r { 14 +54 +e⁹t 6s (s - 9)²) X

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

A:

Q: Find the value of x. x+1 M K in

A: In the given fig, we have two triangle ∆LMK an equilateral triangle And  ∆ JMK  an isosceles…

Q: t) Find the critical numbers of the function f(æ) = 2 %3D 2r+3

A:

Q: applications of differentiation/optimization problem - calculus

A: Keeping E and r fixed, we need to maximize the power given by the expression,

Q: 10. Find y' with the implicit function below. 3(x² + y²)² = 100(x² – y²)

A:

Q: Describe the long run behavior of f(n) = 4n° - 2n8- 5n° +1 %3D As n - 00, f(n) → As n 0, f(n) → ? v

A:

Q: 1) Suppose you are driving on a straight, level highway without any hills, and your distance away t3…

A: Gas pedal is closest to the floor of the car when the rate of change of distance is 0 or velocity is…

Q: :Q3 Classify PDEs below и ди y2 и + и = ue 5x — - ду

A:

Q: The function f:R R satisfies the condition mf(x-1)+ nf(-x) =2|x |+ 1. If f(-2) = 5 and f(1) =1, then…

A: Introduction :Given ,function f: R->R Which satisfies the condition mf(x-1) - nf(-x) = 2|x| +…

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: (2) Suppose f(x) = L 2n² %3D n=0 Find f90 (0). No need to simplify your answer.

A:

Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: 1.3 Verify that f d = xp= x2V1+ x2 V1+ x² +c using the method you were taught in this course.

A:

Q: According to a study conducted in 2003, the total number of U.S. jobs (in millions) that are…

A: Given Plugging t=5, Therefore the projected number of outsourced jobs for 2005 (t = 5) is 80…

Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

A:

Q: 4 Given the function g(n) = 4n" + 44n° + 112n %3D its g-intercept is its n-intercepts are

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Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

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Q: 2.2 nd, from first principles, fa(3, –1) for f(x, y) = 4x²y² + e®. |

A:

Q: Given the function f(n)=2n^4+4n^3−6n^2 its f-intercept is : its n-intercepts are :

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Q: So Ve Pollowing the D.E 3X 3y' = e - \2 X +39

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Q: b) f(x) = v3+ x² at x = -1

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Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6

Q: The function f: R R satisfies the condition mf (x-1)+nf(-x) =21x|+ 1. If f(-2) = 5 and f(1) = 1,…

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.