function operations f(x)=4x+1 g(x)x^2+3x h(x)=5x-6

Q: lim x→−2 (3x^4+2x^2−x+9)

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Q: 5x-4x 4. lim X 2x2+3 5. limvx6 +5x3- x3 3 2+3x-5x² 6. lim x- V 1+8x2

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Q: limx→∞x3+26x2−x=

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Q: Absolute maximum and minimum values of f(x)=2x3-3x2-12x+1 on the interval [-2,3]

A: The given function is: f(x)=2x3-3x2-12x+1 ;            x∈-2, 3

Q: limx 3 Vx+2 – V5 x-3

A: Given,              limx→3x+2-5x-3

Q: lim (x' - 2x² +5)=. – 2x² +5)= x→-2

A: Please refer to the image below. 9

Q: Lim 5x−3 – 4 x→∞ 2x-2 + 9

A: Given,          limx→∞5x-3-42x-2+9

Q: lim x→4 (3x3 − 4x2 + x − 9)

A: Given limit is Since, the function f(x)=3x^3-4x^2+x-9 is defined at x=4, so we will evaluate the…

Q: Find the relative maxima and relative minima, if any, of each function and label them. State both…

A: To Find the relative maxima and relative minima f(x)= -x2 + 6x + 7

Q: A rectangular box with volume 182 cubic feet is built with a square base and top. The cost is $1.50…

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Q: х —2 Га) lim x4-X-4 x- 3 (b) lim х+2 (х — 2)2

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Q: lim X+X -4 6x²-5

A: Infinity Limits

Q: Elimination of arbitrary constants.

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Q: Discusses the optimization of multivariate functions. Also explain the conditions for multivariate…

A: A multivariable function is just a function whose input and/or output is made up of multiple…

Q: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: lim 7x+x² X-3

A: Given that, limx→37x+x2x-3

Q: lim x-1 2x³ +3 3x² + 1 - 3x + 2

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Q: Using the process shown in this unit, sketch the function y = 2x3 - 3x2 - 11x + 6, labelling all key…

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Q: Variable separable

A: The given initial value problem is, y'=xy21+x2,  y(0)=-1. Solve the initial value problem using…

Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: (а) 5x-3 – 4 (i) Lim x-00 2x-2 + 9 (х — 3)2 (ii) Lim X→∞ X2 2 7- 2x – 3 2х —

A: That's easy. Have a great day!!!

Q: the optimization of multivariate functions.

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Q: Elimination of arbitrary constants

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Q: lim x2 - 2x -15 / x2 -25 x->5

A: The given limits: limx→5x2-2x-15x2-25 Putting the limits, we have:…

Q: the profit function for a computer company is given by p(x)=-x^2+25x-23 where x is the number of…

A: Here we use the concept of derivatives

Q: (i) Limx→∞5x3 − 4/2x-2 + 9 (ii) Limx→∞(x − 3)2/x2/2− 2x − 3

A: The limit expression is Limx→∞5x3−42x-2+9. Simplify the expression:…

Q: lim (5- x) 6- 3- 2- 2 3 6. 4.

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Q: Realice la gráfica f(x) = 2x +2

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Q: limx→→∞ √1-x+2x+7 2 9x +5 - 3x

A: limit.

Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: By using rectangles whose height is given by the value of the function at the midpoint of the…

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3  - 12x2  + 5x + 3) as f(x)

Q: lim 1-2 2x2-x-6 -1 lim -2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: lim x* + 5x2 – 12x + 3 x→-2

A: Given function is: limx→-2x4+5x2-12x+3

Q: Absolute minimum value of the function f(x) = 2+ 6x2 – x³ - on the interval [-3, 2] is Select one:…

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Q: lim (x²+2x-3) x-4

A: Solution Givenlimx→4(x2+2x-3)we need to find the limit approach

Q: Find the absolute maximum and minimum values of the function f(x)=−x3+27x−15 on interval (0,∞). If…

A: Given that, The function is following, f(x) = - x3 + 27x - 15 Intervel is (0, ∞) We have to find the…

Q: quotient rule: 1. g(x) = x / x2 + 3

A: Note - differentiation Using quotient Rule Note- As per bartleby Guidelines  We are supposed to Do…

Q: lim 7x + 3. x-2

A:

Q: A rectangle is inscribed between the functions f(x) = 3x2 and g(x) = 10 − x2 Determine the maximum…

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Q: We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for…

A: We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for…

Q: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

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Q: Find absolute extreme values of the function on the interval  -x^2+10x-31, 3<x<7

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Q: (а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

A: to solve the limit proceed as follows…

Q: 5x-3 – 4 (i) Lim: X-00 2x-2 + 9 (x – 3)2 (ii) Lim - 2x- 3 2

A: (i)

Q: Lim                   2x3 -x-3x4 +5/-5x3 +2x-1                             X →∞

A: we need take highest common degree from numerator and denominator

Q: USING QUOTIENT RULE DIFFRENTIATE 2x-1 x+1

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Q: lim x → ∞0 5x²-x + 1 2x² + 5x - 4

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Q: The volume of a box with a rectangular base is expressed by the function V(x) = x^3-15x^2+66x-80 a)…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.