Given f(x)=3x^3+kx-11 and x-1 is a factor of f(x),then what is the value of k?

Q: A 40­inch board is to be cut into three pieces so that thesecond piece is twice as long as the first…

A: Let the length of first piece is x inches. The length of second piece is twice as long as the first…

Q: f-8=-5 of %3D

A: 1. Given Data Equation 1: f-83=-56 Add 83 on both sides of the given equation (1).…

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

A:

Q: Linear Func 3. y = 2x + 2 4. y = 2x – 2 !!! !!!

A:

Q: Find three positive numbers whose sum is 300 and whose product is a maximum.

A: Let x ,y,z are 3 positive numbers such that x+y+z = 300 and xyz is maximumThe problem formed…

Q: _f(x) 6 5- -4- 3 1- -4 -3 -2 -1 3 -1- 4. 2- 2.

A:

Q: Find three positive numbers whose sum is 600 and whose product is a maximum. Answer (separate by…

A: Given that the sum of three numbers is 600 and their product is maximum. We need to find these three…

Q: intergral (x+5) / (x^2+6x+9)

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Q: the pace factor of a random man was recorded to be 0.76 meters per step. if there is 2.7% margin of…

A:

Q: a 2 x 2 “corner"). Is it possible to tile the remaining squares with 3 x 1 tiles (which can be…

A: we use area of square to find the card of 3*1 is possible or not

Q: 12. X 13. 2700x5 - 2160x4 -1773x³ +667x² +549x + 81 Y 14 y3 - 2x² - 4× - 55

A: see 2nd step.

Q: (25-x2)2 Vx2+2x+5

A: We have given,

Q: Differentiate f(x) = (2x³ + 3x² )(x² + 5x³ +5) using product rule.

A: This question is based on product rule of differentiation.

Q: The zeros for Ax) = x-4x-9x + 36x are 1) (0,+3,4) 2) (0,3,4) 3) (0,±3,-4) 4) (0,3,-4)

A: Using method of synthetic division to find factors of f(x).

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

A:

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

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Q: (x-3)-(-8x)/(x+1)+(x+1)x

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Q: Sobe by Sato titator 2X x2 +8X+25

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Q: x^3-10x^2+23x-14<0

A: Given that: x3-10x2+23x-14&lt;0

Q: A rectangular plot of ground is 120 m long and 80 m wide.To double the area of the plot,while…

A: For Rectangular plot,  Length = 120 m Breath = 80 m

Q: 5) fx)=-16r² + 24x – 5 6) Ax) = -4x² + 6x + 18

A: Given:- 5.  f(x)=-16x2+24x-5 6.f(x)=-4x2+6x+18 To fimd:- Maximum or Minimum value of given functions

Q: The sum of one positive number and the square of another equals to 21. Choose the numbers so that…

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Q: Find two positive numbers whose sum is 24 so that the product of the square of the first number and…

A: Given, Sum of numbers =24 Let numbers are x and y. x+y=24 P(x)=x2y4 is maximum.

Q: What is the maximum product of two numbers whose sum is 9 ​? What numbers yield this​ product?

A: The sum of two numbers is 9.

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

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Q: -X1 + 4x2 + x3 = b1 X1 + 9x2 – 2x3 = b2 6x, + 4x2 - 8x3 = b3 (1) b, = 0, b2 = 4, bz = 0 (ii) bị = -…

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Q: If Var(X)=3, what is Var(2X + 1)?

A: GivenVar(X)=3

Q: 3x-2 25. f(x) 25x - 36 =- -5x+4 *+7x+6 26

A: We will solve the following

Q: -x2 - 6x 9 = 0 A=Dーメー 6x-9) (x) Rx)3--6x-9 -2 6,

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Q: 13, mz1=(x² +7) and mz2 (2x² + 19)".

A: we have to find the angle between the floor and the light beam.m∠1=12x2+7°m∠2=2x2+19°sincem∠1=m∠3now…

Q: 2. 5x -x3 3

A:

Q: I need help. Divide -3x2 - 4x2 + 4x + 3 by x -2

A: We have to divide the function:  -3x3 - 4x2 + 4x + 3.   by    x - 2

Q: 5 = 3 x-2 x2 -4

A:

Q: Solve the equation

A: x+5x-19=-1

Q: 2 The maximum value of (-3 + 4x – x + 4)2 + (x – 5)2

A: Introduction :

Q: f(x) -10 -8 -6 –4 -2 4 8 10 1 -2 -3 -4 - 6 -가 -8F 2. 1.

A:

Q: -2(x+5)-1/2(-10x-4)

A:

Q: 1. 9, 5. f(x) =-2x² +1 -3 -2- -5 -4 -3 -2 -1 1 -1 -2 -3 -4 -5 -6 -7

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Q: What is the maximum product of two numbers that add to 28? What numbers yield this product?

A: Given query is to find two numbers that add to 28 and their product will be maximum

Q: Find concave upward and concave downward of 6x^2-x^3

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Q: 5. Lox 5 ax29x-10 '12x2x-l6 -2x+9 = 3x+4 laxa-29x+15

A: From the given problem: 6x-59x2-9x-10+-2x+912x2-x-6=3x+412x2-29x+15 Now solve:…

Q: Find the root between [-5,-4] where f(x) = (x+2)' – 3x +5 with error =0.1 by using False Position…

A: To Solve the given problem by using Regula Falsi Method to find the Root

Q: find the vallue of X 3x° 2x0

A: Here we have to find the value of x and y.

Q: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x )…

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Q: 2/ Find domain of y = x2-7x+10 x2–3x-5

A: on solving this we get

Q: Max Z = 3x1 + 182x2 %3D Subject to 9x +5x를 S 72

A: In this question, we use the KKT condition to solve the NLP. MaxZ=3x1+182x2subject…

Q: Find three positive numbers whose sum is 400 and whose product is a maximum. Answer (separate by…

A: Let the three numbers be x, y, z. The sum of numbers = 400. Therefore, x+y+z= 400.…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.