Find the area of the square generated by connecting consecutive roots of the polynomial p(z) = z^4  -1

Q: find integral   sqrt (x 2 - 9) /xdx

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Q: What is the indefinite integral of x*5th root of 4x-3

A: Given: ∫4x-31/5dx

Q: Find the integral of (2x+4)/(x^4+4)

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Q: find an estimate of the root of the equation x°+ 2x - 4 = 0, using bisection method. Perform…

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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: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: Find two positive integers such that the sum of the first and five times the second number is 2000…

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Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

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: Find the indefinite integral.

A: The question is taken from the calculus in which we have to find the integral  of given question We…

Q: Solve: In(x + 2) – In(4x + 3) = In %3D

A: Given equation is lnx+2-ln4x+3=ln1x.

Q: Find three positive numbers whose sum is 310 and whose product is a maximum.

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Q: 2. use Bisection method to find root for equationf(x) = , in %3D intervals [1,7]

A: We have to find the approximation of the root of the function fx=1x-2 using the bisection method in…

Q: 5. Find two positive numbers whose sum is 110 and whose product is a maximum.

A: Let two positive numbers be x and y  x+y=110

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

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Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

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Q: A 168-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

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Q: Determine the root of the equation x³ + x² = 1 in the interval [0, 1] by using bisection method.

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Q: Find two non-negative numbers such that the sum of two times the first and three times the second s…

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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: A 480-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: We will use Lagranges multiplier to solve this question.

Q: Evaluate the integral 2x 4)

A: ∫1e2x-452dx=∫1ex2-452dxSubstitute…

Q: Find three positive numbers whose sum is 3 and whose product is a maximum.

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Q: Find three consecutive positive odd integers such that the square of the first is 9 more than 6…

A: Given : The square of the first is 9 more than 6 times the sum of the second and third

Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: Find three positive numbers that sum to 150 with the largest possible product of the three.

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Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The…

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: Find the root of the following equation through Incremental search method

A: Given function is fx=x3−x−1. We have to find the root of the equation fx=x3−x−1 by using Incremental…

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

A: Let the first number be x. Let the second number be y.   Given: x+4y=1000x=1000-4y   Determine the…

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: Find the integral of  (3x2-4)/(x3-4x+1)

A: To find  ∫3x2-4x3-4x+1dx

Q: Mroset Whiteboard EX2: 3リ-17

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Q: Find the integral of -7x^2+1 / (x^2-2)^5

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Q: Use a linear approximation to estimate the number sqrt9.1  .

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Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

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

A: Given: The sum of first number and four times the second number is 1000. The product of two numbers…

Q: Use Bisection method to solve (x - 2)¯ - In (x) = 0, [1, 2]

A: Please refer to the image below

Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

Q: Divide the number 120 into two parts such that the product of one part and the square of the other…

A: To divide the number 120 into two parts such that the product of one part and the square of the…

Q: A 50-in. piece of wire is divided into two pieces and each piece is bent into a square. How should…

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Q: find integral of 8xsin(4x2)

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Q: Explain the process of extracting roots which are not perfect square

A: We can use Shri Dharacharya method to find the roots of any quadratic equation.

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a square from…

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Q: Integrate the indefinite integral sqrt(16-x2)/6x2

A: Here we integrate indefinite integral∫16-x2x2

Q: Find a non-negative number whose difference from its square is a maximum.

A: non-negative number whose difference from its square is a maximum.  Let the no is x

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.…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.