Given two nonnegative numbers a and b such that a+b=4, what is the difference between the maximum and minimum of the quantity 13a^2b^2?

Q: Find two positive real numbers such that the sum of the first number squared and the second number…

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Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

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Q: a^2+b^2+c^2 = 2 then find minimum value of 3a+4b+5c

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Q: (x – a)² +y² = a²

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Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: Solve all questions. All questions carry equal marks. Q 1. a) Let y = x6 – 5x5 + 5x* – 10. Then find…

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Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: Given H(a)=a4-3a^2-a+1, the domain is

A: The domain of a function is the set of all values of the variable for which the function is define.…

Q: Fihd the minimum sum of two positive numbers (not necessarily integers) whose product is 500.

A: Given that: Product of two positive numbers is 500

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

Q: I have to find a and b when the gcd of these two natural numbers is 7, and a^2 + b^2=490

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Q: List all pairs of positive integers x and y that satisfy the equation x^y=2020^2020.

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Q: dy dx = 3√√xy² + 9x with y(1) = 4

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