SHOW THAT 30 to Xン0

Q: Show that √2 + √3 is irrational.

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Q: Suppose that ƒ′(x)<= 1 for 1<= x<= 4. Show that ƒ(4) - ƒ(1)<=3.

A: Show that:

Q: Apply u-substitution

A: We have to find the integration using u-substitution: ∫4ln1xxdx Rewriting the integration using…

Q: Show that 0 x+1

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Q: Ive for æ if In(x? – 1) = 0.

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Q: 2. Let h(x) = |9 – x²].

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Q: By using the substitution method, show that for any positive numbers x and y

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Show that 8.

A: A∞=Max∑j=1naij  for i=1 to n=maximum row sumA*=AT=ajiA*1=Max∑i=1naji  for j=1 to n=maximum column…

Q: (In x+2) Simplify further as, + In x

A: We have to simplify the given equation.

Q: - In(x - 2) + 3, X

A: answer is in next step

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

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Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: Find f"(-1) if Ax) = (x). -6 O -5 O 5

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Q: Find (3+2)^2 using identity.

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Q: In(x) dr. x² + 9'

A: Sol

Q: How prove That ()

A: Just try substituting z=x+iy and simplifying.

Q: 6. Find f'(1) if Ax) = nx

A:

Q: Show that x2 + 9 is prime.

A: To show x2 + 9 is prime.

Q: Show that any positive integer n with n ≥ 4 can be expressed as n = 2x + 5y where x ≥ 0, y ≥ 0.

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Q: find the value of x in (1/(3x+1))+(1/(x+1))=(1/(3x+1)(x+1))

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Q: solve for x in x^2/5=9

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Q: It is possible to rewrite the expression 4. 2 In(x) – In(ax) as In(kx) where k is a constant.…

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Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: (d) In(2x - 3) + In(x) – In(x + 1) = 0

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Q: Evaluate: / sec (5x + 1).5dx

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Q: Suppose F(4) = - 1, - 1, %3D

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Q: Determine whether yy00 ory-y – ∞ as x-7-a∞ Ond x-7∞, 2 =x=-4x²-4x-8

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Q: Find l- elodw no X -1 X -> / /-

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Q: Prove that if 8x-5=-2x-15 then -x=1

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Q: Show that for n ≥ 3, ô(n) is even.

A: We have from the definition of Euler ϕ function: ϕ(1)=1 and ϕ(2)=1 Now Let n ≥ 3

Q: Show that 0. x+1

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Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: 2 In x | Show that 4 x* +1 16

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Q: If A #8 then

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Q: It is possible to rewrite the expression 2 In(x) – In(ax) as In(kx) where k is a constant. Perform…

A: The given expression is: 2 ln(x)-ln(ax)

Q: 9.

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Q: Express the following using factorials: 10 x 9 x 8 x 7

A: Meaning of factorial of a natural number : Suppose n is a natural number then meaning of n! is…

Q: Show that 5 – V7 is an algebraic number.

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Q: Find s' if s = (4x + 1)2 x² – 2 |

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Q: Sarcsin(x)dr ((2)

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Q: Define β1 stands for?

A: β1 is mainly used in linear regression.  The linear regression is defined as the mathematical linear…

Q: Express 3x, xπ, and xsin x using the base e.

A: Our Aim is to express the following function using the base e given below:-(i) 3x(ii) xπ(iii) xsin x

Q: if 15cotx=12,then find secx?

A: Consider given trigonometry equation

Q: What is/are X-value(s) in elx2-3x+2)= 1? www 1 O (2,1) O none of these

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Q: If 2sin-1x = n, what is x?

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Q: Solve the equation.

A: given,         log x=1- log (x+2)

Q: that the from F, wherd Fron 4445,F).

A: F≈GL(5,F) F≈GL(5,F)≈z2x<x2+x+1> F is also a field of type z2x<px>