What is one of the factors of x'-512? .3 A. x' +8x+64 B. x+2 x² +x +4 D x + 8x + 64 .3

Q: Solve 4sin^4 x -3sinx=0 if x ϵ [0,2π)

A: This question is related to trignometry, We will solve it using given information.

Q: 8. A) Differentiate y = 4Vx + + 10 -

A: Given : Equation is given  Then we have to differentiate that Equation .

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A: Consider the given system of equations.

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Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: 1. 05x<5 2k ī (x) if (I - x) if sxsI 2 2kx < 1 2

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Q: 2. Differentiate: y=7*in¨"x

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Question #6

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Q: iven by 5x3 at x = 1 is: %3D

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Q: Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers.

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A: The solution of given linear programming is given by using graphical method :

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A: We have to find fouth term

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Q: 1, z2ー

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Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

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Q: 6(-ズ) -2Xg +zy= @ y'= -2xy 6ずー+メ =o S(+2x)ず+3x+}=0 3-を

A: Given The given differential equations are (A) (1) 1-x2y"-2xy'+2y=0 (2) y'=-2xy (5) y'-y=0

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A: We have to factor x from ax+bx.

Q: S x²(In x)²dx

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

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A: Given equations 1)x^2+9y^2+9z^2=81 2)9x^2+y^2+9z^2=81 3)9x^2+9y^2+z^2=81

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: How do you prove this?

A: Solution is in step 2

Q: Suppose X ~ N(2,3). What value of x has a z-score of -0.67?

A: Given, X ~ N(2,3) Implies, Mean = 2 Standard deviation = 3

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

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A: The given expression is

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Q: 7. Find mzV. V -27+10x=D29tda K-2x W (2x + 29)° ー +8メ= 091/10x-27) et 8x=56 8.50 メ=7

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Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1

A: ∫xdxx-1

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.