28x-4 x 163*5 =16 х 16 Зx-5 %=D16 =16°x+2

Q: SVe -z) + 4 dz

A:

Q: 4+ Vx dx 7.

A:

Q: 8. Which equation has exactly A 7x =7 B) 7x 7a x +1 = x + 1 Dx+1= x + 2

A: A) 7x = 7 implies x = 1 Exactly one solution B) 7x = 7x  This is true for each x Implies infinitely…

Q: In the inverse variation equation y = k/x what is the effect on x when y is doubled?

A: In the inverse variation equation  y=kx  what is the effect on x when y is doubled

Q: 42 dz-

A: We have to find out the value.

Q: Evaluate the integrals

A:

Q: S, 53-2x dx -2

A: 4 Given  ∫-22  53-2x  dx

Q: S sec 7x tan 7x dæ 4,

A:

Q: Sx-4/5 dx

A: Given, I=∫x-45dx

Q: Finds 2) S 12x-31 dx

A:

Q: 2 - Jx - 3 – v 4) lím エ→7 x² – 49

A: Given: ⇒limx→72-x-3x2-49

Q: dx 3. V25-16x

A:

Q: d – 9t³ )dt dx

A: We need to evaluate the following derivative ddx∫0xt5-9t3dt Formula Used : ddx∫axftdt = fx

Q: 3 ex dx,n = 10 х, п 1

A:

Q: S 36x2+25 - dx

A:

Q: dx 78t3 + 5x – 2 = 0. dt

A:

Q: Simplify S. dx V2x-3

A:

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: 00 -36z2 Evaluate fe dx 12 16

A:

Q: Solve x2 + 10x – 7 = 0 Give your answers correct to 3 significant figures. Show your working…

A: For the quadratic equation, ax2+bx+c=0, the quadratic equation is given by:

Q: L, 5e4x dx -2

A:

Q: secant

A:

Q: S(2 + vx)³ Vīdx

A:

Q: (2rw + w - ve"2)dv + vdw = 0

A:

Q: -3/2 dx S(35 + 4x – 4x²)

A: Explained below

Q: cos s 40 d0

A: Let's find.

Q: If z = x2 - xy + 3y2 and (x, y) changes from (3, -1) to (2.96, -1.05), compare the values of Az and…

A:

Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: se-2+10 dx V4e

A:

Q: The amount of a particular pollutant p from a power plant in the air above the plant depends on the…

A: Fiven: p=27-0.03s2

Q: dz V2a - 1 00 * dz

A:

Q: 2sinax cosbx dx -

A:

Q: POT Q3.If f(x,y) = sin'(x-3y) +sin xind: of af and ду

A: Given:     fx,y=sin2x-3y+sin-1xy Taking partial derivative with respect to x.…

Q: If a ball is thrown straight up with a velocity of 32 ft./sec., its high after t sec. is given by…

A: After maximum Hight ball will return back so its velocity will be zero for a moment at the maximum…

Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: Sv 4. 3-4x² dx

A:

Q: sec (2x) (Round off to 2 decimal places) tan (2x) 12

A:

Q: Evalmate: 3/2 Cas 3x) dx

A:

Q: -7 dx Vx-9 3

A:

Q: 2. (sec 5x t C9C 5x) dx

A:

Q: sec x dx 5.

A:

Q: Aut (2) E Z..

A:

Q: ,3π/4 6) 5 csc 2 x dx T/4

A: The objective is to evaluate the given integral

Q: te v" ח 1 'זר י:רר וודי ,

A:

Q: 12sin3xcos7x dx

A:

Q: S5-3* dx =

A: Recall: ∫ax dx=axln(a) d(ln x)dx=1x

Q: Solve ODE xdy/dx + y = 0 when x=4 and y=6

A: Given,xdydx + y = 0x dydx= -yx dy = -y dxdyy = - dxx

Q: 6/T-9x dx

A: Here we have to integrate        ∫[(6√x - 9x)/x2] dx

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.