5. Show that for the distribution df = yo e¯x/2 " – 1 dx, 0sxs∞ n-1 n + Hj' (about the origin) = v2r and µ2' = n. %3D

Q: .3 Find the derivative of the function f(s)= 12s³+ 5secs. a. f'(s)=36s² + 5secs · tans b. f'(s)= 3s²…

A: We have to find derivative

Q: 4e) Sketch the araph of f, label the extrema, Infltction paints, and of concavity regione Wthat…

A:

Q: メ=1 45 the right of the line , y= what is the of the unbounded regron between the grea Curve Ond the…

A:

Q: Determine the area between the curves y = 3x - 1 and y = 4 x on the interval 0 sxs 2. 6 5 4. 1 0.2…

A:

Q: / Find dy/dx of the following function y = 3tan-2*ln(sec(2x)

A:

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

A: Let X be the random variable from Bell- shaped (normal) distribution with mean = 100 and standard…

Q: . Find the area of region between two functions fix)=sinx, g(x)-cos2x,-끌sxs을 %3D

A: The area between two curves A=∫abf(x)-gxdx sinx=cos2xsinx=1-2sin2x2sin2x+sinx-1=0sinx=-1±1+84=-1,…

Q: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

A:

Q: 14. By integration, determine the area bounded by the curves y=6x-x² and y=x²-2x. A. 25.60 units2 C.…

A:

Q: 6. The average value of a function is defined to be favg = f(x)dx. Find the average value of the…

A: Consider the given function.

Q: Normalize Y,'(0, ¢) = N sin© e¬lº and find out N %3D

A: The given function is, Y1-1θ,ϕ=Nsinθe-iϕ Where N is normalization constant.

Q: №.4 Find f¹(4.8) and f" (2.2) for the follo data in the below table. Ⓒ Find J fixi dx O X 0 1 2 3 4…

A: Introduction: The formula of Newton's forward difference interpolation is given by…

Q: The Normal to the curve 2x2 – y? = 1 at the point (1,1) is: %3D 3 y =-*+ y =x+ y = 2x + 1 %3D P. y =…

A: To find The equation of normal to the curve 2x^2-y^2=1 at the point (1,1)

Q: Find df / dx and of / dy. f(x,y) = elx +y+7) (x +y +7) of I dx =

A: Given : fx,y = ex+y+7

Q: write the equation of normal line for xsiny = cos(x+y) at ( 112, 0)

A: To find equation of normal line

Q: 2 .  Approximate  6 4 1 ln(x)  dx  using the midpoint rule with four subdivisions to four decimal…

A: Given :∫461lnxdxn=4

Q: Approximate the value of f'(0.50) if f(x) = 5ln(3x) + 6cos(3 - 7x) Using Centered Differencing. h =…

A: Given equation is f(x) = 5ln(3x) + 6cos(3 - 7x)

Q: 4/Find the area of the region enclosed between the curves y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: The curves given to us is  y=cos2x,y=0x=π4,x=π2

Q: Approximate the integral dx using Simpson's Rule and four rectangles.

A: Given,  ∫121xdx

Q: The values of x of the curve y =-- 4x where y' = y"

A: ddxx36-4x=x22-4d2dx2x36-4x=xAs y' = y"x22-4=x  :x2-2x-8=0x1, 2=--2±-22-4· 1·-82· 1The solutions to…