4. If X has an exponential (A) PDF, what is the PDF of W = X² ?

Q: Compute the first and second derivatives of the following functions. s(x) = ln(x²) (use a law of…

A: We use logarithmic properties

Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

Q: sketch the shifted exponential curves

A: We have to sketch the shifted exponential curves: y=-ex and y=-e-x. We know the graph of ex and e-x,…

Q: of two observat

A: Let the Geometric mean of two observations is  1n. GM=1nHM To prove that  (1+1-n²) :(1-1- n²)

Q: d) A population of 100 bacteria decays at a rate of 5% each day How many bacteria, y, will there be…

A:

Q: Find the differential of the given function.

A: Given function - z = 1-2v+v4-23Differentiating on both sides with respect to v -dzdv =…

Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: Explain the method of fitting of an exponential curves of the form (i)Y = abX and (ii) Y = aebx to…

A:

Q: 3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x

A: The given function is, y = x.Take log on both sides of the function.

Q: In the given question as follows, find the derivative of the function.   y = ln(2 - e5x)

A:

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A:

Q: Find the derivative of the logarithmic function. 6 + y = In

A:

Q: If f10,500 is invested fie 3 4ears at a rate of 9%.how much willyou have if interest Es compounded…

A: P=10500t=3 years.r=9%=0.09To find A

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: what is the derivative to y= e^-1?

A: Given,

Q: What happens to the rate of change of the exponential function y = ax as a becomes larger?

A: To explain the given problem

Q: Evaluate the derivative. * d (log10 (x)) dx (In(10)) O Option 1

A: we have to find the derivative

Q: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: Derermine The FirST derivative of : 千irsT OF F) = x³ .16 V5メ-2 こSioN Expa usiNG Logalith mic Ex…

A:

Q: Find the derivative of n^(ln⁡(cosu)). Where n=822

A: Given information : nlncosu Here, n=822. we have to find the derivative of given function.

Q: What is the first derivative of s(æ) = 4e"*.

A:

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

A:

Q: If f(x) = cos(2x), which of the equations below describes the average rate of change of f(x) over…

A:

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: In an effort to make the distribution of income more nearly equal, the government of a country…

A:

Q: What is the derivative of e' dt?

A: We use Leibnitz integral rule.

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find a number such that the tangent line to the graph y= log,(x) at x = a is parallel to the tangent…

A: The objective is to find the value of a

Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S. degree is…

A: Given

Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

A:

Q: 25% of the initial intensity I.

A: answer is in next step

Q: Solve for the following: A. What is the joint marginal PDF of X and Z? B. Refer to pic

A: Given the joint pdf of X,Y and Z:- f(x,y,z) = xyz29,      x∈(0,10) , y∈(0,20) , z∈(0,3)  We need to…

Q: 3. Differentiate y = xcosh x (Use logarithmic differentiation)

A:

Q: 6. A supplier of kerosene has a 150 gallon tank that is filled at the beginning of each week. If X…

A:

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: Find the indicated derivative. dp for p = dq 1- 9 dp dq

A:

Q: Find the linearization of the function k(x) = ln(x) when x= 1 and use it to estimate ln(1.1).

A:

Q: (x² +SJ° In 14-X つ. dr

A:

Q: What is the second derivative of 大 S(e) = e*?

A: the given function is f(x)=ex2

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Let f(x)=5ln x       and g(x)=ln x,

Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5

Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

A:

Q: Find an equation of the tangent line to the graph of (log æ)cosh(a-10) , x >1 at the point where x =…

A: Given equation is  y=log xcosh (x-10), x>1 at x=10

Q: What is the derivative of : ln cos 3x

A:

Q: 1.) Find the 30th derivative of y = e¯*

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.