'3 Suppose that f" is continuous on [1, 3] and f(1) = 8, f(3) = -3, f'(1) = 7, and f'(3) xf "(x) dx. = 4. Evaluate %|

Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: c) Given density is, fx=0.375x2, 0≤x≤2 Consider, P30 sec≤X≤90 sec=P0.5 min≤X≤1.5 min)     since, 1…

Q: Compute the second derivative of  f(x)=ex+x  at x = 1 using a step size h = 0.1  The forward…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: let X~beta(a,b). find m.g.f ofY=ln| 1-x

A:

Q: question 32

A: Given,

Q: 2. A college professor never finishes his lecture before the end of the hour and always finishes his…

A: Note: Since you have posted a question with two subparts, we will solve the first part for you.…

Q: Compute the second derivative of  f(x)=ex+x  at x = 2 using a step size h = 0.2  The backward…

A: According to the question; f(x)=ex+x                                                     ; x=2step…

Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…

A:

Q: 4. Suppose that O is a uniform random variable on the interval (-1/2,1/2). Let T = tan 0. Find the…

A: Solution

Q: X₁ and X₂ are random samples from exp(). when x > 0.) (pdf of exp()=e Determine the constant c so…

A: we have given that Xi follow exponential with mean λ that is E(Xi) = λ also, X1 and X2 are…

Q: 4)* Find the derivative of f(x)= Arcsecr. %3D f'(x) = 4 rv.r* O None of the above O Option 4 f"(x)=:…

A:

Q: 7) Find the average rate of change of the function K(x) = cos (x--) from x = 0 to x = 6

A: First of all find values of function at end points then put in formula of average rate of change.

Q: b) Is the Soluticn increasing or P N decreasia a when between o and te canyjug capacity

A:

Q: 9. Let Y1, Y2,..., Yn constitute a random sample from the pdf given by f (v) = (0 – y) for 0 sy sO.…

A: Given: The sample probability distribution function of Y1,Y2,......Yn is: f(y)=2θ2θ-y  for  0≤y≤θ

Q: Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are…

A: Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Q: 1. Show the marginal PDF of X. 2. Find P(X >Y). 3. Find P( < X s }).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Find the equation of the normal line to the curve f(x) = 6e2* cos x at the point (0,6).

A: Given: fx=6e2xcosx; 0,6 We know that for finding equation of normal at given point, we need to find…

Q: Q1. (a) Show that the following function is continuous at x = 1 for all values of p. spx + 1, if x >…

A: the given function is: fx=px+1     if  x≥1x2+p      if  x&lt;1 we have to show that the given…

Q: 1.9.5. Let a random variable $X$ of the continuous type have a pdf $f(x)$ whose graph is symmetric…

A: The expectation of the random variable X-c can be represented as, EX-c=∫-∞∞x-cfx·dx The graph is…

Q: 12. Consider the function f (x) = sin (nx). On the interval [0,3]. At what value of x would the…

A: Topic = Derivative

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: If X is exponentially distributed with parameter λ and Y is uniformly distributed on the interval…

A: Given, X is exponentially distributed with parameter λ Y is uniformly distributed on the interval…

Q: Suppose X1 and X2 are iid observations from the pdf f(r|a) = ax 0. Show that (log X1)/(log X2) is an…

A:

Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

A:

Q: suppose that y is an implicit function f(x) defined by the equation x^3 + y^3 = 8xy − 7. find the…

A: suppose that y is an implicit function f(x) defined by the equationx3+y3=8xy−7. find the equation of…

Q: question 31

A: Consider the given function.

Q: 1-cos(x) X has PDF f(x) = if 0 < x <T 0 otherwise %3D Find the probability P(0.38 < X < 3.12).

A: Given:fx=1-cosxπ, if 0&lt;x&lt;π.fx=0, otherwise. The probability, Pa&lt;x&lt;b  of a probability…

Q: Q1. (a) Show that the following function is continuous at x = 1 for all values of p. spx + 1, if x…

A:

Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: {fn(x)}1 converges a.e. to a function f(x) to be determined.

A:

Q: 98x2.1for one year to y

A:

Q: If Y Poisson(A) and A has pdf f(A) = e-^ for A > 0, elsewhere, find zero E(2Υ) V (2Y):

A:

Q: 8 Ay 10- f(x) dx using Compute the following estimate of 8- the graph in the figure. 6- S(4) 4- 2-

A: The given graph is  To find ∫08fxdx using Simpson's Rule with n=4

Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.

Q: Find the derivative y = e* In x In x ex E + e* In x O None of these

A: Use product rule:-

Q: 4. Find two values of c in [-4, 4] such that f(c) is equal to the average value of f (x) = 3 cos 2x…

A: To determine c such that f© is equal to the average value of f(x).

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

A: Given: Lorenz curve for first year: y = 0.97x2.1 And for the next year: y = 0.35x2 + 0.65.

Q: 1. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of (e0.001x f(x) = {…

A:

Q: 51. Determine the intervals along the x-axis on which the derivative in Figure 16 is positive. У 4.0…

A: The derivative of the function is positive for the intervals in which the graph of the function is…

Q: 10. Find the particular antiderivative of the derivative f'(x) = 3x-1 – x-2 where f(1) = 5.

A:

Q: Apply the first order forward difference formula to find the derivative at x = 2.1. fx) 1.2 0.694444…

A: We need to find the derivative of the function f(x) at x=2.1 by applying first order forward…

Q: 3. F(x) = " In(x) (4t + et) dt. Find the derivative of F(x).

A: Given, F(x)=∫1ln(x)(4t+et)dt To find : Derivative of F(x) By using the second fundamental theorem of…

Q: Prove that d-function is the distribution derivative of the Heaviside function { if x > 0, if x < 0.…

A:

Q: 1.) Find the area under the curve y = x3 + 3x2 and the axis between x = 1 and x = 3.

A:

Q: 4. Find the second-order derivative of the following function: f(z) = log, cos z + In %3D

A:

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

A:

Q: 2. The Lorenz curve of a particular society is given by L(x) = Ax? + Bx. %3D Suppose that the…

A: We will use given values in Lorenz curve and Gini index to create equations for A and B , Then solve…

Q: Which of the following graphs is the slope field for dx 12 -3-211. s 2 13 US 111-2-/35 1112 111²-111…

A: Here we have to solve the given differential equation and plot the solution

Q: The equation of the tangent line for the graph of Fx)= | Ln(P+4)dt at x=2 is F(x)=

A:

Q: V. Find the slope of the normal line to the graph of g(x) = where x = 0. log₂ (1-x) sin ¹(x) + e² at…

A: