Find the normal line to f(x) = ax 8ax at x= 9. Assume that a is a positive constant.

Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

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Q: Find the average value of the function LX TEX f (x) =4sin| on the interval [3,6]. COS 4

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: Let X be a random variable with pdf f(x) = kx*,-1 <x< 1. Find E (X).

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Q: Find the average value of the function f(x) = cos4 x sin x on the interval [0, π].

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Q: Which of the following has a horizontal normal line at x = 0? y = Vx 1 x2 y = 1 - || నా

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Q: Find the normal line to f(x)=ax^2-3ax at x=2. Assume that a is a positive constant.

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Q: lom variable X is given below. fx(x) 1 2 a random variable Y, where whose PDF is given below. fy(y)

A: *Answer:

Q: From 00 2 E (6) = 10° / 7 (1²57) ² exp [177] by evaluating the integral. dE, show that the average…

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Q: Prove that the mean and variance are obtainable from RX(t)= ln(MX(t)): MEAN=E(X)=Rx'(0),…

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Q: Find the average value of f (x) = x cosx² for 0<x< V 2

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Q: . Consider this pdf: f(X) (1<X<2). Determine the expected value of X.

A: We have given that  Probability distribution function  f( x ) = 2/ 3 x   , 1 &lt; x &lt; 2

Q: 1. Find the equation of the normal line to the curve at the point indicated. Express your answer in…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The Gamma pdf for continuous random variable Y takes the form 1 va-le-y/ß -lB y > 0 f(y) = βαΓ (α) "…

A: Given that Y has Gamma distribution with α=3 and β=1.6. Consider,…

Q: f (x) = r/ /1+(lnt)² dt

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Q: For a well behaved function, y = Ax(1-x) (where, 0) for a series of measurements of 'x'.

A: (i) Normalization constant…

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: 2. Find the average value of the function y = x sin(2x) on the interval [0,7 / 2]. ll the steps in…

A: To determine the average value of the function y=x sin2x on the interval 0, π2.

Q: Find the normal line to f(x) = ax - 3ax at x=2. Assume that a is a positive constant.

A: The given function fx=ax2-3ax at x=2.   Formula used:   Formula for finding normal to the function…

Q: Find the average rate of change of y with respect to x on the interval [1,4] where y=x^2+x+1

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Q: Let my (t) = (0.3+0.7e')* be the moment-generating function :of Y Find the standard deviation of Y…

A: Solution: From the given information, the moment generating function of Y is

Q: Find the maximum likelihood estimator for θ in the pdf f(y; θ) = 2y/(1 − θ^2), θ ≤ y ≤ 1.

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Q: (a) Is first order stationary (b) Has total average power of 61 W

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Q: (Which one is determined by these conditions for the bivariate functionz = f(x, y)?)

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Q: FIND THE EQUATIONS OF THE TANGENT NORMAL LINES TO THE 0 o 2 ARVE: X*ty" © (0,0 -6x +2y -O %3D

A: Given:- x2 +y2 -6x+2y=0 To find:- Equation of tangent and normal at point (0, 0) on given curve

Q: Find the normal line for f(x,y) = e^(10xy-15)-xy^(3)-x^(4)y+5x+10y at (1,2,f(1,2))

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Q: Find the point(s) at which the given function equals its average value on the given interval. =Vx +…

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Q: Find the average value of ƒ(x) = e2x on [0, ln 2].

A: Given ƒ(x) = e2x . We need to find the average value of a function in the interval [0,ln2].

Q: 2. Find the equation of the normal line of the curve y 2 - xe y-1 + x 3 = 7 at (2,1).

A: As per your request, we will solve Q-2.

Q: Find the normal line to f(x) = ax - 3ax at x=2. Assume that a is a positive constant. %3D

A: Given: f(x)=ax2-3ax &amp; x=2 To determine: Equation of normal line to given f(x)

Q: Find the mean and variance of the gamma distribution using integration to obtain E(X) and E(X2).…

A: Gamma function is defined as: γα=∫0∞xa-1e-xdx Divide both sides by γα…

Q: Suppose that X is a continuous unknown with -2 < S2 with PDF denoted f satisfying $ (2) = c (4 –…

A: i) we know that the total probability should be one means the area under the PDF should be one.…

Q: Estimate the average value of the function ƒ(x) = sin x on the interval [0, π].

A: we have to find the average value of the function ƒ(x) = sin x on the interval[0, π].

Q: (b) Show that Y = log () is exponentially distributed with rate parameter 0, that is, the pdf of Y…

A: Solution

Q: Let X1,, X, be a random sample from a population with pdf (0 + 1)r", if 0 <r<1 fe(x) = 0, %3D…

A: Given information: Let X1, X2, …, Xn is a random sample of size n taken from a probability…

Q: Find the average value of y = √ax over [0, a]

A: We have to find average value of function: y=ax  in the interval 0, a. We know the average value of…

Q: 22. Find the slope of the normal line to y = x + cos xy at (0, 1). (A) -1 (В) 1 (C) 0 (D) Undefined

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Q: Suppose that X follows the Weibull distribution with pdf f(r) = Br-1e on r>0, %3D where B> 0. (a) By…

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Q: 8. For the RV X with PDF f(x) = = the mean and the variance of X. 2 X if 0 < x < 1, if 1 < x≤ 2,…

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Q: sin(x/x) S(x) = [1, 2] x2

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Q: Find the slope of the normal line to the graph of g(x) = = at the point where x = 0. sin¯¹(x)+e²

A: Slope of the Normal line to the curve f(x) is -1f'(x).

Q: Find the average value of the function on the giveninterval.   h(x)   = Cos 4x Sinx  , [0 ,π]

A: Our Aim is to find the average value of the function given below:-h(x)=cos4 (x) sin (x) on the…

Q: Let X1, X2, ..., Xn be a random sample from an exponential population, find the moment estimator for…

A: The mean is calculated as follows: EX= ∫0∞xθe-θxdx      =θ∫0∞xe-θxdx      =θΓ2θ2     =1θ

Q: Find the points (x, f(x)) of the graph of f(x) = x4 − 4x3 − 2x 2 + 8x + 12 such that the normal line…

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Q: Show that for the Gamma distribution e*x dp = 14. dx, 0<x<∞, T() the mean and variance are both…

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Q: h(x) = cos*x sin x, [0, ]

A: The function is h(x) = cos4x sinx, on the interval [0, pi]. We have to find the average value of…

Q: The area under the normal standard curve to the left of z=0 is... a) 0.5 b)1 c)-0.5 d)-1

A: It is given that z is defined as standard normal variate. Thus,

Q: The Gamma pdf for continuous random variable Y takes the form 1 -ya-le-y/ß B«T(a)' y > 0 fV) = for…

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Q: 1-5* tan (4+) -1 S f (æ) ds at x = 1 Vs2+9 -4

A: Equation of normal at point x=1 is (y-y(1)) = -1/y'(1)(x-1)

Q: Find a point P(x, y) on the graph of the function f (x) = 3x² + 2x + 1, where the normal line to…

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