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Q: 个 The Of X Schedu X MOM X M MyOpe X AC Usi X →>…

A: f′x=3x2+12x−15f"x=6x+12Explanation:Following rules of derivative f′x=nxn−1 Step 1:f' (…

Q: Suppose that f(t) is an unknown continuous function defined for t > 0 satisfying the following…

A: Given: ft is continuous function defined on t≥0 and function satisfies the following condition: (1)…

Q: Let /:R'R. S(x. y.2) = (e' tan y,x' In y). Compute D(f).

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Q: Given that the function f is integrable, which of the following is equivalent to: x" f'(x) dr 12 a)…

A: we have to integrate by parts

Q: Ir f(t) = {* S VE – 1, t>1\ t >11 , then L{f(t)} = 0, t <1 [ O a) VTe-s s1/2 Ob) Vre s3/2 c) Vne-s…

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Q: Suppase thut and such that (x?fH f'x) + 3x F(x) on and It exe If t i frowa Oh frow a

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Q: Can the Fundamental Theorem of Calculus be used to find /. Sin dx? -x sin x O Yes, f(x) = 1 is…

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Q: Homework 1- The joint probability density function of random variables (X,Y) is given by: fxy(x,y) =…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: Сompute L f dx, where f(x)=|x|.

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Q: Example 15: Let X and Y be continuous random variables with a joint density function f (x, y) = e, 0…

A: Answer: From the given data

Q: The Bivariate Cauchy Probability Density Function f is defined over the whole plane D = R² by 1 f(x,…

A: (1.1). To verify that f is a probability density function, calculate the given expression: The…

Q: af Let the functions and be continuous in some rectangle a << By <y<&containing the point (fo. Yo).…

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Q: A random variable X has the density function fx (x) for x 2 0 for x <0 Find E le2x/31

A: The random variable X has the density function, fx(x) = fx(x) = e-x, for x ≥00, x &lt; 0

Q: The joint density function of continuous random variables X and Y is given by: cxy, 0 1). { 0 (a)…

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Q: 4- Find the numeric value for the following definite integral analytically by using properties of…

A: Given - ∫e-5x2 + 4xdx for -∞ &lt; x ≤ 0 To find - The numeric value for the following definite…

Q: Question 1 given by Suppose that X and Y have joint density function fx,y ce-2(x+y) if r>0 and y>0…

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Q: .Show that Var(X)=E(X2)-µ2

A: Note: Thank you for the question. Since multiple questions are posted, according to our policy, we…

Q: 8 5 Consider two functions f and g on [3,8] such that f(x)dx= 10, [g(x)dx = 5, [f(x)dx=4, and…

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Q: dx Evaluate the improper integral if it exists .1 The improper integral diverges .2 6 .3 3 - .4 8 2.

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Q: Question 2. In this problem we give another characterization for the average function value…

A: Given a&lt;b is a constants and f is an integrable function. F:ℝ→ℝ, defined by F(x)=∫abf(t)-x2dt…

Q: 1) ? =?−?/z+? How does the (? ∈ ∁) function take the shaded region given in Figure 1?  show that it…

A: Given that w=z-iz+iwz+wi=z-iz-wz=wi+iz1-w=i1+wz=i1+w1-w and,…

Q: A continuous random variable X that can assume values between x = 1 and x = 4 has a density function…

A: X~U(1,4)  We want to find the probability.

Q: Let the joint density function for Y1 and Y2 be f(y1 , Y2)= (0.5)y2, when 0<y, <1 and 0<y2 <2 0 ,…

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Q: Duse ROmberg integration to coMpute Ic3,1) for the following integral lo5 v? In X dx 1 X uL xX

A: The objective here is to find

Q: Find the dy/dx if y = ett O e** (1 + Inx) Ox*(1 + Inx) et*x*(1 + Inx) O e*(1 + Inx) Find the dy/dx…

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Q: Question 1 Consider the transformation Y= 1/X, and the density function f(x) = 3x2 for 0<x<1 and is…

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Q: The area bounded by the curve y = In(z) and the lines z = 1 and =2 above the z -azis is %3D square…

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Q: (2) ¿lihäi Q5) Given the following joint density function, find * (P(2<Y<2.9|X=1.2 (6 — х — у 0 < x…

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Q: nvobability density fonction (pdf) How did he get the value inside the circle? unda probability d-f…

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Q: function fx,y given by Suppose that X and Y have a joint probability density ce-2(x+y) fxy(x, y) =…

A: f(x,y)=ce-2(x+y) x&gt;0, y&gt;0  Find c

Q: Example: Given the joint probability density function f(x,y) = 3x. 0<x<y<1 Find the marginal…

A: As per our guidelines we are supposed to answer only 3 subpart of any questions so i am solving…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.