Question Let X be a discrete random variable with the cumulative distribution function: 0 0.3 O C45 O 04 0.5 F(x)= if If f(5)=P(X= 5) = 0.3, then P(3 < X < 5) = 00 0.5 a +0.35 a 405 1 if XXI if 15x42 if 2

Q: The function 2 . If the function f(x) is a quadratic function, then f(x) must open and have ii…

A: The graph of the function: y=1f(x) is provided. We need to describe of the behavior of the function:…

Q: 8. In the diagram below, the floating ball has a specific gravity of 0.6 and has a radius of 5.5cm.…

A: A floating ball has a specific gravity 0.6 and has radius of 5.5cm. The equation that gives the…

Q: Find the solution of the given initial value problem: y (4) + 2y" + y = 5t + 2; y(0) = y'(0) = 0,…

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Q: Consider the vector field F(x, y) = (x², −y). If (x, y) is in the first quadrant then the vector…

A: Part 1. (x, y) is in the first quadrant.  =&gt; x &gt; 0 and y &gt; 0 =&gt; x2 &gt; 0 and - y &lt; 0…

Q: Answer all question 1- Find the vector equation if the F(t)= cos(41) +3 sin(4)j +1'k at t= (+)²

A: Given vector is rt=cos4ti+3sin4tj+t3k At t=π rt=cos4πi+3sin4πj+π3krt=i+0j+π3k

Q: Use the differential to find a decimal approximation of the radical expression. Round your final…

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Given differential equation is y4+2y''+y=5 sint   To Use: Method of Variation of Parameters to…

Q: 2. Determine H(s) the Inverse Laplace Transform of 13s² + 46s + 133 (s + 1)² (s² + 6s + 25)

A: Inverse Laplace transferom of the rational function.

Q: 2 A. B. C. D. Which of the following can be obtained after substitution of your answer in (1)? X-7 Y…

A: Partial derivative of a function is evaluated by taking the derivative of the function with respect…

Q: 120 5+ sin 0 (a) Find the constants a,b,c for the conic r=- Sketch the conic.

A: 5(a) r=1205+sinθ               ...i find the constants a,b,c. sketch the conic solution let x= rcosθ…

Q: = evaluate -0.5 sin xy 1+xy 0.5 0.5 dx dy, using the Ax = 4y = 0.25

A: As per the question we are given a double integral and we have to evaluate it numerically with step…

Q: Complex Numbers. 1. Evaluate the following. Express all final answers in rectangular form. a. A =…

A: Solution 1(a): Given A=cosln(-π)3⇒A=cosln((π)(-1))3⇒A=cosln(π)+ln(-1)3⇒A=cosln(π)+πj3…

Q: Determine whether the vector field is conservative. F(x, y) = (8y − x2)i + (8x + y)j   If it is,…

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Q: 45. Find the components for each vector by resolving the vector into its horizontal and vertical…

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Q: Show that the following differential equation is perfect or not, then find its general solution:…

A: Introduction: Any equation with one or more terms is a differential equation. It includes taking the…

Q: 27. Test the 12.11 ii) Σ (5n' – 3η) ni(n=2}{n} + 51

A: We solve this by comparison test. Please look into next step

Q: Problem 7 Consider the power series En-1 (5n+1) (1-2) Center of convergence a = Radius of…

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Q: Compute the quantity, (wow) W= w.w w, using w= (Type integers or simplified fractions.) 5 -2 -6

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Q: Answer

A: As per request I will solve only (b)

Q: Given the above linear programming model. Find the optimal so method.

A: Given,          Min z=5x1+3x2-2x3Subject to constraint           x1+x2+x3≥4      2x1+3x2-x3≥9…

Q: Qo Let O: G-> H be a (a)- homomorphism of an groumenta finite " order prove element that log)…

A: It is given that,  θ : G→H be a homomorphism. Then, we have to answer the following questions : a)…

Q: Jse Green's theorem to evaluate the ne integral (2tan x _cos 2y³) dx + (7⁰s y + 2x (πº where is the…

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Q: Let x₁ (n) = 3"u(n − 2). What z-transform property is applicable? A. Linearity B. Time shifting C.…

A: Properties which are applicable

Q: Solve the following Higher order Differential Equation y(4)- y"+2y-0

A: The general solution of a higher order differential equation is given by;…

Q: Determine wo, R, and 8 so as to write the given expression in the form u = R cos(wot - 8). u u =−5…

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Q: 2. Find the values of k for which the matrix B is invertible. -2 B= 0 k 1 3 2 1 4 -1

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Q: Question * A random variable X has the probability density function 1 2* The constant k is equal to:…

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Q: Venn diagrams and Cardinality In a survey of students, it was found that 64 students liked Algebra;…

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Q: 1 the 8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest…

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Q: Use triple integrals to find the volume of the solid bounded above by  the cylinder z = 4 - 3y2 and…

A: Given equations are z=4-3y2z=4x2+y2 The two curves intersect when 4-3y2=4x2+y24x2+4y2=4x2+y2=1

Q: Find the mass, in kilograms, of the portion of the cone x² + y² = z² between the planes z 3 if the…

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Q: please

A: We find required transition matrix.

Q: Find the general solution of the differential equation y" + 2y + 5y = 3 sin(2t).

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Q: Calculate the lim sup and lin inf of the following: √1+n² 2n-5 1. Xn 2. Xn where yn is bounded 3.…

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Q: Select the following statements that are true. There are 11 prime numbers less than 30. The prime…

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Q: Which of the following functions is a potential function for the conservative vector field F(x, y,…

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Q: Let S be the hyperboloid of Cartesian equation x² + y² - 2² = 1 and p = (1,0,0). a) Find two…

A: Note the following facts : (i) Every intersection with a plane of symmetry is a Geodesic . (ii)…

Q: Encrypt the message ATTACK using c = (p+12) mod 26 O a. MGGMOX O b. LFFLOW O C. LFFLOX O d. MFFMOW

A: Each letter in the alphabet corresponds to a number between 0 to 26. Letter A B C D E F G H I J K…

Q: The Green's Theorem allows us to replace any line integral over simple, smooth, closed curve in…

A: Yes, Green' Theorem allows us to replace any line integral over simple smooth closed curve in 3D…

Q: Part 3. Use separation of variables to obtain a product solution to the following: d²ud²u + ax² ay²…

A: The given partial differential equation is: ∂2u∂x2+∂2u∂y2=0

Q: A study has been proposed to investigate the relationship between the birthweight of male babies and…

A: We can write the information in the table given below: Birthweight is denoted by X Adult height is…

Q: 1. Determine the Laplace Transform of the following functions: f(t) = 5tet + 2e-³t cos(4t) a.

A: due to bartleby policy can answer only one question

Q: Correct. (c) Determine which of the following pairs forms a fundamental set of solutions: [yi(t),…

A: Fundamental set of solutions

Q: Determine the x-coordinate of the centroid of the shaded area by integration. 3 1 25 37 Answer: Xi…

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Q: Let M=( 3 Find formulas for the entries of M", where n is a positive integer. Mn = =

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Q: I am not sure if it's Two critical points or three

A: To determine all critical points of the system of equations dxdt=8+xy-x,      dydt=2-xy+x   Also to…

Q: 1) Find All solutions For y = 3.0 to the Transcendental equation: sinx-ln z = X - Y + gamma x This…

A: note : we will refer the term "gamma" at the end of the  equation as the symbolical constant : γ =…

Q: Given a first 5 terms of a 3 degree-number no bet6301 915 3 Determine the sum of the first 50 terms.…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: If F is a vector field and there exist a closed curve C such that SF. dr = 0 then Fis conservative.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 3. Prove that, Σk() = n2n-¹. k=1

A: