What is the probability that a child will develop the disease?

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A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: Consider the topology 7 = {GCR:0 € Gor G=0} or T= on R. Is [0, 1) compact in (R, 7)? Explain why.

A: To determine whether the interval [0,1) is compact in the given topology τ on  we need to consider…

Q: |||| = u = = Find the norm of x and the unit vector u in the direction of x if 1 -A 4 = -5 18 ||

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Q: Σ(0) - (0) (1) Perhaps it seems mysterious? But if you try a few small values of n, you may begin to…

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Q: Verify all vector space axioms under the given operations (x,y,z)+(x',y'z') = (x+x'+1,y+y'+2,z+z'+3)…

A: The objective of the question is to verify if the given operations satisfy all the axioms of a…

Q: When dividing the polynomial x³ + bx² + 2x +9 by x + 1, the remainder is 10.

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Q: Suppose T: R³ → R4 is a linear transformation with T(e₁) = T(es) = = A = 2 -14 H 5 8 NOTE: e; refers…

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Q: Suppose that a shipment contains 50 semiconductors of which 4 are defective. In how many ways can we…

A: To select a set of 4 semiconductors containing exactly one defective semiconductor from a shipment…

Q: Let A = {1, 3, 5, 6, 7, 9, 10, 12} and B = {1, 2, 3, 5, 7, 8, 9, 11, 12}. Consider the following…

A: Given a function f: A -> B , we have to determine whether it is injection, surjection,…

Q: 3. Display an argument to show that the Gamma Function is defined for s> 0. = 6²°0 e-p₁-1α dt T(s) =…

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Q: 4. The Fibonacci numbers are defined as: f0 = 0 , f1 = 1 , and fn = fn−1 + fn−2 , for n ≥ 2…

A: To prove that  for all n≥0 using mathematical induction, we'll follow the standard steps of…

Q: Suppose that Tesla has dealerships in Fresno and Walnut Creek and manufacturing facilities inMenlo…

A: Given Information:Tesla has dealerships in Fresno and Walnut Creek.Manufacturing facilities are in…

Q: Find the eigenvalues and eigenfunctions for the following boundary value problem (with A > 0). y" +…

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Q: 3. For m₁ and m₂ numbers, with m₁ { Prove that the function f:R → R is continuous but not…

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Q: Let f(x) = |x|+|x−2], x € R. Find points where f is not differentiable.

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Q: Use the limit comparison test to determine whether (a) Choose a series bn with terms of the form bn…

A: Given sqence is Here

Q: Q4. Solve the following linear programming problem using graphical method. Comment on the nature of…

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Q: Find f(t). f(t) = 3s ~{28=13} s²(s + 1)³

A: We have to find .

Q: Find the slope of the curve y = (x² - 6x-16) at the point (-2,0). The slope of the curve at (-2,0)…

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Q: 4. Consider the following identity: 2 Σ(3) - (30) (2n). (1) Perhaps it seems mysterious? But if you…

A: We use basic counting techniques to solve this problem.

Q: a) Find the least squares solution to x + y = 3 = 3 y = 3 X x = 2 2 b) W is the subspace of R³ with…

A: The objective of the question is two-fold. First, we need to find the least squares solution to the…

Q: Prove or disprove that [x/2] = [(x+1)/2] for all real numbers x . Prove or disprove that [x/2] =…

A: We disprove by giving a counter example

Q: Determine if v = ? Add Work Check Answer 8- 1 is an eigenvector of the matrix A = [3 0 0 -2 -4 -3 6…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: A table of values of an increasing function f is shown. X f(x) 10 lower estimate upper estimate 14…

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Q: lowing values. ㅏ t) = 2t e 20et 35et x(0) = + 18- -t e [] eAt 3 4e2t-e-t 4e2t - 4e-t - e

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Q: Problem: Use either Stokes' theorem or the divergence theorem to evaluate the following integral in…

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Q: Problem: Consider a particle of mass m moving along the x axis under the action of a force, F(x),…

A: Given force function: (a) To find v(x), the velocity as a function of position, we use Newton's…

Q: Let a = ( 1 2 3 4 5 6 :) 2 1 4 5 6 3 and 3 = 1 2 3 4 5 6 2 4 1 3 65 (a) Find a B(2). Find 6-¹(2). ο…

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Q: ~M³(N-O) 1. 2. NOP 3. 0~p ✓ Conclusion /M premises prove using the rules of implication

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). Y D Q D 8 X 10

A: Using the given graph of the function  evaluate .

Q: (a) 1·1! +2·2! + . . . + n •n! = (n + 1)! − 1 - (b) if n > 6, then 3″ <n!

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Q: For each of the following relations on the set of all real numbers, solve all of the subparts on a…

A: Note: “Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: A coin is weighted so that the probability of obtaining a head in a single toss is 0.25. If the coin…

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Q: 12. Consider the vectors x(¹) (t) = and x(2) (t) - (2) a. compute the Wronskian of x(¹) and x(2). b.…

A: Note that : Since you have posted a question with multiple sub parts, we will provide the solution…

Q: Find the value of the triple integral for the function h(x, y, z) = x² + y² + z² over the region R…

A: The region is defined by

Q: A check-processing center uses exponential smooth- ing to forecast the number of incoming checks…

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Q: Graph both lines and plot the point of intersection of the system. {−x+y=1 2x+y=10

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Q: Find the flux of F(x, y, z) = yi - xj + 2k across S, where S is the helicoid with vector equation…

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Q: the Euler-Lagrange equation for the fur y² + 1 -dx. y/2

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Q: Problem #10: Find the flux of F(x, y, z) = yi — xj + 7k across S, where S is the helicoid with…

A: The objective of this problem is to find the flux of the given vector field F across the surface S.…

Q: Determine the geometric multiplicity and the algebraic multiplicity of the eigenvalues of the matrix…

A: Given            The characteristic equation of A is…

Q: SOLVE STEP BY STEP DONT USE CHAT GPT 3. In the following problems use the appropriate algebra and…

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Q: Gloria operates three self-service gasoline stations in different parts of town. On a certain day,…

A: (b)Quantity matrix in liters:A matrix of size is a matrix with three rows and four…