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Q: Let B1, ... , Bn be independent events. Show n n P(ÜB.) = 1- T1c (1— Р(B,)). i=1 1=1

A: P∪I=1nBi=1-∏i=0n1-PBi For n =1             R.H.S=1-(1-PB1)=1-1+PB1=PB1=L.H.S For n = 2         R.H.S...

Q: 1 -3 -2 Let A = -1 3 1 -4 be a transformation matrix. 3 -9 -5 ) Use Gauss-Jordan elimination to find...

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A: First we see the geometry behind this transformation. Then formulate the transformation. 

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Q: Please show all the work including the test being used.  Thank you

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A: If testing point is true then mark towards the origen if testing point is false the mark 

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Q: Find the integrating factor of the non-exact differential equation: dy= (e2x+y-1) dx

A: Given differential equation is dy=e2x+y-1dx which can also be written as e2x+y-1dx-dy=0 Comparing wi...

Q: 3. Given the data table below answer the questions that follow. Price per unit  5 10 15 20 25 30 ...

A: Since the question has multiple subparts, we will answer the first three suparts (a,b,c). If you wan...

Q: The partial sum1+5+9+ ...+ 81 equals

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Q: Please solve very soon completely

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Q: 1.

A: 1. (a) Given z1=-1+2i and z2=-2+i are 2 complex numbers. Then, z1-z2-iz1+z2+i=-1+2i--2+i-i-1+2i+-2+i...

Q: Solve the following system of linear equations by using Gaussian elimination method. x+3y+2z=2, 2x+7...

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Q: Nine runners are entered in a 100 meter dash for which a gold, silver , and bronze medal will be awa...

A: Given that the number of runners in the 100 meter dash is 9. The runner finishing in the first place...

Q: Q) S = the part of the paraboloid z = 10-x^2-y^2 above z = 1 F = [x^3, xy, z] Find the flux of F acr...

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Q: calc 3 Change from rectangular to cylindrical coordinates. Select such set of cylindrical coordinate...

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Q: Give the differential equations for the Malthus model and the Verhulst model. Give a graphical repre...

A: The differential equations for the Malthus model and the Verhulst model. Give a graphical representa...

Q: Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750mlsize is q...

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Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 8 in. s...

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Q: Find the general solution: y'- y |arctg2=1.

A: Hello, thanks for your question but according to our policy I am doing the very first question. Plea...

Q: true or false with reason a)if f is continuous in[a,b] then integrationba x *f(x)dx= x integrationba...

A: a) False Given that fx is continuous in [a,b] .Then ∫abx fxdx=x∫abf(x)dx............(1). Note that i...

Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

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Q: For the investment situation below, identify the annual interest rate, the length of the investment ...

A: Let us consider a investment situation in which the annual rate is given by R% p.a and, Time period ...

Q: Determine the values of x for which the function f(x) ={2x^2 −4x<2; x+2, 2<x>5;  7, x≥5 is ...

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Q: My little sister, Savannah, is three years old. She has a piggy bank that she wants to fill. She sta...

A: From the given information, the initial investment is A0=5.and each day she has 3 pennies. For the i...

Q: How many subintervals, n, should be taken to ensure that the absolute value of the 1 error in the ap...

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Q: The sales of a book publication are expected to grow according to the functionS = 300000(1 − e-0.06t...

A: Given that, the sales of a book publication are expected to grow according to the function, S=300,00...

Q: Consider the function f(x) = 2x³ + 24x² – 120x + 5, - 10 < r < 3. This function has an absolute mini...

A: f(x)=2x3+24x2-120x+5Differentiate w.r.to xf'(x)=6x2+48x-120f"(x)=12x+48 Now, f'(x)=0⇒6x2+48x-120=0⇒x...

Q: IV. VThe students must take part in at least one of the activities among the extra curricular activi...

A: Since there are multiple questions the 7th question is answered.Kindly repost if any particular ques...

Q: A couple seeking to buy a home decides that a monthly payment of $1600 fits their budget. The amount...

A: A couple seeking to buy a home decides that a monthly payment of $1600 fits their budget. The amount...

Q: f(x) = sqrt 9-x, [-16,9]  If the Mean Value Theorem can be applied, find all values of c.

A: Consider the given function as fx=9-x and the interval is -16,9. Using a graphing utility, sketch th...

Q: (1)Rate of Growth of a Tumor The rate of proliferation (that is, re- production) for the cells in a ...

A: (a) Given that, the function is RN=dNlnAN. Let A=1 and d=1 then the function becomes RN=Nln1N. Sketc...

Q: If f(x)= 2x² + 3x +1 and g(x)= 2.x+1, find the followings: (fxg)(-2)

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Q: 3. Let {on : n > 0} be an orthonormal set in C(-1,l), such that n is even when n is even and Pn is o...

A: C(-l, l) is an inner product space with the inner product, &lt; f(x), g(x)&gt;=∫-ll f(x)g(x) dx This...