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Q: 1. Find a homogeneous linear differential equation with constant coefficients whose general solution...

A: y=c1cosx+c2sinx+c3cos2x+c4sin2x For c1 and c2 α=0, β=1 α±βi0±1i0±i m-im+i=0m2+i2=0m2-1=0

Q: The vertices of ABC are located at (0,3),(1,1),(-2,1). Use transformation to prove or disprove whet...

A: Traingle ABC and traingle PQR are similar. Because

Q: Use the following potential harvest years of timber (in cubic ft) from a forest, assume that the pri...

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Q: One ball is drawn from a bag containing 6 red balls numbered 1–6 and 8 white balls numbered 7–14. Fi...

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Q: 1 2 find determinant A, det (A) and A- 1 -1 Given matrix A=

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Q: Uxxtuyy-Uzz+6ux-0 is parabolic O hyperbolic O elliptic O

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Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: parametric equations

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Let p + 7 be an odd prime. Determine the value of the Legendre symbol (7/p).

A: Let p be an odd prime number. An integer a is a quadratic residue modulo p if it is congruent to a p...

Q: Graph ColoringNote that χ(G) denotes the chromatic number of graph G, Kndenotes a complete graph on ...

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want an...

Q: Write the differential equation (unlimited, limited, or logistic) that applies to the situation desc...

A: Given that, the initial cases are N0=14. "It is known that, the formula for the exponential growth i...

Q: Determine if the side lengths could form a triangle. Use an inequality to prove your answer. Fill ou...

A: Result: The the sum of length of two sides of a triangle  is greater than length of the other side o...

Q: Sweet Time Bakery just opened and is increasing the number of items they bake. For example, the bake...

A: Month Number of carrot cakes April 42 May 49 June 56 July 63 August 70 September x   ...

Q: (cos 2a) y/" – y = 0; y (0) = 1, y (0) = 1

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Q: Advanced Math Question

A: The contents of each brand of food can be given in table as follows: Brand           Fiber          ...

Q: A car rental agency has a budget of $1.68 million to purchase at most 100 new cars. The agency will ...

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Q: Given below is the principal owed on a student loan last month, the annual interest rete, and the wa...

A: Given information Principal P=$28,700 Annual interest rate r=12% ⇒r=12100=0.12 And month for calcula...

Q: Advanced Math Question

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Q: Find the future value of an ordinary annuity of $4,000 paid quarterly for 4 years, if the interest r...

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Q: Solve with graphical methoda) Min F=x^2 + y^2   S.t     x+y≤10            x+y≥5            2x+y≤15 ...

A: NOTE: According to guideline answer of first question can be given, for other please ask in a differ...

Q: hi, could you please help me answer this questions? thank you

A: V = Volume of cylinder (cm3)V = πr2h                          (1)A = area of the cylinder base (cm2)...

Q: For a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each 1515 of a mile driven...

A: 1. Given that, the initial fare is $3 and additional fare for each mile is $0.40. Let c represents t...

Q: 4. Find the parameters and equation of the least squares regression line using the points (1,0), (3,...

A: Given that x1,y1, x2,y2, . . . ,xn,ynare the n data points on the xy- plane. Then to find the best l...

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...

A: The vector field is F→=x3, xy, z. Given: S = the part of the paraboloid z=10-x2-y2 above z=1. The fl...

Q: y = sa solution of the differential equation y" + (-4x +1)y – 2y = 0, hen its coefficients c, are re...

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Q: The sales tax for an item was $19.20 and it cost $480 before tax. Find the sales tax rate. Write you...

A: Given that the sales tax for an item was $19.20 and before tax the cost of the item is $480. The obj...

Q: Determine the directional derivative of the function f (x, y, z) = x2 + xy + y + z2 in point P = (1;...

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Q: 9(x) = J(z) = と (-1)" (n!)2 X 2n n=0

A: We take first and second derivative of given then adjust the summation. 

Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is no...

A: First we find direction vectors of the plane of solutions.

Q: Given below are the objective function, the constraints and the final simplex tableau for a linear p...

A: The objective here is to solve the given linear programming problem: maximize Z=2x1+5x2+8x3subject t...

Q: For the following system of homogeneous linear equations, find the solution if it is unique; otherwi...

A: Given system of equations are 4x-2y+6z=05x-y-z=02x-y+3z=0 Given system can be written in the form of...

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: You buy one IBM July 90 call contract for a premium of $4 each share and one put contract for a prem...

A: From given data, Call contract Premium of each share= $4 Put contract premium of each share= $2 Stoc...

Q: Movie Theater Screens Suppose that a movie theater has a screen that is 28 feet tall. When you sit d...

A: The viewing angle is θx=tan-134x-tan-16x where x is the distance between the person and the screen. ...

Q: A pharmaceutical company has developed a test for a rare disease that is present in 0.5% of the popu...

A: Let A be the event that the rare disease present and let B be the event that the test is positive, t...

Q: Problem. 1: Find a parametric representation for the plane through the point (-6, 0, –6) that contai...

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Q: Determine a real root of f(x) = x* – 2x – 4x? +4x+4 using the Newton-Raphson method. Use an initial ...

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Q: Mathematical ReasoningWriting and Proof: True or False?

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Q: 11.In a group of 20 students, 8 students are girls. In how many ways can 12 students be selected so ...

A: total number of students = 20 number of girls = 8 therefore, the number of boys is 20-8=12 number of...

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.