Find all the prime divisors of (15! × 67!)+78!

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A: Given Let G be an undirected graph with n vertices and m edges .

Q: Write in logarithmic form 9 = 729 The logarithmic form is X = logply) x =

A: Given:  93=729 The logarithmic form is  x=logby  

Q: Consider the image attached of the functions f(x) = 12*cos(2x+1)-6 and g(x) = -1. Set f(x) = g(x) an...

A: Given that, the functions are fx=12cos2x+1-6 and gx=-1. Equate the functions to find the solution x ...

Q: 2. A manufacturing facility consists of five departments: A, B, C, D, and E. At the current time, th...

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Q: Answer the questions using ONLY exact values, NO decimals.

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Q: 3. Decide whether the functions, tables, and graphs are linear or exponential. Linear Exponential S(...

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Q: Test the series are absolutely convergent, conditional convergent or divergent.

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Q: Suppose a car’s value depreciates according to the model V(t)=24(4/5)t Find the exact value of r suc...

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Q: Evaluate the 2 × 2 determinant.

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Q: Given: (x is number of items) Demand function: d(x) = 500 – 0.2x Supply function: s(x) = 0.6x Find t...

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Question 1 options: A sports team has 5 distinct positions. Out of 16 ​players, how many starting ...

A: Formula used: The formula for the selection is permutation Prn=n!n-r!. The formula for the selection...

Q: Let a = (– 3, 3, 0) and b = ( – 1, – 5, – 4). Find the projection of onto á. Write an exact answer, ...

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Q: Graph 2 full cycles of the function given below using mapping notation. Label x scale in exact value...

A: Given function is: fx=3cos34x-π4-2 To graph this function, first determine the values cos34x-π4of  f...

Q: Find the inverse LaPlace Transform for the following expressions 5s/(s-2)^2

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Q: below math question part C

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Q: The vector field F(r, y) = (2xy +y) dx + (æ + 2xy) dy is conservative. %3D The function f(x, y) = x²...

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Q: Please explain why the unity is 4?

A: We have used the fact that the binary  operation defined on the given set is multiplication modulo 6

Q: A class of models for population growth rates in marine fisheries assumes that the harvest from fish...

A: (a) The population growth model is G=0.3n-0.2n2 where G is the growth rate of population (in million...

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability...

Q: Solve 3x-1= 2x. Write your answer using only natural logarithms.

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Q: PROBLEM 6 A lake initially contains 1000 fish. Suppose that in the absence of predators or other cau...

A: Let a0 be the number of fish in the lake initially. The lake initially contains 1000 fish. Hence, a0...

Q: Find the general solution of the differential equation in the question

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Q: Problem 8: Find the general solution to the differential equation x²y" – 3xy' + 3y = x", x > 0, wher...

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Q: Let F(x, y, z) = <x + y, y − z, z^2>. Let C be the curve in R^3 given by r(t) = <t^2 , t^3 ...

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Q: Find the general solution to the differential equation ty" + 2y' + ty = 1, t>0 %3|

A: Consider the equation 

Q: 24. Find /y.All dimensions are in inches.   multiple choice answer are        76 deg 8 min ...

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Q: Help please (:

A: Solution : Given :   The graph of function   y = f(x)  is continuous on the interval [ g , c ]

Q: Solve. X-11 > 3 X-18 The solution set is (Type your answer in interval notatic

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Q: 23)[ordinary differential equations; topic] Please solve the following problem Provide a well expl...

A: Given the differential equation, y'-2x2y=0    ⋯⋯(1) With the initial condition y(0)=5 Let y(x)=∑n=0∞...

Q: Real Analysis  Just need to answer true or false.

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

Q: find the general differantial solution

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Q: Saving Costs. A phone line runs east along a field for 1.5 miles and then north along the edge of th...

A: Given: A phone line runs on East for 1.5 miles and then to North for 2.75 miles. Cost for the phone ...

Q: below math question

A: Use the divergence theorem to evaluate the surface integral. div F=∂F∂x+∂F∂y+∂F∂z=2x+y+z Therefore, ...

Q: A plane leaves Atlanta's Hartsfield Airport and flies north for 1 hr and west for 2 hr at an average...

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Q: Please answer problem d

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Q: A chemical degrades over time, and the amount of chemical present in a sample is an exponential func...

A: c) Given, N=5 gt=8 yearst12=6 years  

Q: Find a vector, in component form, that is orthogonal to the plane containing the points P = (5, 2, 4...

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Q: In the exercise, a mixed row strategy is given. Use 1 -2 1 5 0 1 0 1 -1 -4 and find the optimal pure...

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Q: Mountain officials want to know the length of a new ski lift from A to C, as shown in the figure bel...

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Q: Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)

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Q: Find the interval of convergence of the power series (-1)"-lx" n8 n=1 The series is convergent from ...

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