Rank these functions according to their growth, from slowest growing to fastest growing: • nlogn • n^3 + n^2 + 5n · 2^10 • 10n Slogn + 1000 • n^2logn + 10logn • 10^n n^10

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Explain briefly low order polynomial, logarithmic and exponential functions.

A: Low order polynomial: We want to find methods that retain the advantages of the higher-order…

Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: For the part circled in purple, is the +1/5y ^-4/5 supposed to be plus? I thought it was supposed to…

A: Given Equation             x15-y15=1Now differentiate with respect to x we get that As we know that…

Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

A:

Q: best

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Q: Express in terms of sums and differences of logarithms. m²p3 logb 2log+m+3logóp - 5logon - 9 2loghm…

A: Let, y= logbm2p3n5b9 Using logarithmic property  logbxz=logbx-logbz .........(i) logbac=logba+logbc…

Q: 50/20=t/4

A:

Q: Why is the data lognorma

A: Given is a frequency distribution for the size of dust particles.

Q: (81)^3/

A: given that  (81)^3/4

Q: Assume that a population of E. coli bacteria doubles every 20 minutes. Construct a table that shows…

A: Given that, The population of E. coli bacteria doubles every 20 minutes. Initially Population start…

Q: At the end of each month starting january 2022, you deposit R dollars into an account that earns…

A: At the end of each month starting january 2022, you deposit R dollars into an account that earns…

Q: The population of beetles is growing at a rate of 5% each month.  The current population is 800.…

A: Given that the population of beetles is growing at a rate of 5% each month and the current…

Q: A towns population, each year, can be modeled by the function P=12000(1.025)^t how fast, as a…

A:

Q: n = 0.03t^2 − 0.61t + 4.21,

A: n=0.03t2-0.61t+4.21 The number people start moving since 1990 that is, the value of t is 0. (A)…

Q: A typical pH value for rain or snow in the northeastern United States is about 4.2. Is this basic or…

A: Given that the pH of snow or rain is 4.0

Q: Why not 1/7^x?

A: We have to find a function f(x) which passes through point (-3,343) and (0,1).

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.