Let g(t) be the total number of Covid-19 cases in a certain community during a recent outbreak. Some values of g(t) appear in the table below where t is the time in weeks since the first infection was reported. Find a best estimate for g'(7) by averaging the left side estimate for g'(7) and the right side estimate for g'(7). t 1 3 9. 11 13 g(t) 18 29 40 75 109 181

Q: Example: Find the first and second order derivatives of f(x) = xe* at x=2.5. Compute the percentage…

A:

Q: Find the derivative of f(x) = x = x5 e5x ƒ'(x) =

A: To find the derivative of fx=x5e5x.

Q: What is the relative error in estimating the first derivative of f(x) = 25x³ - 6x² + 7x - 88 at x=2,…

A: Solution

Q: Suppose that f(25) = 10 and ƒ'(25) = −2. Estimate each of the following. 1. f(27) = 2. f(23.5) =

A:

Q: Suppose that n = f(t) measures the number of bacteria in a controlled lab experiment t hours after…

A: According to question,  n= f(t) is the number of bacteria t hours after the experiment begins.…

Q: nd the value of f(e¹0). e¹⁰) e¹0) =_

A: We have to find the value of f(e^10)

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

A:

Q: None

A: Let's break it down step by step.(a) Create pt​=ln(Pt​)),(dt​=ln(Dt​)),(et​=ln(Et​), and plot them…

Q: use the table to estimate the 10.2 10.3 5.6 4.3 4.7 4.2 10 10.1 (x) 4.5 3.4 g'(x) 6.5 5.9 9 Sunday

A:

Q: 5.1. A study was conducted to ascertain the effectiveness of a treatment of diseased plants. A…

A: From the given information, the effects of the treatment (Y) represents the dependent variable. The…

Q: o' (kN/m²) as independent variable t (kN/m²) as dependent variable 75.0 75.7 100.0 92.6 150.0 115.2…

A: We have given that,  X:- 75, 100, 150, 200, 220, 250, 265, 270, 280,           290 Y:- 75.7, 92.6,…

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

A:

Q: midterm OThe grade of aclass af 9 student; report (x) and on the fnal examination (9) ane as Follows…

A: The linear regression technique uses a dataset to determine a linear function, such that the data…

Q: 5.4. To establish whether RATE is indeed needed to predict the effectiveness of a treatment, a…

A: Given is the summary of logistic regression to predict the effectiveness of the treatment (Y) from…

Q: y = 53452634Xexp(0.0518X(x-1975)) x= years   deep analysis why expoetinal model would be more…

A: Introduction: From the given question we are going to use the time series approach as well as…

Q: table 6 gives the regression statistics from estimating the model Δln (Salest) = b0 + b1Δln (Salest…

A: A) The series has a steady upward trend of growth, suggesting an exponential growth rate. This…

Q: 2) El-Harbawi and Babba' reported the data presented in the below table involving the toxicity of…

A:

Q: After running a multiple regression on sample of 124 students in a university, following results are…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Consider the following model: yhat = -0.7+-2.1x2 The prediction of y is yhat. What is the estimated…

A:

Q: General Electric models the time X in years that a new microwave will last using the following PDF…

A: Given that X is the time in years that a new microwave will last. And its pdf is:f(x)=…

Q: We run the following regression, log(Y) = B0 + B1X + B2T + u, and we found B^1 = -0.89. Suppose that…

A:

Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

Q: After running a multiple regression on sample of 124 students in a university, following results are…

A: Let logY=β0+β1X1+β2logX2+β3logX3+ε denote a regression model whose estimated equation is…

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

A:

Q: For the period 1970-1991 for the United States the following two rival consumption models were…

A: a) The model with the lowest AIC value being considered the ‘best’. From the provided information,…

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

A:

Q: Compute a 4-decimal place value of Log(11.7) from Log(11)=1.041, Log(12)=1.079 using linear Lagrange…

A: Please see the attachment  Log (11.7) = 1.0682 (actual value)  And approximate value = 1.0676  %…

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.