b) For n=5, calculate by applying Simpson's 1/3 and 3/8 rule together. Analytical Also get the actual error using the solution.

Q: If H1: μ1 – μ0 > 0, then zobs = -1 has a lower p-value than zobs =1. True or false? The correct…

A: The null and alternative hypothesis is,

Q: 8. Solve for the percentage of error given that the population is 21000 and the sample size is 500.…

A: Slovin's formula for defining sample size is: n=N1+Ne2Where, n= sample sizeN=population…

Q: A culture of bacteria has an initial population of 920 bacteria and doubles every 7 hours. Using the…

A: We will use the given formula that determines the population after t hours to find the population…

Q: Find the root of ƒ(x)= 2s + x3 − x = 0 by using Newton Raphson method with initial value p0= -1,5…

A: By using Newton Raphson method we find the root of the given polynomial. Here we use…

Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: If Z~N(0,1), calculate Pr(2.26 < Z < 2.89). You can use Excel. Round your answer to three decimal…

A: Solution: Let Z be the standard normal distribution.

Q: A culture of bacteria has an initial population of 790 bacteria and doubles every 4 hours. Using the…

A:

Q: I have found the values for k, but the task also wants an expression for the unique solution, how am…

A: First of all, I believe, as per the (partly) solution you have written, that the question asks us to…

Q: A culture of bacteria has an initial population of 3300o bacteria and doubles every 10 hours. Using…

A:

Q: A culture of bacteria has an initial population of 330 bacteria and doubles every 8 hours. Using the…

A: Given equation is as below: Pt = P0.2tdhere P0=330t=17d=8

Q: How does h(n) = n2 / 2n behave for large whole-number values of n? Does h(n) tend to infinity?

A: Consider the function:      hn=n22n Determine end behavior for the large whole number value of n.

Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

A:

Q: The next iterative value of the root of x² – 4= 0 using the Newton-Raphson method, if the initial…

A: Newton-Raphson method: It is one of the most widely used numerical methods for the approximate…

Q: 2) The formula for error associated with Simpson's Rule is Es| < K-a)". Explain briefly why the…

A: see below the explanation

Q: For someone who wants to see the higher temperature will lead to a higher hardness index, why it is…

A: Regression: By regression we mean estimation or prediction of the average value of one variable for…

Q: 1. The initial guesses of the roots are x-1 = 2.5 and x, = 3.5 , what is the next iterative value of…

A: According to our company guidelines, we can solve the first question only and the rest can be…

Q: A regular eustomer visits a restaurant thrice a week. For a monthly visit, he wants to try something…

A:

Q: Use the master method to solve T(n) = 4T(n/2) + n/(lgn)

A: Compare the given recurrence relation T(n)= 4T(n/2) + n/ (log n) with the general form: So, a = 4,…

Q: A culture of bacteria has an initial population of 8600 bacteria and doubles every 5 hours. Using…

A: P(t)=P0(2)t/d

Q: 4. Using Muller's Method, solve a root of the equation, F(x) = 0.0074x* – 0.284x3 +3.355x² – 12.183x…

A:

Q: How do I calculate this using Excel?  If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)?

A: Solution: From the given information, Z follows N(0,1).

Q: Consider the expression. 7.20 x 10-5 = x(0.100 + æ)? You can solve for æ using a technique called…

A: We need to use iterative method to solve the given equation.

Q: A culture of bacteria has an initial population of 620 bacteria and doubles every 2 hours. Using the…

A: Initial population of bacteria was 620. It doubles every 2 hours. We have to calculate the…

Q: A culture of bacteria has an initial population of 92000 bacteria and doubles every 7 hours. Using…

A:

Q: The next iterative value of the root of (x^2)-4 using the Newton-Raphson method, if the initial…

A:

Q: If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)? You can use Excel. Enter your answer as a decimal…

A: We have to find given probability

Q: How can I solver for V in the following equation? 1 0.15 5.1286 -2log 150000V 0.89 1.13 3.7 * 0.15…

A:

Q: The rate of fingernail growth depends on many factors, but in adults nails grow at an average rate…

A: The solution is given below.

Q: (c) Solve with the classical third-order Runge-Kutta method using h = 1.

A:

Q: what happened to the (7(s+1)e^-s)/s^2? why is the answer just (7e^-s)/s

A:

Q: A culture of bacteria has an initial population of 220 bacteria and doubles every 8. hours. Using…

A: Formula: Pt=P0 2td P0 initial population d is doubling time Given: Doubling time =8hours initial…

Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1…

A:

Q: Solve X(n) of the given X(2) using the 3 methods X(2) = Ito. 32 + 0.52 :- It 0-8 2+ 0.152

A: In this method we obtain inverse z-transform  by summing residues of [x(z)zn-1] at all poles. Here…

Q: considering that prolonged exposure to sounds above 85 decibles can cause hearing damage or loss,…

A:

Q: A culture of bacteria has an initial population of 860 bacteria and doubles every 9 hours. Using the…

A:

Q: C. By choosing a1=0.25, the formula of second order Runge-Kutta method can be written as:

A: The Runge Kutta method is used to solve the ordinary differential equations. The second-order method…

Q: Solve for the unknown values using Iterative Methods -5][X1 -7||X2= X3 -3 5 4 6 -8 -2 9 -10

A: The gauss Seidel iterative method can be used to obtain the solution to the linear system. The…

Q: 2. Solve by Newton Raphson method. (5 iterations) x + In x = 2, Xo = 2 %3D

A: As you post multiple questions According to guidelines I only solve the first problem, please post…

Q: 6. Approximate the solution to the following set of equations using iterative procedure and using…

A:

Q: 3. A ceramic insulator is baked at 400o C and cooled in a room in which the temperature is 25º C.…

A: Follow the procedure given below.

Q: A culture of bacteria has an initial population of 92000 bacteria and doubles every 7 hours. Using…

A: According to question given that Pt=P0 2tA culture of bacteria has initial population =92000Double…

Q: An expanding rectangle has a fixed width of 5 inches and an initial length of 0 inches. The length…

A: NOTE: Refresh your page if you can't see any equations. . width is w=5 inches the length is growing…

Q: 1. Mr. Tejas has a total investment of Rs 10,000 in 3 bank accounts, one paying 5% interest. another…

A:

Q: A culture of bacteria has an initial population of 37000 bacteria and doubles every 2 hours. Using…

A: Given,P0 = Initial population = 37000 bacteriad= doubling time = 2 hourst = time in hours = 7…

Q: How does h(n) = n2 /2n behave for large whole-number values of n? Does h(n) tend to infinity?

A:

Q: A chemist has three solutions that contain a 10%,30%, and 50%, respectively, of a certain acid. He…

A: Let the solution having 10% acid is taken x liters , solution having 30% acid is taken y liters and…

Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Q: C(n)=24n+288 1-what’s the cost to manufacture one additional unit? 2-if Tomorrow it costs $10 more…

A:

Q: 1. Using Gauss-Seidel and Jacobi Method, find the values of x1, x2 and x3 with ek < 0.001. 2x — 6х,…

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.