4. Write down the formula of the following rules for n = 12. %3D (a) Trapezoidal Rule (b) Simpson's 1/3 Rule (c) Simpson's 3/8 Rule (d) Weddle's Rule

Q: Find the value a such that P( 0 < Z < a ) = 0.2224. Enter your answer two decimal place

A: Given: Here, value of a is required to be calculated.

Q: 2.5 We want to use left-hand, right-hand, and midpoint approximations with n = 4 subintervals of…

A: Given ∫-0.52.5e1.25xdx n=4, Here a =-0.5 and b=2.5 and f(x)=e1.25x

Q: 2.2 The value of xe*dx by using the two-point Gauss quadrature is most nearly 0.2 (A) 11.672 (B…

A:

Q: Determine the value of z* that satisfies the conditions below. (Round your answers to two decimal…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 24. Find the value of 'x' in the picture. (4x-20) B Aart 19 C

A: NOTE: As per our guidelines, I am allowed to solve only one problem out of the two.  Since question…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

A:

Q: . Given that v = 1/2 (7²+h) V and the error in V is at the most 0.4%, find the error allowable in r…

A: Given that, V=12r2h+h. The error in V is at most 0.4%. Find the error allowable in r and h when…

Q: Find c such that P(Z>c)= 0.3859

A:

Q: 2. Find the correct value of c such that P (Z < c) = 0.4. %3D C =

A: According to the provided information, P(Z&lt;c) = 0.4

Q: (0.33) 6. Using a calculator, evaluate A(t) = 8e" 22.255 14.353 1435.253 15.478 for t=2

A: Given, A(t)=8e(0.33)t

Q: 3.5 The value off Jo-o 2 called 1-segment) trapezoidal rule is most nearly 0.388211 -0.5xdx by using…

A:

Q: 8. Using the Romberg Method, with n = 4, to estimate L'e-³dx.

A:

Q: Using Simpson's rule with n=2, I(x³ + 1) dx = Select one: а. 22.1 b. 22 c. 22.2 16 d. 22.01

A:

Q: 6.5 3.5 6.5 Suppose f(x)dæ = 7, | f(x)dæ = 1, | f(x)da = 1. 2 '5 | f(z)dr 3.5 3.5 | (7f(2) – 1)dæ =…

A:

Q: For what value of a is P(Z ≥ a) = .15? (round to two places after the decimal)

A: Let Z be the standard normal variable with parameters ((μ=0,σ=1) The value of a is,

Q: 5.7.4. Show that the two formulas (r = y) and (S(r) = Š(y)) in N.

A: Hi, since there are 2 questions given, the first one is answered.  Given - The formula  x=y To prove…

Q: Explain in your own words, why does the Simpson's rule need to have a number of subintervals n =…

A:

Q: 5 Use Simpson's rule with n = 4 to approximate In(5) 1 dr. %3D %3D 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2…

A: We will find the required value by simpson 1/3 rule for n=4.

Q: Giyen otherwise othenanse [1-efy otherkise Find P(X$!, xe!) Find P/X8I) Find P(Y) Find p(X>6, 3er$8}

A:

Q: Find f(a), f(a + h), and the difference quotient Aa + h) – f(a) where h = 0. 3. f(x) %3D x + 5 f(a)…

A: We have to find the function

Q: Given that P (A | B ') = 0.25, P (B | A') = 0.4 and P (B) = 0.6, P (AUB) =? what

A: It is given that,  P (A | B ') = 0.25, P (B | A') = 0.4 and P (B) = 0.6.  We have to find P (AUB).

Q: For a population. N = 17, 000 and p = 0.11 Find the z value for hat p =0.26 for n = 60.

A:

Q: What is the approximate P-value for the following values of X2 and df? (You may need to use a table.…

A: Using the chi-squared distribution table or using a statistical software (one example is given…

Q: ) find "c" s.t P(S² < c) = 0.95 if X{:n(µ, 12),n = 6, X² = 11.10. %3D

A:

Q: Determine the value of z* that satisfies the conditions below. (Round your answers to two decimal…

A: a) separates the largest 3.2 % of all z values from the others.

Q: Prove that the limiting value of the area of a Koch Snowflake is given by A = where A, is the area…

A:

Q: What do you mean by 'Probable Error' and 'Coefficient of determination' ? Prove that 'r' is…

A: probable error is the coefficient of correlation that supports in finding out about the accurate…

Q: Given that f(8.8) = –2.3 and f(8.9) = 9.3, approximate f'(8.8). f'(8.8) =

A:

Q: Rocky Mountain Chocolate Factory (RMCF) founder and president Frank Crail employs 220 people in 361…

A: for net price  equivalent rate determine first find the complement of the chain discount rate…

Q: Giyen othrrise Fale) = {1-e*" otheraise %3D ot Find P( X$!, Ye!) othenrise Find p/X$I) Find P(Y>)…

A:

Q: a) Let n = n1 = n and z = 2, find n P((x – 9) -;< H1 – H1 < (x – 9) + ;) = 0.954 s.t b) Let Y:…

A:

Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

A:

Q: If the p-value is less than or equal to a ,we reject the alternative * (hypothesis (p s a True False

A: We have to identify given statement is true or false?

Q: y y = f(x) a Let a = 5 and b= 6. If the average value of f(x) on the interval [5, 6] is 16, what is…

A: Let a=5 and b=6the average value of fx on the interval 5,6 is 16

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.