In cubic spline interpolation, † the first and the second derivatives of the spline is continuous at the interior data points Only the first derivative of the spline O is continuous at the interior data points Only the third derivative of the spline is continuous at the interior data points Only the second derivative of the spline is continuous at the interior

Q: Given: f(x) = sin(x) - x3 (where x in radians) When using the bisection method from a starting…

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Q: Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = ; 2x² + 2 at the points xo = 0; x, = 1…

A: We will use La Grange interpolation

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We have to find arc length L= ∫ab1+dydx2dx

Q: The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the…

A: We have to find the perimeter of the figure when the vertices of quadrilateral are known.

Q: Based on a survey, assume that 46% of consumers are comfortable having drones deliver their…

A: In studying the hypothesis, there are some notation and concepts which we have to know. If we select…

Q: Question 4. In each of the following examples, describe precisely the image f(D) of the set D under…

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Q: Let I = L,r* cos(x + 1) dx. The approximation of I using the two-point Gaussian quadrature formula…

A: The two point Gaussian quadrature formula is ∫abf(x)dx≈c1f(x1)+c2f(x2) . Here,…

Q: other. In a given population, 1000 people (aged at least 21 years old) are sampled and asked two…

A: It is claimed that being happy and being in relationship are independent of each other. Hypothesis…

Q: In a group of 10 people, three $5 prizes will be given. How many ways can be the prizes be…

A: According to the question, there are 10 people in the group. That is, n=10 Three $5 price are…

Q: ) Find f'(0.75) for h=0.25 according to the Table, a) with the Forward difference formula b) with…

A: 1) Forward Difference method:               f'(x)=(f(xo+h) − f(xo))/ h              f'(0.75) = (…

Q: The indicated IQ score, x, is

A: Let X represents the distribution of IQ scores. Given that X~N(mean= 100, SD= 15), then Z = (X -…

Q: (e) Test of independence for Bernoulli random variables: Let X,Y be two Bernoulli random variables…

A: We know, r=PX=1, Y=1p=PX=1q=PY=1

Q: An elevator has a placard stating that the maximum capacity is 2052 lb-12 passengers. So, 12 adult…

A: The objective is to find the probability that the elevator is overloaded.

Q: The random variable x represents the number of phone calls an author receives in a day, and it has a…

A: X represents the number of call received in a day.  So, X can take non-negative integer values.…

Q: Let P(x) be the Lagrange interpolating polynomial of the function Ín(x=2) f(x) at the nodes x, = 3,…

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Q: When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan:…

A: Binomial distribution: In a series of n independent trials, for each trial if the probability of…

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: compute sample size ( n ) = n=(Z/E)^2*p*(1-p)

Q: A survey showed that 84% of adults need correction (eyeglasses, contacts, surgery, etc.) for their…

A: Given data, n=18 p=84%=0.84 P(X≤1)=?

Q: S(x) = } 1s + 3(x – a) – (x – 2)² – 2(x – 2)³ S is a natural cubic spline O False O True

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Q: You are considering six independent variables for inclusion in a regression model. You select a…

A: Sample size n=15 k=2 T=6+1=7 Rk2=0.274 RT2=0.653 There are two independent variables that can be…

Q: Suppose that the values of a smooth function fis known for x=0, 0.3, 0.6 and 1.2. Select the 3-…

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Q: umerical

A: In this question, the Concept of Romberg Integration is applied. Romberg Integration Richardson…

Q: A newspaper published an article about a study in which researchers subjected laboratory gloves to…

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Q: Suppose that the first derivative of f(x) =- is approximated by the following formula 3x+4 -2f(x –…

A: The given problem is to find the actual error of the first derivative of the function using the…

Q: a, How many of the 3058 subjects used at least one prescription medication? 2688 (Round to the…

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Q: For 100 births, P(exactly 55 girls) = 0.0485 and P(55 or more girls) = 0.184. Is 55 girls in 100…

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Q: A genetic experiment with peas resulted in one sample of offspring that consisted of 436 green peas…

A: n = 436+157 = 593

Q: Suppose "(1) = N;CN) + a,n^ + aga* + ayh* + -- When calculating N, (A) using Richardson…

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Q: Consider the initial value problem: t/yy'(t) = 2ty + 4y,/y, 1stS 1.2, y(1) = 1 %3D The approximation…

A: Given initial value problem is tyy'(t)=2t2y+4yy,    1≤t≤1, y(1)=1 step size h=0.1 We have to find…

Q: Assume that random guesses are made for 2 multiple-choice questions on a test with 2 choices for…

A: There are two choices for a question one of them is correct therefore probability of guess to be…

Q: Find the regression equation, letting the first variable be the predictor (x) variable. Find the…

A: The data shows the internet users per 100 and Noble laureate rate for a country.

Q: A total cost function (in dollars) is given by C(x) = 569 + 3x + 0.89x². Use differentials to…

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Q: Q3 (a) A polluted pool has an initial concentration of bacteria of 10* part/m3, while the acceptable…

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Q: (5) The point p =2 is a fixed point of the function g(x) = = +1. Show if it is attractive or…

A: please see the next step for solution

Q: The test statistic of z= 1.77 is obtained when testing the claim that p # 0.291. a. Identify the…

A: This is a example of one sample test for population proportion.  Given Alternative hypothesis is two…

Q: urgent please

A: Step 1:Given:2.96 6.52 6.02 5.50 20.49 7.53 11.98 20.46 11.51 17.51Sample size, n = 10 Step 2:To…

Q: When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume…

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Q: You are designing an access ramp for a building. Construction guidelines indicate that the angle of…

A: The angle of elevation of the ramp should be approximately 5°.The total rise of the ramp needs to be…

Q: When a computer disk manufacturer tests a disk, it writes to the disk and then test tests it using a…

A: Given: λ=2 The number of errors on a disk has a Poisson distribution. The expected number of error…

Q: Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and…

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Q: Since an instant replay system for tennis was introduced at a major tournament, men challenged 1384…

A: Given that,  n1= 1328 and X1= 428  n2= 766 and X2= 219 The p1^ = X1/n1 =428/1328 =0.3223 p2^ = X2/n2…

Q: A survey found that women's heights are normally distributed with mean 63.9 in and standard…

A: a. The percentage of women meeting the height requirement is,…

Q: In certain conditions, the air temperature drops about 3.5°F for each 1,000-foot rise in altitude.…

A: Under certain air conditions, the air temperature drops about 3.6degreesF for each 1,000-foot rise…

Q: Assume that a procedure yields a binomial distribution with n= 6 trials and a probability of success…

A: we if random variable X ~ B( n, p) then, P[X = x] = nCx px (1 - p) n - x ,  X = 0,1,2, ..., n…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.