Ages 15-18 19-22 23-26 27-30 31-34 35-38 Number of students 2 9 4 9 4 4 Find the relative frequency for the class with lower class limit 19 Relative Frequency = % Give your answer as a percent, rounded to two decimal places

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: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

Q: Most of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of these…

A: It is given that Given a triangle with midpoint

Q: Which bounds on the remainder term r3 (x) for the function f (x) = 7" Taylor expanded about r0 = 0…

A:

Q: Find a,b and c so that the quadrature formula has the highest degree of precision f(x)dx = af (0) –…

A: Given that ∫02f(x)dx≈af0-2bf1+3cf2 where a, b and c are constants to be determined. It is also given…

Q: Question 1

A: The formula for the sample size is as follows:

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: If / 10 - 7x2 sf(x)s/10 – x² for - 1<x<1, find lim f(x). lim f(x) = x→0

A:

Q: 5. Use polar coordinates to find each limit : x³ + y³ lim (x,y) →(0,0) x² + y² (a) (b) lim (x,y) →…

A:

Q: Use the formula In(1+x)= Error = r- |1n 2²/7 - n=1 (-1)^-1x n -*2²2 +²³-*+ =X- and your knowledge of…

A:

Q: reason. This one is actually just an algebraic manipulation. Proposition 94: Proportion Lemma AD AE…

A: We prove it by  using the fact that AB=AD+DB and AC= AE+EC

Q: The degree of precision of the following quadrature rule: f(1)dr = Q[f] := f(0) + is: (a) 1 (b) 2…

A: To find the degree of precision of the given quadrature rule: ∫01fxdx≈Qf:=12f0+12f1+112f'0−112f'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

A:

Q: 20 A linear programming model has an objective function, M = 3x + 4y. Which of the following ordered…

A:

Q: _8. Write the equation (x - 8)2 + (y + 7)2 = 225 to general form. 9. Transform x + y? - 2x - 8y - 47…

A: We have write the general and standard form of the given circle equations.

Q: Iim Sy+yZ²+SZ² (x, y, z) (0,0,0) s²+y²+z4 Determine If there are.

A: The given limit is limx, y, z→0, 0, 0sy+yz2+sz2s2+y2+z4. We have to find the given limit.

Q: Using the Poisson formula, find the following probability. A P(x 1) for λ = 3 Round your answer to…

A:

Q: math needed

A: The objective of the question is to find the probabilities for different scenarios given the…

Q: The approximation of the root x' of the funetion f(x) = x* + x* – 2x² – 3x – 3 accurate to within…

A:

Q: f (х, у) %3D у3 + 3x2у - 6х2 6y2 + 2 function is given. a)Find your critical points of f. b)Find all…

A:

Q: f (х, у) %3D х4 + 4y2/x2 + 2y2 f function is defined as. Does f function have a limit at point…

A: We will evaluate the limits using two paths and see if they are same. If not same, the limit does…

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

A:

Q: The approximation of the root x* of the function f(x) = x*e* – 1 accurate to within 10-2 using…

A: To find  The approximation of the root of f(x) accurate to within 10^(-2) using Newton's method.

Q: 2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find…

A: Given: Three Points P=(3,-1,2),Q=(8,2,4) and R=(-1,-2,-3) PQ = &lt;5, 3, 2&gt; PR = &lt;-4, -1,…

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: If A. B is a 3x4 matrix such that the number of columns of B could be а. Зx4 b. 4x3 с. 3 d. 4 a In…

A:

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (–2,3); (2,4) and (4, 3). Then…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The next smallest number of the binary number 0101100000 is a. 0101100001 b. 0101111111 c.…

A:

Q: Suppose f"(x) = N,(h) + a,h + azh³ + azh5 + .. The value of N2(h) using Richardson's extrapolation…

A: The value of N2(h) using Richardson's extrapolation is: N2 (h)=2N1 (h/2)-N1 (h) with error of order…

Q: Use Romberg integration to find an O(h*) approximation for the following integral 1= [ In(x² + 2)dx…

A:

Q: Consider a function 9 q (x) = (x – 3) 2 defined for x > 3. Find the expression for the remainder…

A:

Q: Solve the following autonomous differential equation with the given initial condition. dy dx - 0.4y,…

A:

Q: Find f, and f, and evaluate each at the given point. y' f(x, y) ), (8, -8) = arctan fx(x, y) = f,(x,…

A:

Q: 3. What is the similarity ratio from figure A to B? simplify your answer. 10 B 18 7.2 15

A:

Q: ost function is given. C(q) - 3900 + 69 -0.01q2 +0.0003q³ (a) Find the average cost and marginal…

A:

Q: Calculus

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Most of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of these…

A: A relation is equivalence if it is reflexive , symmetric and transitive. here, we have to show that…