The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days and a standard deviation of 15 days. In what range would you expect to find the middle 98% of most pregnancies?

Q: tm 5.39x10 -42 ^ 539 mm a 23x23 mm

A: To do the conversion we use the following: 1 metre = 1000 millimetres  i.e., 1 m = 1000 mm

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A: If the primal problem is of the form Minimize z=CY Subject to AY>=b Y>=0 Then it's dual…

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Q: B: Find F (8) for the tabulated function below Use Gregory-Newton formula. -1 1 3 5 7 f(x) -8 22 340…

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A: Since every open subset of Rn can be written of countable union of disjoint open balls and each ball…

Q: Find approximate value of the derivati f(x0)-6f(x,)+3f(x,)+2f(x,) f'(x2) = 6h f(x) = 10 sin(20x²) Ax…

A: Solution :-

Q: Calculate the flow in the field F along the path C. Flow means line integral F = (x - y) i - (x 2 +…

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Q: If the rate of inflation is 3.4% per year, the future price p () (in dollars) of a certain item can…

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Q: Find the Laplace transform of: 1. f(t) = e(-30) sin(2t) cos(3t) cosh(t)

A: Given function can be written as ft=e-3tsin2tcos3tet+e-t2=e-3tet+e-t2sin2tcos3t

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Q: 1. Consider the following scenario: Janet, Gail, Susan, and Lisa all walked away from the bus…

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Q: 2. Some parts of this question refer to the attached research paper: Mili Shah (2013), Solving the…

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Q: Evaluate the triple integral. SSSE 7xy dV¸ where E lies under the plane = 1+x+ y and above the…

A: We have to Evaluate the triple integral.

Q: Given: surface Q : 9x² – 4z² = 9y (a) Give the equation of the trace of Q on each coordinate plane…

A: Given : surface          Q : 9x2-4z2=9y (a) To give equation of the trace of Q on each coordinate…

Q: ® Complete the proof 4 the friet deitaihuteje 10 lav cin In, liky To do this (3 real nembeo), a.…

A:

Q: 3. Write down the neighborhood of {X, y3} in the graph given below. X2 yi X6 y2 y6 y3 V5 y4 X5 X4

A: Solution :-

Q: TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is an improper…

A:

Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X 2 -2 -2 | X(t)…

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Q: (1+4x² )y"-8y = 0

A:

Q: Conversion between Number Bases Q.6) a. Convert the following number to decimal form by expanding in…

A: a. 10010two is converted into decimal form by expanding in powers as shown below.

Q: 4. 2y"+xy'-4y = 0

A: Power series solution of the differential equation

Q: 5.2.7 Show that Ae³A™ = eABA' for any orthogonal matrix A.

A: To show: AeBAT=eABAT for any orthogonal matrix A.

Q: By using triple integrals, find the volume of the solid G bounded above by plane 2x+y+z=6 and below…

A: Given plane is 2x+y+z=6 and z=1. We have to find the volume of solid G bounded above by plane…

Q: O The circle drawn around a rectangular triangle wit legs long v2 is itself long : a) V2n b) 6л c)…

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Q: 2 The distance, d metres, that a ball rolls down a slope varies directly with the square of the…

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Q: x² +y² = 25from x = 2 to x = 4. Find the length of the arc of the circle

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Q: (2xy* e+2xy*+y)dx + (x*y*eY-x*y²-3x)dy=0

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Q: d²y dy + 2b +y = 0 dx dx2

A:

Q: Find the area of the region using a double integral. The region bounded by y = 5æ®, 5x + y = 10, and…

A: The graph is drawn using DESMOS graphing calculator.

Q: a. Draw an appropriate Venn diagram and use the given information to fill in the number of elements…

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Q: Consider the equation 4y" + by' + cy = 0 the constants b,c,m,n are real and different from zero, the…

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Q: The integral TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is…

A: Improper integral

Q: (1) (2)

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Q: For each of the following series determine if the series converges or diverges. 00 In(n) n n=2 n3…

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Q: Justify whether the following sequence {an} and the series an converges. If yes, find its limit. (a)…

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Q: 2. Is the graph below a tree? Why or why not?

A: To identify given graph is tree or not

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-4x+5,x=4 , and…

A: volume of the solid of revolution about x axis of a curve y=fx, from x = a to x = b is given by…

Q: Construct a frequency distribution table with seven classes for the scores below. Determine the…

A: frequency distribution of the given data class interval Tally marks frequency cumulative…

Q: Find a Maclaurin series expansion for f(x) = e- 2x

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: Question 5 2 4-y² cV8-x2-y? Use cylindrical or spherical coordinates to evaluate the integral. J.J.…

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Q: Use the level curves in the figure to predict the location of the critical points of f and whether f…

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Q: Find: 1 s³ – a 23.

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Q: f (t) = tcos3 3t dt 0, e-4t

A: Given: f(t)=∫0∞tcos33te-4tdt To find: Value of integral using Laplace transform.

Q: (5) If z = xf (2) +g (2), then the value of Z. + 2xy- + y?. is Əxdy (а) -1 (b) 0 (c) 2 (d) 3г

A:

Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2+s+6)(s²+5)

A: To solve given question first we write the partial fraction decomposition of given function and then…

Q: Evaluate using Laplace Transform: f (t) = tcos3 3t dt e-4t

A:

Q: 2 6.xy + 2z how that G(r, y, 2) = (3y? + ( 3y2 + 2x , x, y, z > 0 is conservative %3D 22 a) without…

A: Scalar potential function