(a) lim g (t) (b) lim g (t) t 2 t-3

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A: The given problem is solved below in detail.

Q: The mean of two samples of size 50 and 100 are 54.5 and 50.3. Calculate the com bined mean of the…

A: Topic:- Basic algebra

Q: Exercise 195 Further problems on Leibniz's theorem 7. Given 2x2y" + xy' +3y 0 show that 2x2 y(n+2) +…

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Q: Q1/ Graph the following functions (choose 2 only) 1) y = 4 sin x 2) y = cot x 3) y = csc x

A: (1) Calculate a table of points for y=4sinx taking the values of x as 0, π2, π, 3π2, 2π. x y 0…

Q: Exercise (1-3): By Charpit method solve the following PDE (3): p²-q²y = y²-x² (4): (y² +4)xpq −2=0

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Q: 1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls…

A: Probability = Favorable outcomes /total outcomes  Total =5 Red=3 White =2 We have to calculate…

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A: The following data is given: Years of experience Frequency 5 - 10 8  11- 16 10  17 - 22 7…

Q: Apply the rank one correction algorithm to minimize the function f(X) = 15x + 2x - 2x1x2 -x1 - 5x2 -…

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Q: O Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 1

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Q: Ql: Find the integration of : (, 1. S cos (3 sin x)cos (4 sin x). cosxdx 2. J Tanx sec*x dx 3. 6…

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Q: Q1 Solve the second order differential equation; Y" – 5Y' + 9Y = 0

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: There is a unique group law on the 8- element set Q = {±1, ±i, ±j, ±k} that makes i2 = j2 = k2 = ijk…

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Q: Exercise 195 Further problems on Leibniz's theorem 8. If y = (x³ + 2x²)e2* determine an expansion…

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Q: EXAMPLE 3 Find the greatest and smallest values that the function f(x. y) xy takes on the ellipse…

A: Application of differentiation

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: A: Solve the differential equation (3x y°e" +y³ + y²)dx + (x³y³e> – xy)dy = 0

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Q: Exercise (1-3): By Charpit method solve the following PDE (1): p²x+q²y=z

A: This is a problem related to partial differential method. Based on the general formula and concept…

Q: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…

A: See this solution in below

Q: Let k be a real number and (M) be the following system. (M): (x+y=k-1 2x+y= 0 Using Cramer's Rule,…

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Q: Ans 3. (2x +3y-7)xdx-(3x +2y-8)ydy 0

A: According to guidelines we solve one question.

Q: lectrical & Electronic Engineering Department Dr. Atheer Alaa Sabri Exercises Find the solution of…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: UI 7 UBservations, the valués are 10, 11, 12, 13, 14, 15, 16. Find the 95% confidence interval for…

A: Given Sample size (n)=7

Q: To estimate the proportion of smoker a sample of 100 men was selected. In the selected sample, 60…

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Q: Q1/ The limits of the second category 1 are 47 70 87 45 17 33 90 57 72 65 69 35 49 40 10 22 29 70 44…

A: For the given data, we need to find the frequency distribution table.

Q: A psychologist specializing in marriage counseling claims that, among all married couples, the…

A: From the provided information, Population proportion (p) = 0.79 Sample size (n) = 220 out of which…

Q: B- Find the length of the curve given by the position vector r=, =r'i+(1+(1/3)x')j+(1-(1/3)')k for

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Q: Put these data in a frequency distribution with five classes of length 20, each starting from 1 to…

A: From the given observations. The classes are 5 Then, observations are in ascending order,…

Q: The frequency table below shows the compressive strength of concrete cubes results: Compressive…

A: Given frequency table is Compressive strength (Mpa) No. of cubes 41-50 6 51-60 10 61-70…

Q: The following data give the total number of iPods sold by a mail order company on each of 30 days.…

A: From the given information, Minimum value=5 Maximum value=29 Consider, the number of classes is 8…

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Solution

Q: Ow=2 (asbjcyd) a'+b? =o Does (w) represent the IR SubsPace?

A: Please post the multiple question separately. Here I answered 1st question as per our policy.