3.4.2 Assume that Y, the number of minutes it takes you to eat lunch on an average day, is equally likely to lie in the interval from 30 to 40 minutes. Compute My (t).

Q: Suppose that T(0) = a and T(1) = b are some constants. Define the running pairwise average as, for n…

A: Given: Tn+2=12Tn+1+Tn for n≥0 T0=a T1=b To find: The limit of Tn as n→∞.

Q: 4. The following function is a cubic spline for what values of a, b, c? 2x3 – 3x2 + 3x – 6 for 0 < x…

A:

Q: 10- Compute the following estimate of J f(x) dx using 8- the graph in the figure. M(4) 6- 4- 2- 0-…

A: Hair we have to use the midpoint rule

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A:

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. y = √x, [9,…

A:

Q: Find the x -value of the point on the curve y=V/2x+2 that is closest to the point (8,0). x=6 O x= O…

A: To Determine: find the x-value of the point on the curve that is closed to the point (8,0) Given: we…

Q: Suppose that T is to be found from the formula T=y( e*+ e-X), where x and y are found to be In 5 and…

A: GivenT = y(ex + e-x)

Q: 4.2 Apply the appropriate method to calculate the following: 1 = f***-8 I = S x2-4

A:

Q: Compute T2(x) at æ = 0.3 for y = e and use a calculator to compute the error |eª – T2(x)| at x =…

A:

Q: Find for following 1.y = (x + v3x)S

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

Q: (b) Use a calculator to verify that Ex = 150.4, Ex² = 3251.86, Ey = 250, Ey² = 10630 and Exy =…

A: a.) The scatterplot of the data is

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: To find the population assume that the rate of change of mosquitoes remains constant at 180 per day.

Q: 4. Find the general form of the function that satisfies dP/dt = -3P(t).

A: A separable differential equation can be solved by separating the terms in each variable and…

Q: If E(X") = (r + 1)! 2", then, the moment generating function Mx(t ) = E(eXt) is (1-2t)2 False True O

A: If we Calculate first moment by using both the expression. It should be same otherwise it is false.

Q: 2) Suppose that d₁= .02t 0≤t≤2 0034² 2<t≤5 Suppose that a deposit of X is made at f= 0, and a…

A: We have to find required deposit amount.

Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

A:

Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5…

A: Consider f(x)=y=ex. Differentiate with respect to x  f'(x)=ex Again differentiate with respect to x…

Q: Calculate coefficient of Q.D. and bowley 's coefficient of skewers from the data given below:…

A:

Q: The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s…

A: Given: The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of…

Q: Use Gauss's forward formula to find the value of y when x = 3-75, given the following table 2.5 3.0…

A:

Q: Solve the following evaation for a 2メ+S X +1 e 3De

A: We have to find the value of X.

Q: 2. Solve the following: dt x> 2 X-y t+

A: The formula for the substitution method for definite integrals is given by , where g'(x) and f(x)…

Q: I) Find solutions to the following function f(x) = 3x + In(x) using five iterations of the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: suppose that y is an implicit function f(x) defined by the equation x^3 + y^3 = 8xy − 7. find the…

A: suppose that y is an implicit function f(x) defined by the equationx3+y3=8xy−7. find the equation of…

Q: Evaluate e dt 0.2

A: We have to use standard gamma integration here.

Q: Calculate coeff. of Q.D. and Bowley's coeff. of skewness from the data given below : Profits No. of…

A:

Q: Suppose that k = 0,2hr−1 and that the smallest effective concentration is 0.04mg/ml. A single dose…

A: Given

Q: find the values of C1 and C2 so that the given functions will satisfy the prescribed initial…

A:

Q: Ay 10- Compute the following estimate of J f(x) dx using the graph in the figure. 8- S(4) 6- 4- 2-…

A:

Q: Compute the t-value of the following. Write your answer to the nearest thousandths. Show your…

A:

Q: In order to obtain a good linear approximation for In (7.4) what would a particularly useful nearby…

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Population growth model says rate of change in population at any time is the proportional to…

Q: - Find the instantaneous vełocity if the p defined as h(t) = 144 - 12t2 for t = 7.5.

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Q: show that e^(4t-3t^2) cannot be a moment generating function

A: Moment Generating Function:                The Moment Generating Function is the expected value of…

Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

A:

Q: 2. Use a linear approximation to estimate V1.03. 3 If f and a are the functions whose gronhs

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A:

Q: Suppose P(t)represents the population of a certain mosquito colony, where tt is measured in days.…

A:

Q: Suppose that L = 27, a = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x < 27.…

A:

Q: 4. Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0°C for all…

A:

Q: Find the length of the curve between the specified interval: 3/2 a. y = x7² from x = 1 to x = 4 b. y…

A: (a) Given curve: y=x32 Interval x=1 to x=4 The length of the curve is given by the formula:…

Q: Suppose that T(0) = a and T(1) = b and are some constants. Define the running pairwise average as,…

A: The function of T is determined using the given recurrence relation as shown below.

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x−1, [2,…

A:

Q: 3. Calculate f(t), given the following F(s): F(s) = In|1 + 22 (s-8)2.

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given query is to find the population of mosquitos after 13 days.

Q: The population of two different species are given by P1 P1 = 4e0.6t - and P2. where t is measured in…

A: The population of two different species are given by, P1=4e0.6tP2=9e0.4t

Q: Suppose X- N(H, 36 ) and P( X > 6 ) = 0.13. Determine the value of u. (Give your answer to 4 decimal…

A:

Q: Compute T2(x) at x = 1 for y = eª and use a calculator to compute the error |e – T2(x)| at x = -1.5.…

A:

Q: If two resistors with respective resistance R1 and R2 are hooked up in parallel, the net resistance…

A: Consider the formula for net resistance: 1R=1R1+1R2 We have, R1=150 and R2=400 Therefore net…

Q: Solve the following linear independent and Wronskian. 2. Are the functions y, = e* and y2 = x…

A: Here we have to determine whether the given functions are linearly independent.  We have,  y1=ex…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.