Prove that in the pairs of positive numbers ¤, y for æ² + y° = r the sum a+y is greatest when z = y. %3D

Q: Suppose that f(0) = 1, ƒ(0.5) : 2.5, f(1) = 2, and f(0.25) = f(0.75) = a. Find a if the Composite…

A: Given:           x         0         0.25      0.5       0.75        1      f(x)     1        α…

Q: Suppose we have some approximation N(h) to M, and we know that N(h) = M + C¡h+ C2h² + C3h³ +0 (h*) .…

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Q: The approximation of 1 = f(x + 1)e** dx using composite Simpson's rule with n = 4 is: O None of the…

A: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1where Δ x = b-an, n is evenApply Simpson's…

Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

Q: The approximate value of [(e²²x +4x² − 8) dx by combination of Simpson's 1/3 rule (n=6 segments) and…

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Q: Given that s(z) what is the antiderivative of s(1)? (Do not include the constant C in your answer.)…

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Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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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: Given Z = y?e-2a + 3y ; where x = In 2 and y = 2 with possible errors Ax = 0.01 and Ay = 0.03.…

A: the given function is Z=y2e-2x+3ywherex=ln 2y=2possible errors∆x=0.01,  ∆y=0.03to find absolute and…

Q: Use the improved Eulers method to obtain a four decimal approximation of the indicated value. First…

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Q: 1. Complete the following tables of values to investigate your complete solution below or at th u im…

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Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First…

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Q: As x approaches positive infinity, which of the following describes the end behavior of y = -a + br…

A: Given, y=-x5+bx+c

Q: For ey – In x=y2, find the value of k so that (y'-y"')=1 at y=0- e O 1 O e

A: Solve by double differentiation

Q: P. Im(f(z))dz O equal to the above None of these

A: no these are not equal because

Q: The approximate value of [(e^² + 4x² − 8) dx by a single application of Simpson’s 3/8 rule išº − is…

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Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = , find the…

A: Solution is given below:

Q: Find the value of k that makes the antidifferentiation formula true. (1– 10x) 1 dx=k In 1= 10x + C…

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Q: Use Euler method to approximate the value of y(0.2), given               ay' - by = kcos(cx) + mx…

A: Given that, ay'-by=kcoscx+mx,   y(0)=5∆x=0.025a=2, b=4, k=6, c=2 and m=7We need to find y0.2 using…

Q: Use Euler method to approximate the value of y(0.2), given ay' - by = ce^(kx) + mx , y(0) = 8 with…

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Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: Given f(x, y) : 5x? + 5y2, evalue the following to at least 4 decimal places. fz( – 3, 1) =

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Q: In one model of the changing population P(t) of a community, it is assumed that = - , where and are…

A: According to question, dPdt = dBdt-dDdt

Q: Use Euler method to approximate the value of y(0.1), given ay' - by = ksin(cx) + mx , y(0) = 12 with…

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Q: Find the value of k that makes the antidifferentiation formula true. |(1- 10x) 1 dx=k In |1– 10x| +…

A: According to question given that ∫1-10x-1 dx=k ln1-10x+C

Q: In approximating the population in terms of t, P(t) = P(0) - tP'(0). If the current population of a…

A: This question is related to Functions, we will solve it using given information.

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

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Q: Use Euler method to approximate the value of y(0.1), given               ay' - by = ce^(kx) + mx  ,…

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

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Q: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: Compute R6 as follows. R6=0.5 v0.5+v1+v1.5+v2+v2.5+v3=0.5 15+18+25+19+14+18=0.5 109=54.5 Thus,…

Q: Express each of the numbers as the ratio of twointegers. 0.d = 0.dddd....., where d is a digit

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

A: Given

Q: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

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Q: Find the approximations T, M and S, for n = 6 and 12. Then compute the corresponding errors ET, EM,…

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Q: The volume of a square pyramid is related to the length a side of the base s and the height h by the…

A: For a square pyramid, length of side of the base is s and the height h, Volume is V=13s2h

Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First…

A: Given: y'=fx,y=xy2-yx, y1=1.5 We have to find y1.5 when h=0.1 Also we have to find y1.5 when h=0.1…

Q: Use Euler method to approximate the value of y(0.2), given ay' - by = kcos(cx) + mx , y(0) = 9 with…

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Q: Use the improved Euler's method to obtain a four decimal approximation of the indicated value…

A: Given y′=4x-9y,y(0)=2,h=0.1,y(0.5)=?Method-1 : Using formula k2=hf(x0+h,y0+k1)Second order R-K…

Q: For testing H,: M=M, V.S H;: M2.546)=0.01, then the p- value is اختر احدى الدجابات 0.99 0.1 X 0.9…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: Given Z = ye-3a + 4y ; where x = In 2 and y = 2 with possible errors Ax Ay = 0.03. Estimate the…

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Q: Use Euler method to approximate the value of y(0.2), given               ay' - by = ce^(kx) + mx  ,…

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Q: In(rºs sºVr?s²) 6,8/7 2 r'S is equal to A In r+ B ln s where A = and where B =

A: using the concept of logarithmic...

Q: = 40 dB and By= 20 KHz is found to have N 10° K TO An amplifier with ga when T To Find T and noise…

A: Answer: For the given data,

Q: The volume of a cone is given by V = πr²h/3, where r is the radius of the base and h is the height.…

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Q: Given Z = y? e-3* + 3y ; where x = In 2 a... y = 2 with possible errors Ax = 0.01 and = 0.03.…

A: GIVEN: Z = y2 e-3x + 3y, where x = ln 2, y = 2

Q: Estimate the maximum possible error in the computed value of T (Included in the image).

A: Differentiate both sides of the equation.

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: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

A: In this question we have to find maximum error.

Q: 1. Use the Gauss forward formula with xo = 2.0,h = 0.15, n = 7 to find an estimate for f(2.5) if %3D…

A: Given: fx=xlnx. x0=2.0, h=0.15, n=7.   We can solve this by using Gauss forward formula