Use cubic interpolation method with two points to find µ2 , where a = 0.6, h = 0. 1, ɛ = 0. 001 and D´ = -2.7.

Q: Find both first partlal deriva N = sinh(8x + 13y)

A: The function given is z= sinh(8x+13y) and we know that derivative of sinhx is coshx

Q: Find the relative relative error by calculating the integral given below for n = 4 with the L, (4x-…

A: According to the given information, it is required to find the relative error by calculating the…

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum…

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Q: Use the Trapezoidal Rule and Simpson's Rule with four subintervals to estimate x* dx.

A: Trapezoidal Rule

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of 6 V(1 + x³)dx. Give…

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Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using…

A: we have to approximate the value of integral by using trapizoid rule

Q: Find the length of the following curve y = Intx + Vx - 12 on 3V2, V54

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Q: Find the area of the region bounded above by y = 2 cos x and below by y = sec x, -pai/4<= x<=…

A: Given curves are:

Q: Use the formula (JE-| / (true value)) * 100 to express |ET| as a percentage of the integral's true…

A: Mathematically the derivative of a function is defined as f'(t)=limh→0f(t+h)-f(t)h. According to the…

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

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Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

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Q: (b) Find the area of the region by integrating with respect to y.

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Q: Show that the equalion Compatible 3olutions are and also find its रिकेपन nd देक.र

A: P2+q2 =1 given therefore 1x =pz P =x/z.  ...(1) q2 =1-p2      =(z2 -x2)/z2 q =z2-x2z ....(2)

Q: of fa) =x² 1 average at %3D Find the

A: The average of the function f(x) in the interval a,b is given by f¯=1b-a∫abf(x)dx. The integration…

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

A:

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

A: Given that 25 tents are built and the average number of COVID cases per tent will be 6 caseswhile…

Q: How does Taylor’s formula for a function ƒ(x, y) generate polyno-mial approximations and error…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Using Simpson's One-Third Rule, an approximate value of 14 / V(x' + 3x)dx with 4 intervals, correct…

A: Given The given integral is ∫04x3+3xdx Simpson's one-third rule is ∫abfxdx=h3y0+yn+4y1+y3+y5+·  ·…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of f V(1+ x3)dx. Give…

A: Given integral is ∫021+x3dx and h=1. We have to approximate the given integral by using Simpson's…

Q: use method of false position to find the Salution accurate to within ét2+2Cos x-6=0

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Find the area of the region bounded by y=sinx and y=1-sinx when revolved around the x-axis on the…

A: We need to find the area of the region bounded by y=sinx and y=1-sinx when revolved around the…

Q: Find the area between the curve y = tan x and the x-axis from x = -pai/4 to x = pai/3.

A: Given information

Q: Use differentials to determine the approximate area, dA, of a circular ring which has an inside…

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Q: Find the value of dz, by Simpson's rd rule, using 8 subintervals, correct to 5x +7 four decimal…

A: Simpson's 13rd rule:∫ab f(x) dx = h3[(y0+yn) + 4(y1+y3+y5+….+yn-1)+2(y2+y4+y6+…..+yn-2)]

Q: Find the approximation of the integral. 1= [e*dx Using Romberg's rule derived from Trapezoidal rule…

A: Given integral I=∫01e-x2dx Here we use Romberg's rule derived from Trapezoidal rule for 1,2,4,8…

Q: Which do you think will be larger, the average value of f(x, y) = xy over the square 0 ≤ x ≤ 1,0 ≤ y…

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Q: Find the area between the x-axis and the curve y = sqrt(1 + cos 4x), 0<=x<= pai

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Q: While evaluating approximate value of 7 | x² dx, using Trapezoidal rule, taking 4. n = 10, the value…

A: The given integral is ∫47x2 dx. Compare the above integral with its standard form ∫abfx dx and…

Q: the length and with of the rectangets are measured at 29 am and 12 cm respectively, with a maximum…

A: It is provided that the length and width of a rectangle are l=29 cm, w=17 cm, respectively. The…

Q: Bm 11 2元

A: we need to find the integral of the function in the given limits to get the

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

A:

Q: Determine the area of the shaded region given the following figure. x= y2 - 15 -19 -8- 10 - 15 Ов.…

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Q: 4) Use the Trapezoid Rule and Simpson's Rule with n 6 to estimate Vx dx

A: Trapezoid Rule: ∫abf(x)dx=∆x2fx0+2fx1+2fx2+.........+2fxn-1+fxn                        where,…

Q: 2) By compating aderivatives, find the Tay ior for tixl= la x at

A: By using Taylor series expension of lnx

Q: (b) Suppose we wish to estimate the area 3 Vĩ dx 2 using the Trapezium rule.

A:

Q: Find the area between the curve y = 1/x7° and the x-axis from x = 1 to co. square units

A: Given: The area between the curve y=1x76 from x=1 to ∞ To find the area of the curve. The formula…

Q: The City Council proposed to utilize government-owned land with an area of 21,600 square meters.…

A: To Find: The rate at which the total average number of COVID cases dx is increasing at x = 10 tents…

Q: What formula would be used to calculate the middle rectangle approximation of Söy x +2dx using four…

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Q: approximate the area under the t-curve ,with degrees of freedom 29, to the right of t=2.462

A: The degrees of freedom 29, and t=2.462

Q: Find the measure of ZD AC.

A: Given :segment ED and segment Ec are tangents to circl A m∠DBC=57°To find :m∠DAC

Q: 7) Estimate the value of e dx using Simpson's rule using 8 subintervals.

A: Given: ∫02ex2dx Here, n = 8 subintervals

Q: Use the trapezium rule, with 4 strips, to estimate fe-a* dx on [0, 2]. What is the maximum error?…

A: Given integration is : ∫02e-x2dx The formula used in trapezium rule is :…

Q: Using Simpson's rule, what is the approximate value of ſ dx with n 10?

A: Given that, the integral is ∫0211+x3dx and the value of n=10. Note that, the Simpson's rule…

Q: Determine the mean and the rms values of the following by direct integration method a. f(t) = sint…

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Q: - Use midpoints with n = 5 subintervals to estimate 1 dx. Explain your solution method. A population…

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Q: find the indefinity integral  x^9 dx

A: