A rectangular swimming pool is 46 ft wide by 75 ft long. The table gives depths (d) from x = 0 at the shallow end to the diving end. Use the Trapezoidal Rule with n= 15 75 to estimate the volume of the pool, V =| 46 • d(x) dx. 15 20 d 46.2 | 7.2 | 7.9 | 8.5 55 60 65 70 75 12.4 12.7 5 10 25 | 30 35 40 45 5O 9.5 | 9.9 |10 10.7 11.1 11.4 11.7 12.

Q: n2 What is the value of the constant for the convoluted aperture? AckosgZ) =(5X+7y)3y=52)Ŝ+(2x…

A:

Q: According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the…

A:

Q: The volume of a cylinder of height 11 inches and radius r inches is given by the formula V 11πr?. dV…

A:

Q: The area of the region lying below the straight line y 2x-4 between 3 < r<4 can be calculated by O…

A:

Q: For degrees of freedom, df = 11 and t = 2.201, the area to the right of the t-value is:

A:

Q: Find the measure of DF if E is the midpoint of DF given that DE = 2x + 4, and EF = 3x -1.* 14 28

A: Since E is the midpoint therefore DE = EF

Q: (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical…

A: d) From part c) the slope of the line DC is 100-h taking limit of this value as h→0…

Q: 10 Use the trapezoidal rule with n= 3 to approximate9 + x* dx. (Round the final answer to two…

A: Solve the following

Q: 0.05q? + 89 + 180. Find the quantity q for The total cost of producing q product units is c = cost…

A:

Q: The variables of x and y are connected by the relation y = log(a + bx) where a and b are constants.…

A:

Q: . The value of e*dx by using 2-segment Simpson's 1/3 rule most nearly is 0.2 A. 7.8036 B. 7.8423 C.…

A:

Q: 1 x²y. The volume of an object is given by V = 1 where t 2 0, the volume of the object decreases as…

A: The volume of an object is given by V=13x2y. We have x=tt+1, y=1t+1 where t≥0. So,…

Q: (h) Find the value of r0.6 e*dx taking n= 6, correct to 5 significant figures by Simpson's one-third…

A: Given integral is                          ∫00.6exdx  ⋯⋯⋯⋯⋯ (1)  taking n=6, find the value of…

Q: The result is calculated as follows. '1 +5/8 dx 8_y13/8 . 13 = F(1) – F(0) - 0 II

A: Let I=∫01x5/8dx

Q: The degree of the differential eqution 3 dx dy2 а. 6 b. 3 С. 1 d. 2

A: Explanation of the solution is given below...

Q: The table on the right represents selected values of f(x). (Note: Ar is not constant.) 6. 8. S(x) 1…

A: We have to find integration of given function by using trapezoidal rule

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we know that lnmn=lnm+lnn similarly, ddxlncx=ddxlnc+lnx=ddxlnc+ddxlnx…

Q: While evaluating the approximate value of 13 x dx, using Trapezoidal rule, taking 7 h = 0.5, the…

A:

Q: 3.2 The value of e-0.5*dx by using three-segment trapezoidal rule is most nearly 1.1

A: The complete solution is in given below

Q: Considering four subintervals, the value of f dx by trapezoidal rule is: 1+x Select one: a. 0.6870…

A:

Q: Q2:- The pressure of the gas corresponding to various volumes V is measured, given by the following…

A:

Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx; n = 8 3 3x +3 A, = (Round…

A: We will evaluate the integral by using trapezoidal rule as shown below

Q: The tanh (2x) sech (2x) dx is equal to sech? (2x) sech (2x) -2*) O A. 1 +C 2(e2 +e 3 10 B. tanh6…

A:

Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: The formula for Simpson's rule is given by ∫abf(x)dx≈∆x3f(x0)+4f(x1)+2f(x2)+4f(x3)+f(x4). To find…

Q: 2. A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given, A ball 6 inches in diameter is to be covered by a rubber material which is 3/16 in thick.…

Q: If the approximated value of , 16x³ dx using Simpson's rule is 260.03, then the error in the…

A:

Q: The value of fox² dx could be approximated by using Trapezoidal Rule with n = 3. Find the values of…

A: The value of the integration

Q: The approximate value of | dx by using Simpson's rule is 0.3480, then the error in the approximation…

A: We have to find error.

Q: What must be the measure of ZX in order for ARST to be similar to AXYZ? 10 5 40° А. | 20° 32° C. 40°…

A: given that ∠R = 40∘∆RST = ∆XYZ

Q: 2nd-) When h=1, which of the following is the solution of the integral ſe*dx by the Trapezoid…

A:

Q: A train is moving at 15 m/s, while steam is shut off and brakes are applied. The speed of the train…

A:

Q: 6 $ The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop…

A:

Q: Find the values of "a" such that f(x,t) = e ax + 6t satisfies the equation of 2f ot dx? smallest…

A:

Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

A:

Q: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed…

A: In the question we have to estimate the quantity.

Q: 1 If the approximate value of dx is 0.2178 by Trapezoidal rule, then the error is 5x+7 а. 0 b. 0.369…

A: We will find error by finding the difference between exact value found by integration and…

Q: Use Composite Trapezoidal Rule with M = 4 to find: Lif(x)dx where f(x)=(1+x?)-1 Select one: O a.…

A:

Q: If we use Trapezoidal rule to approximate * f(x)dx then find the value of x2, where n= 6 Select one:…

A: The Trapezoidal rule formula is ∫abf(x)dx ≅ h2f(x0)+ f(xn) + 2( f(x1)+f(x2) + .. f(xn-1)) h = b-an =…

Q: 4 S X the condition that the error for Trapezoidal Rule will be at most 10-6. 9. Given: dx.…

A: The error bound for the Trapezoidal rule is given by the formula E≤b-a312n2maxf''x where a is the…

Q: Given the graph of y g(x). y 2 3 4 -1 -2 -3 4.1 What is the area enclosed between the graph of g,…

A:

Q: Suppose the depth of water in the lake at time t (where t is measured in months) is given by h(t) =…

A:

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

A:

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx n=8 Round the final answer to…

A:

Q: A model for the surface area of some solid object is given by S = 0.171w0.685 h0.459, where w is the…

A: Given :  The surface area of some solid object is given by  S = 0.171 ω0.683 h0.439 , where ω is the…

Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: Suppose that f(0.25) = f(0.75) = ß. If the Composite Trapezoidal rule with n = 2 gives the value 4…

A:

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.