(c) Suppose instead that we have a rectangular tank containing the same volume of water (pictured above on the right). Compute the work needed to pump all of the water out of this tank (again, to a height of 2m above the top).

Q: A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built…

A: Given A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be…

Q: a The base of a triangle is decreasing at a constant rate of 0.2 cm/sec and the height is increasing…

A: Given data is : dbdt=-0.2cm/sec dhdt=+0.1cm/sec Here b and h are base and height of triangle…

Q: Evaluate the integration by parts (5х)(сos(3x))dx 0.

A:

Q: As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at night,…

A:

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

A:

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 -…

A: The given function is,

Q: SOWE NING VARIATION OF PARAMETERS OR REDNOTON OF ORDER (D´+1) y = secx csc x

A:

Q: La integral que corresponde al área de la región acotada es: y= x3 8 y= x 1 1 2 8 Seleccione una:…

A: If the region R is bounded by x=a, x=b, y=f(x) and y=g(x) with a<b and f(x)<g(x) for all…

Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: Given that y' = 2x + x²y, where y(0) = -1 with step size h=0.1. Estimate the values of y(0.2) using…

A:

Q: Suppose The problem of intial values y = log (x+y), y(a) = 2 How often is. The modified Euter method…

A:

Q: The output at a certain factory is Q(x, y) = 6x² + 3e36. ỹ+ 3y. %3D where x and y denote,…

A: The function is Qx, y=6x2+3ex36y+3y2. The marginal rate of substitution is given by dydx=-QxQy…

Q: QUESTION 2: Find the approximation for the integral 4 1 S₁ 2x² dx, when applying: the Trapezoidal…

A:

Q: the integrating factor of the non exact DE ydx-xdy=0 is -1/x^2,show your solution

A: We will solve the problem

Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

A:

Q: Tank # 1 initially holds 50 gals of brine with a concentration of 1 lb/gal, while Tank # 2 initially…

A: The working principle here will be Rate of change of salt=Inflow of salt-outflow of salt. The amount…

Q: 2. Find the interval [a, b] for which the value of the integral (2 + x − x²) dx is a maximum.

A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

Q: 3. As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at…

A: Given- As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at…

Q: 1.20 * Prove that the flight-path angle is equal to 45° when v = 90° on all parabolic trajectories.

A: Solution

Q: 5- What is the degree of the error of approximation (h), in the numerical integration method…

A: Error in simpson Method is of order 4 Equation (A) is Newton's Cote's Quadrature Formula

Q: -3 Evaluate the integral: ³ ft t² et du dt

A: We know, ∫emxdx=emxm , for any real number m. ∫xndx=xn+1n+1, for any real number n.

Q: Find the integration factor and use it to find the general solution of the eqation  ( (y(x)2) )/2 +…

A:

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A:

Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, ß are positive…

A:

Q: Given that y' = 2x + x²y, where y(0) = -1 with step size h=0.1. Estimate the values of y(0.2) using…

A:

Q: A company determined that the marginal cost, C'(X) of producing the xth unit of a product is given…

A: Given  C'(x) =x4 -6x  ....... (1) Fixed cost C( 0) = $2000

Q: 3. Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle…

A: given family of parabolas y2=cx at angle θ=60° claim- find the family of oblique trajectories that…

Q: A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x² – y? + 6y if they open a…

A:

Q: 5. Suppose that we have designed a cylindrical storage of radius 6 m and height 10 m, and we are…

A:

Q: 49.) Find the minimum distance from the point (2, 1, 4) to x + y + z = 4 by using the LaGrange…

A:

Q: As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup late at night,…

A:

Q: 10. A 72m open top rectangular tank with a square base x-meter on a side and y-meter deep is to be…

A:

Q: Find the producer surplus ( only ) if for a product : p = D(x) = -3r + 40, p = S(x) = 2x + 10.…

A:

Q: The fuel-cost functions for the three thermal plants is $/h are given by C, = 400 + 5. 5P, + 0.006P…

A: The given constraint: 50≤P1≤15050≤P2≤20050≤P3≤300 Where P1, P2, P3 are the loads of the generator…

Q: 3. The parameters needed to describe the survivor curve for a microbial population at 110 °C is…

A: Given ,  D=1.2min n = 0.4 Let N be the number of survivors after a process of 10 mins

Q: Find the total population within the sector 2|x| < y < 8 assuming a population density of 8(x, y) =…

A: To find: The total population within the sector 2x≤y≤8. Given information: The sector is 2|x|≤y≤8…

Q: Problem 6. For a hanging bar with constant f but weakening elasticity c(x) = 1-x, find the dis-…

A: Given cx=1-x

Q: There is a tank in the shape of a paraboloid:   Water is being pumped into the tank at a constant…

A: Water is being pumped into the tank at a constant rate of 2π cubic inches per minute. If y denotes…

Q: Use​ Euler's method with step size h​ = 0.2 to determine value of y.

A: To determine value of y at x=0.1 by solving the differential equation dydx=y−x1+x,y0=1, and h=0.2

Q: Find the first three iterates appling successive approximation for the initial yule problem x² = x x…

A: Given that x'=x, x0=1

Q: Find the marginal cost (MC) at Q = 10 given that the average cost function AC = +2 100 О а. 20 O b.3…

A:

Q: C(x, y, z) = 90 + 6x + 4y + z where x is the cost of 1 pound of one raw material, y is the cost of 1…

A:

Q: As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup late at night,…

A:

Q: which is the best definition of a counterexample

A:

Q: A company determined that the marginal​ cost, C′(x) of producing the xth unit of a product is given…

A: Consider the given marginal cost function. C'(x)=x3-2x C(x) is the cost function and the fixed costs…

Q: Use the Improved Euler Method to estimate the values of the function y, solution of the imutial…

A:

Q: C' (x) = 20 200

A:

Q: 4. Referring to problem 3 above, estimate the minimum number of subintervals needed to approximate…

A:

Q: The concentration of the solution at anytime t is equal to: O the product of the amount of salt at…

A: We have to find the concentration of the solution at any time t. Let at the very beginning the Tank…

Q: A company finds that its marginal revenue from the sale of the xth unit of its product is given by…

A: Solve  for total revenue function

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.