A rectangular tank that is 4000 ft with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weigh

Q: Find the work done by the force field F in moving an object from P(-9, 3) to Q(3, 7). 2x y F(x, y) =

A:

Q: Find the limit and determine if the function is continuous at the point being approached. lim tan…

A:

Q: Find the volume of the solid graduated by revolving the area bounded by the given curves about the…

A:

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A:

Q: d² y dx² Linear Equatoin/ variatoin parametee + y = tan x

A:

Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. -(C (x, y) = 1.0…

A:

Q: Given that f(x) dx = 3 and ſå f(x)dx = 4. 2 6 A) f f(x) dx = 2 B) f²2² 3 f(x) dx = 6 c) f f(x) dx =

A:

Q: Find the absolute minimum and maximum. value of the function. f(x) = x +49 +7 on the interval [1,98]…

A: We solve the given problem by using the differentiation concept.

Q: Suppose that ♬ = 5x²/5 + ev/²3, and let C be the path consisting of (i) an arc along y = x² - 1 from…

A:

Q: find the first six terms of the recursively defined sequence. a) Sn = 2sn-1 +3 for n > 1 and s₁ = 1…

A:

Q: Find a b. a = (3.5, 0.2), b = (-5, 4)

A: The given vectors  and .The aim is to find the value of the dot product .

Q: Find the coordinates of the stationary points of the function. f(x) = 2x³ + -1x² - 60x +9 f'(x) = f"…

A:

Q: Consider the function f(x) = 2 + 3 ४।०७ +5e.

A:

Q: Find the linear approximation of the given function on a neighborhood of the point p.…

A:

Q: Locate the stationary points of the function. f(x) = f'(x) = I (x-1)² +6 Find when f'(x) = 0, hence…

A:

Q: 9 Use the Intermediate Value Theorem to show that there is a solution to the equation ³-5x² +10x-7=0…

A:

Q: Let F(x, y, z)=(-xz²,-4xyz, 8xy³z) be a vector field and f(x, y, z) = x³y²z. vf=(000) VXF=( Fx Vf=(…

A:

Q: Find the volume of the solid graduated by revolving the area bounded by the given curves about the…

A:

Q: (a) [ dx ? 元+1

A:

Q: you have been given the linear syestem. following X'= determine the eigenvectors and the matrix. 3 2…

A:

Q: An airplane manufacturer can produce up to 15 planes per month. The profit made from the sale of…

A:

Q: An epidemic spreads through a population at a rate proportional to the product of the number of…

A:

Q: 2x X 1 work and your coordinate grid must be labeled. Sketch the graph, using limits, of y= - Be…

A:

Q: 90 ft (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to…

A:

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

A: Given

Q: Which formula is not equivalent to the other two? (-1)^-9 k-9 12 (2) Σ O k = 10 Choose the correct…

A:

Q: Use the chain rule to find əz Ər =√r-2,0=π/6 if z = xye*/, x=rcos 0, y = rsin 0:

A:

Q: b) find the expression of the partial derivative sigma (h)/ sigma (x)  c) find the expression for…

A:

Q: a) Find the critical point(s) for the function f(x, y) = 3x² − 2xy + y² −8y. b) Classify each…

A: The given function is; f(x,y)=3x2-2xy+y2-8y

Q: from the formula for sn, n≥ 1. 8 a 2¹ +1 b) find the first five terms of the sequence 2n 2n + 1 n-1…

A: We need to find first five terms of the given sequence.

Q: Derivatives 5.1) Find dy/dx

A:

Q: Evaluate CurlF-nds F(x,y,z)=xi+yj + zk, and S: z=√√x² + y²₁ z≤2 and n is outward. S

A: ∬SCurlF⋅ndSwhere F(x,y,z)=xi+yj+zkand S is the surface defined byz=x2+y2 with z≤2,

Q: 3 √ √ ² (6 + Evaluate the integral 2 dr.

A:

Q: Newton's method question... 5sin(x)=x x1=2 what is x2 and x3?

A:

Q: Find the area under the curve f(x) O u = x√In V 1 X In 2 as shown below.

A:

Q: Question 1 Two straight roads intersect at right angles. At a given instant, a car is 30 km from the…

A: We solve the given problem using the differentiation concept.

Q: Question 1 An open flat-topped water trough in the shape of a triangular prism is emptied through a…

A:

Q: The graph below shows the velocity (in feet per second) of an experimental car for 0≤ t ≤ 24 seconds…

A: Given the graph of the velocity vs t

Q: Find the inverse Laplace transform of- fes 3² (5²+4) a. ₁ (t-1)U(t-1)+sin2(t-1)U(t-1) b.…

A: The given function

Q: Plotting the Course With access to the spacecraft's controls, you connect your computer and begin…

A: The acceleration is given as

Q: Consider the following ODE Solution can be sought of the form where dy₁ =1y₁ +(1)y2 da dy23y1 +(2)y2…

A:

Q: Find the area of the region bounded by on the interval [1,8] f(x) = e4x and g(x) = 2x 2x on

A: The area of the region bounded by the curves y= f(x)  and y=g(x) on [a,b) is given by

Q: A wire 24m long is cut into 2 pieces one part being bent into a circle and the other into square. If…

A:

Q: 3. For which x value(s) is ƒ(x) = = why. 10+ x x² -9 - 1 2x continuous? Explain

A: f(x)=10+xx2−9−12x

Q: You are given the table below. X 2 4 6 8 10 f(x) 11 27 15 6 30 Use the table and n = 4 to estimate…

A:

Q: Find a power series representation for the function. f(x) = x³ tan-¹(x³) f(x) = 8n+9(-1)" 2n + 1 Σ(…

A:

Q: The following relationship is know to be true for two angles A and B: cos(A) cos(B) sin(A) sin(B) =…

A:

Q: Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of…

A: rules:1) when  is positive angle is measured anticlockwise from 02) when is negative angle is…

Q: > b) find a formula for s„, n ≥ 1. 1/3, 2/5, 3/7, 4/9, 5/11, ... 1/2, -1/4, 1/6, -1/8, 1/10,...

A: The series a is given by:- The series b is given by:-

Q: Use the formula or a calculator application to find the monthly payment on a home mortgage of…

A: principle amount = $284,853interest (r)= 0.04608time (T)= 30 yearsnt= 12*30=360 monthsr/n=0.00384