A manufacturer wants to design an open-top box having a square base and a surface area of 150 square inches. What dimensions will provide a box with maximum volume? Length of base :  inches Width of base :  inches Height of box :  inches Give all of your answers correct to two decimal places.

Q: © © © © Τα γλυκά και 4.935 17.45 34.912

A: The given graph shows that the polar curve r=2θ+cosθ for 0≤θ≤π. We have to find the area of the…

Q: Question 13 The resistance of a certain type of resistor is R = √0.0037-57+600 where is measured in…

A:

Q: 9. Solve the following using the graph provided below. (a) limx-2-g(x). y -8 -6 -4 -2 (b) limx-2…

A: Introduction: A function may approach two different limits. One where the variable approaches its…

Q: Find the maximum rate of change of the function f(x, y) 5y5 x at the point (4,5)

A: f(x,y)=5y5xpoint is (4,5)formula for maxi,um rate of change is ∇f(x0,y0)

Q: Assuming continuous compounding, what will it cost to buy a $40 item in 1 years at the following…

A:

Q: dy Given x -=2y;y (1)=2; Then y (3) = 20. dx True O False

A:

Q: My apologies. I didnt realize only one question could be submitted at a time (as I had seen similar…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (9) (a) Find the point P on the plane ry+2=-3 that is closest to the point Q(2, 3, 4). Is the point…

A:

Q: Integrate the given function. 4 √x 1 √x √√x -dx dx = 1 √√x (Do not round until the final answer.…

A:

Q: dy Suppose that x and y are related by the equation 2x² - 5y² = 5 and use implicit differentiation…

A: Given Data : x,y is related by the equation 2x2-5y2=5.   Required : We have to find dydx using…

Q: Consider the function of two variables f(x, y) = e2 cos(3y) +√xy+1 (a) Compute the first-order…

A:

Q: Find the derivative of the function.

A:

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x - 8x² and…

A:

Q: The radius of a spherical balloon is measured to be 9 inches, with a possible error of 0.06 inch.…

A: The surface area of the sphere of radius r is given by  S=4πr2 ddxxn=n·xn-1

Q: Find the definite integrals of the following. 2. l'e²dx

A:

Q: 1 Given lim f(x) = 1, lim g(x) = 10 and lim h(x) = -7, use the limit properties to compute lim x--5…

A:

Q: T(x, y, z)= 1500e PQ y²-z² where T is measured in °C and x, y, and z in meters. 1. Find the rate of…

A:

Q: Use the graph of y = f(x), shown below, to answer the following questions. lim f(x)= lim f(x)= lim…

A: The graph is given

Q: Find all points of inflection on the graph of the function f(x)=2e-5x? @卡 A 卡) ⑥六六) B @) (面 (六 E 面)…

A: Inflection point

Q: Find f'(a). f(x) = √3-4x

A:

Q: e the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Use C for the…

A: This is a problem related to integration. Please follow the procedure given below.

Q: a. f(x) = x4 -8x²

A:

Q: g(x)-2 Let f(x) = (x³ + 7x+5)(7x² + 5) (x² - 2). Use the Product Rule to find f'(1). 14) 15) Let…

A:

Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A:

Q: The equation below represents a demand function for a certain product, where p denotes the price per…

A: To find the marginal revenue function

Q: The number of years N(r) since two independently evolving languages split off from a common…

A:

Q: 6. Let F= Fi + F2j+F3k be a vector field and let j k VXF= 8 Әх F₁ F2 F3 OF3 OF -i (F30/F/2) -j…

A:

Q: 5. Dx 2 csc x-1 csc x+2

A:

Q: Question #1 - Find the relative extrema for the function f(x)=2-3x-2x² using the first derivative…

A:

Q: Find the equation of the line tangent to the graph of f(x)=(1/8)x3  at x= 3.

A:

Q: For j(x)=(−2x2−2)(−3x2+2x), find j′(−1) by applying the product rule.

A:

Q: Which of the following integral can be used to find the volume of a solid on the first octant…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 16 -…

A:

Q: How would I find the equation of intersection of the planes x+2y=-1 and x+4y+z=-2?

A:

Q: Given the plane segment 2x+y+2z=8. How would i set up a double integral to calculate the volume…

A:

Q: The number a (in thousands) of cat flea collars demanded each year when the price of a collar is p…

A: for p = 3  sale = 24920

Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

Q: Use implicit differentiation to find y'. x2/3 + y2/3 = 4 > y': = - Vy 3 V x Find an equation of the…

A:

Q: Differentiate the function. z'(y): = z(y) = A + Bey y¹2 X

A:

Q: Find the area bounded by the following curves. y = 16-x², y=0, x= -2, x= 3 The area is. (Simplify…

A:

Q: f(x)= 2x^3 + 12x^2 -270x The derivative of this function can be shown to equal f'(x)= 6x^2 +24x…

A: Given function f(x)=2x3+12x2-270x As per our  guidelines we are supposed to answer only  three…

Q: 4. 5. Dx cotx -sin csc x-1 csc x+2

A:

Q: Find all the points on the paraboloid z = x² + y²-5 where the tangent plane is parallel to the plane…

A:

Q: 5. Find dy by implicit diffe ? dy = ? 7y Sin (x²) = Sx Sin (4²)

A: 7ysin(x2)=5xsin(y2)d dx(sinx)=cosxddx(xn)=nxn-1d dx(a.b)=a×dbdb+b×dadx

Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number of…

A: Given revenue function:- Rx=-12000+203.5x2+15x

Q: Classify each differential equation as separable, linear, homogeneous, bernoulli equation. Some…

A: Given differential equation,dydx= 6y + y2

Q: I'm just curious as to where the -2 came from?

A:

Q: . Solve the IVP: 2x²ydy − 1 = x¹, y(1) = 1. You must give your solution in explicit form.

A: 2x2ydydx-1=x4y(1)=12x2ydydx=x4+1∫xndx=xn+1n+1+c

Q: 5. Change the cartesian integral into an equivalent polar integral. Then evaluate the polar integral…

A:

Q: est the series below for convergence using the Root Test. X 5n 7n +4 (n) he limit of the root test…

A: Given query is to apply root test.