A beverage company manufactures 2-liter pineapple juice to be packaged in cylindrical cans made of tin. In order to save the container, the surface area of this cylinder should be minimized. Determine the dimensions (height and radius in cm) in order to achieve this

Q: d varies directly as t, and d = 55 when t= 11. Find t when d = 90. оооо 18 11 90

A:

Q: Simplify. sin x csc x + sin x csc x O sin² x + 1 O 1 O csc x O2

A:

Q: Given F = (xyz², x²yz³, y²), find the following. (a). div (b). grad (divF) (c). curl (grad (divF))

A: We need to find the divergence of the field. F=xyz2, x2yz3, y2

Q: Meteorologists define the temperature lapse rate to be -dT/dz where T is the air temperature in…

A:

Q: Sabina begins 10 meters to the east of a certain tree, and walks directly to a spot 6 meters north…

A:

Q: Consider the following. u = (2,−1,0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal to…

A: Given vectors: u=<2,-1,0> v=<-2,7,0>   The first vector can be written as, u=2i-1j+30…

Q: A car rental agency rents 420 cars per day at a rate of $30 per day. For each $1 increase in rate,…

A: Given,  a car rental agency rents 440 cars and charges $30 per car. Also, when he increases the…

Q: Consider the function f(x) = 4(1 e). Use exact values when answering the following questions.

A:

Q: Find u and v if u+3v = 3i − k and 2u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and…

A:

Q: An object of mass 5 kg is released from rest 2000 m above the ground and allowed to fall under the…

A: According to question,Given Informations,Mass m = 5 kg,b = 50 N-secm,g = 9.81 msec2

Q: -6 -5 -4 -3 № 10 8 4 2 -2 4 -8 -10+ 1 2 3/4 The function graphed above is: Concave up on the…

A: Solution below

Q: Replace the polar equation r= The equivalent Cartestian equation is y= Choose the correct graph…

A: Given: r=7sinθ-2cosθ

Q: Which of the following graphs represent the region whose area is denoted by the integral: 3 (2 sec…

A:

Q: Find the minimum and maximum values of f(x, y) = x²y4+1 subject to the constraint x² + 2y² = 6.…

A:

Q: Use the appropriate formula to find the value of the annuity. Find the interest. eriodic Deposit…

A: Please see the below picture for detailed solution.

Q: Find the vertex of: f(x) = (x − 2)² – 1 - The vertex is

A:

Q: Q2. Find the equation of the tangent line to f(x) = x³ - 5x² + 1 at x = 1.

A:

Q: Evaluate the integral. (Use C for the constant of integration.) s (arcsin(x))² dx

A:

Q: Find the limit by rewriting the fraction first. xy-2y-9x+18 x-2 lim (x,y) → (2.2) x=2

A:

Q: Find exactly the vector oppositely directed to v = (3) and half the length of V. i i

A:

Q: -4 -3 -2 A -67 -134 -201 -268 2 3 4 5 6 7 -335 -402 -469 -536 -603 -670+ For the above quartic…

A:

Q: Determine the sum of the series

A:

Q: Use closed interval method to find the absolute max and min values of f(x)= x/(x^2 +2) on the…

A:

Q: ANSWER ON A SHEET OF PAPER, I CANT EVEN SEE THE ANSWER, U TYPED IT, I CANT SEE NOTHING

A:

Q: Simplify. 2z 3x p + O [-2z+6x2 아 3æ-5 이 [2] 2z - 6x² 31-5 2z+ 6x² 31-5 2z+6x² -31 - 5

A:

Q: Use the Root Test to determine if the following series converges or diverges, or if the test is…

A:

Q: Compute the integral [31 f(x)dx, where the graph of f is the red curve given in the following…

A:

Q: The demand curve for original Iguanawoman comics is given by (357-p)2 (0 sps 357), 100 where q is…

A:

Q: fraction method S (3x² + 4) d x (x + 4)(x² + 4)

A:

Q: 4. Find the flux of F across S if F = yi-xj+2zk and S is the hemisphere x² + y² + z² = 4, z ≥ 0,…

A: We have to find flux passing through sphere.

Q: Determine whether the integral is convergent or divergent. If it is convergent, es ["e-√y oy dy

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising…

A:

Q: f(x) = ln (17x) Choose the Maclaurin series. In (1 - 7x) = 00 Σ n=1 In (17x) =- In (1-7x) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Can you elaborate how to incorporate c into the solution. Like c=0? And how does f'(0)=7 and…

A: Solution below

Q: AY ILILI - m IN 987

A:

Q: Find an equation in standard form for the ellipse graphed below. 6 5 4 2 1 -6 -5 -4 -3 -2 -1 -1 1-2…

A:

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 0 0 O 02-6) dx 을 3/

A: H=∫-11(x2+6)dx∆x=b-anT4=∆x2f(x0)+2f(x1)+2f(x2)+2f(x3)+f(x4)

Q: Evaluate the integral. (Use C for the constant of integration.) 5 sin(8x) cos(5x) dx

A:

Q: Consider the following. sin(20) 9-7 sin(8) Use the substitution u = sin(8) to rewrite the given…

A: To solve the following indefinite integral.

Q: Find the interval of convergence of Σn(x - 9)" n=2

A:

Q: Find the derivative of the given function. y = x:5× dy dx ||

A: y=x.5xd dx(ax)=axlna

Q: Find the Taylor series centered at c = -1. 342 3x – 2 f(x) = Identify the correct expansion. 4 Σ -(x…

A:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 4x+12y…

A:

Q: - -5 -4 3 -2 -1 3 n 7 n J 7 23.

A:

Q: Find the particular antiderivative that satisfies the following conditions: F(x) = F'(x) = x³ +8√x;…

A:

Q: Each function below describes how something changes. Use the description to determine which…

A:

Q: A swimming pool is in the shape of a rectangular parallelepiped (prism) a ft long, b ft wide, and c…

A: The given data is: a=46 ftb=16 ftc=8 ftg=9.8m/s2=32.174 ft/s2  Find F.

Q: Determine whether or not the given pair of matrices is an inverse pair. 1 14 1 -1 0 0 1 2 0 1 -2 0 1…

A:

Q: Consider the function f(x) = 3 - 8x2 on the interval [-5, 7]. (A) Find the average or mean slope of…

A: