The surface of the dome on a new museum is given by r(u, v) = 20 sin
Question:
The surface of the dome on a new museum is given by
r(u, v) = 20 sin u cos vi + 20 sin u sin vj + 20 cos uk
where 0 ≤ u ≤ π/3,0 ≤ v ≤ 2π, and r is in meters. Find the surface area of the dome.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
ru v 20 sin u cos vi 20 sin u sin vj 20 cos uk 0 u ...View the full answer
Answered By
Ishrat Khan
Previously, I have worked as an accounting scholar at acemyhomework, and have been tutoring busines students in various subjects, mostly accounting. More specifically I'm very knowledgeable in accounting subjects for college and university level. I have done master in commerce specialising in accounting and finance as well as other business subjects.
5.00+
134+ Reviews
427+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Given a surface S: r (u, v), the differential form with coefficients (in standard notation, unrelated to F, G elsewhere in this chapter) is called the first fundamental form of S. This form is basic...
-
A surface S2 consists of that part of the cylindrical surface z+y? = 9 that lies between the planes z=0 and z=2, and for which z> 0, as shown in Figure Q2. (a) Figure Q2.a on page 4 shows an attempt...
-
Find the points on the given curve where the tangent line is horizontal or vertical. 61. r= 3 cos 0 63. r-1+ cos 0 62. r= cos 0 + sin 0 64. r= 65. 66. r - sin 20 r= cos 20
-
1. Based on a simple, constant context, you will arrive at a stationary state for a unregulated, and then a regulated system. Assume that air resistance and friction for a car increase in the power...
-
Gail and Harry own the GH Partnership. They have conducted the business as a partnership for 10 years. The bases for their partnership interests are as follows. Gail Harry $100,000 ....... $150,000...
-
Dickens Company is a small editorial services company owned and operated by Monica Baker. On October 31, 2014, the end of the current year, Dickens Companys accounting clerk prepared the unadjusted...
-
For each of the following situations, calculate the \(t\)-statistic \((t)\) : a. \(\mathrm{X}^{-}=20.00 ; \mu=18 ; s \mathrm{X}^{-}=1.00\) b. \(X^{-}=20.00 ; \mu=13 ; s X^{-}=1.00\) c. \(X^{-}=12.00...
-
Figure P36.40 shows a thin glass (n = 1.50) converging lens for which the radii of curvature are R1 = 15.0 cm and R2 = -12.0 cm. To the left of the lens is a cube having a face area of 100 cm2. The...
-
Sophie has monthly vacationable earnings of $3,833.33 and her vacation pay rate is 4%. What amount will be accrued to vacation pay payable for the month of August? Round answer to 2 decimal places Do...
-
Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. SS s. F. NdS
-
A cone-shaped surface lamina S is given by At each point on S, the density is proportional to the distance between the point and the z-axis. (a) Sketch the cone-shaped surface. (b) Find the mass m of...
-
The device is used to pull the battery cable terminal C from the post of a battery. If the required pulling force is 85 lb, determine the torque M that must be applied to the handle on the screw to...
-
As shown in Fig. D9.1, a motor is coupled to an inertial load through a shaft. Significant variables and parameters involved in the system are as follows: \[ \begin{aligned} \mathrm{T}_{m}(t) &...
-
The transfer function of a phase lead compensator is given by \(\frac{1+a \mathrm{Ts}}{1+\mathrm{Ts}}\) where \(a>1\) and \(\mathrm{T}>0\). The maximum phase shift provided by such a compensator is...
-
The gain crossover frequency and bandwidth of a control system are \(\omega_{c u}\) and \(\omega_{b u}\) respectively. A phase lag network is employed for compensating the system. If the gain...
-
Consider the following statements. In a feedback control system, lead compensator 1. increases the margin of stability. 2. speeds up transient response. 3. does not affect the system error constant....
-
The transfer function of a phase lead network, as shown in the Fig. M8.14 is \(\frac{\mathrm{K}(1+0.3 s)}{(1+0.17 s)}\) The values of \(\mathrm{R}_{1}\) and \(\mathrm{R}_{2}\) are respectively: (a)...
-
By assumption, individual preferences must be transitive so that if A is preferred to B, and B is preferred to C, then A is preferred to C. Suppose that Marsha, Jan, and Cindy individually have...
-
A random sample of 10 houses heated with natural gas in a particular area, is selected, and the amount of gas (in therms) used during the month of January is determined for each house. The resulting...
-
Use a computer algebra system to approximate the value of the following integrals. Ve x' In x dx
-
Use a computer algebra system to approximate the value of the following integrals. -2x2 dx -1
-
Let and note that I = 0. a. Complete the following table with Trapezoid Rule (T(n)) and Midpoint Rule (M(n)) approximations to I for various values of n. b. Fill in the error columns with the...
-
There is a negative association between the supply of affordable housing and homeless rates in cities. If this hypothesis is correct, what change would you predict would occur in homeless rates in...
-
How many types of basic types of inventory control systems are there?
-
Basic Partnership, a cash-basis calendar-year entity, began business on February 1, 2007. Basic incurred and paid the following in 2007: Filing fees incident to the creation of the partnership $...
Study smarter with the SolutionInn App