An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius of the cylinder is 14 ?? and its altitude measures 30 ??, what is the surface area of the observatory? If 1 ??? of paint covers 300 ??2 , how many gallons are needed to paint the surface if it requires two coats?

Q: Consider the following function. g(t) = 2t2 − 4;  dg dt     t = 5 (a) Use the lim...

A:

Q: What do you learn about one to one and inverse function

A:

Q: Make a tree diagram to show all the possible sequences of answers for three multiple choice question...

A: Given that, there are three multiple choice questions, each with 4 possible responses. The required ...

Q: Laplace transform solve: y'' + 4y'- 5y = u4(t)       y(0)= 0           y'(0) = 0

A:

Q: (-2 2)3 (-6, 21 (9,-2) (5-2)

A:

Q: Please include all details & steps.

A: Given:-             Suppose that v 1 =(2, 1, 0, 3), v 2=(3, – 1,5,2), and v 3=(-1,0, 2, 1). Which of...

Q: A path is 2 meters wide and n meters long. It is to be pave using paving stones of sizes 1m x 2m and...

A: 2×n path with two type of tiles which are : Let pn denote the number of 2×n paths. PART A The value...

Q: 0 = 0 1 = 1 2 = 10 3 = 11 4 = 100 5 = 101 a) Find 15                                   b) What langu...

A: Given the conversion of number systems, 0 = 1 2 = 10 3 = 11 4 = 100 5 = 101 Here decimal number is c...

Q: 2. After catching sight of a particularly adorable online video, the Small Monster collector has beg...

A: a)  Given word is CALLITRICHIDAE      Total number of letters in this word is 14.       Number of ti...

Q: A landscape contractor is hired to cultivate ornamental plants in three new residential developments...

A: Consider the given data. Let x = Cost of each tree y = Hourly labor charge z = Fixed delivery charge...

Q: Let S be a nonempty set. The collection of all subsets of S is called the power set of S and is deno...

A:

Q: Choose one of the correct options

A: We are given a differential equation xdydx=x-6yx-y2. Rearranging the terms of this equation, we can ...

Q: A secant line is one that intersects a graph at two or more points. For the graph given, find an equ...

A: the secant line pass through the point -2,5 and 5,0 the equation of the line is calculated using the...

Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that poi...

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the valle...

Q: (3) Using Hilbert-Schmidt theorem, solve the following integral equation: (1) y(=) = (x+2)*+ / (zat+...

A: Given integral equation, yx=x+22+∫-11xt+x2t2ytdt          ...1 Here fx=x+22, λ=1 Firstly find the ei...

Q: Find all values of a (if any) so that the given vectors form an orthogonal set. (Enter your answers ...

A:

Q: This year your family is hosting the family reunion. And for your young cousins you want to install ...

A: It is given that, the wading pool is to be 1.5 feet deep. Diameter of a circular pool is 10 feet. Th...

Q: Not sure how to do number 39.

A: From the given diagram note that, the dove tail is in the shape of a parallelogram. It is known that...

Q: Consider the function the following rational function 10+ 6 4 -8 -6 -4 -2 4 -2- -4- -6- -10+ 1. The ...

A: 1. From the given graph, it is observed that the equation of the horizontal asymptote for this funct...

Q: y = x tan(x+C) eliminate the arbitrary constant

A:

Q: Use a change of variables to find  double integral R = sqrt((x-y)/(x+y+1)) dA, where R is the square...

A: To find the double integral by using the change of variable method, we know the formula for change o...

Q: A virus infects by contact and is more contagious during winter. if you are first infected, you will...

A: A virus infects by close contact, is most contagious during the winter, and everyone who becomes inf...

Q: Paul correctly predicted the outcomes of 12 out of 14 games a) If Paul was just ``guessing", and for...

A: Paul has to correct 12 out of 14 games. So, n=14x=12

Q: Can someone help me lead to the solution?   My answer came out to be u(0,x)=f(x)=cos(x-2t)/2

A: Consider the equation

Q: 3. Is the statement ~(p V q) the logical equivalent of p +q ? Use a truth table to demonstrate you a...

A:   p q p ∨ q ~(p ∨ q) p→q T T T F T T F T F F F T T F T F F F T F   Hence, ~(p ∨ q)  an...

Q: Let S be the part of the cylinder x2 + y? = 9 in the first octant under the plane z = 2. Assume S is...

A: Since S is oriented outward, n=xi+yja. Now, a = 3 , from  x2+y2=32 x=3cosθ, y=3sinθ, z=zdS=adzdθAlso...

Q: 16.5 - #11

A: Let the vertices of the triangle be A( 1,0,0), B(0,1,0) and C(0,0,1). AB→=-1,1,0AC→=-1,0,1 The norma...

Q: 9. Use numerical integration to find the first ten terms in a Fourier series for the function sin x ...

A: Given: The Fourier series includes the numerical integration being the function of sin x2 that inclu...

Q: In attempting to fly from city P to city Q, an aircraft followed a course that was 10 degrees in err...

A: Given: Aircraft followed a course that was 10 degrees in error. Constant speed of the aircraft is 25...

Q: Rewrite the following function in the form y = A0eat for the appropriate constants A0 and a: y = 17(...

A: We are given a function y = 17 (2t). We have to re-write it in the form: y=A0eat At t = 0, y = 17 (2...

Q: Solve

A:

Q: Help me fast......I will give Upvote.....

A: De Moivre's theorem states that: cosθ+isinθn=cosnθ+isinnθ for all integers n. Also, it extends to: r...

Q: (b) A firm has an average cost function A(q) = 125 q + q 2 16 − 4. where q is the firm′ s output. (i...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a ...

A: Given that the cost of production per soap is 10 cents and that per liquid soap is 20 cents. Let x1 ...

Q: How can you graph this please

A: The graph of given function y = 4 sin(π4x)

Q: Thank you for the help ahead of time!

A:

Q: What is the range of the following: 35, 56, 70, 29, 11, 45 Round to 2 decimal places as needed.

A:

Q: Could you explain how to show 8.28 in detail? I also attached definitions and theorems in my textboo...

A:

Q: Evaluate the following expressions. Your answer must be an angle in radians and in the interval - 2'...

A: (a) Evaluate the value of sin-112 as follows. sin-112=π6                                    sinπ6=12...

Q: Solve the problem on the applications of differential equations.

A: Given Mass=1000 kg of a 10% salt solution Tinput=2okg/minute→2o% concentration Toutput=1okg/minute  ...

Q: 8) (a). (8pts) Find a general solution to y" – 6y' + 9y = t-³e³3t by using variation of parameter me...

A:

Q: Find the x-value of all points where the function below has any relative extrema. Find the value(s) ...

A:

Q: Polynomial Function of  Data y = 1.2889x3 - 358.53x2 + 48536x - 34188 What is the second derivat...

A: First we need to find inflection point:

Q: Solve the following. Additionally, comment on the behavior of the solu- tion(s) as t → o. (a) 3 2 4 ...

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first q...