7. An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain if the depth of the oil is 25ft?

Q: Q. Let X = {a,b,c,d}, T = {o, X, {a}, {b,c,d}}. Then the topological space (X,T) is a. Normal and…

A:

Q: Math Skills Milestones A. Give the integer being described in each situation. 1. The rescue…

A: We are entitled to solve only one question at a time. As the specified one is not mentioned. So, we…

Q: (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) = Investigate…

A:

Q: SLO D. Determine the convergence/divergence of an infinite sequence/series by using…

A: Absolute convergence and divergence of the series

Q: Use coordinate geometry to prove the statem If the midpoints of a trapezoid are joined to form a…

A: consider the following trapeziod midpoints of the sides,…

Q: C) Sketch the region of integration and write an equivalent double integral with the order of…

A:

Q: Write the first four terms of the sequence: an = 3n + 4 . If a1 = 2 and a3 = 8 of an arithmetic…

A: We have to write the first four terms of the given sequence. Then, we can proceed further.

Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

A:

Q: he columns of Q were obtained by applying Gram-Schmidt process to the colum 5 -4화 || 4 오= 글 56 16 16…

A: The columns of Q are obtained from A  Therefore the columns of Q are e1=561616-12 and…

Q: during typhoon ambo, Pagasa tracks the amount of accumulating rainfall.for the first three hours of…

A: Given- During typhoon Ambo, Pagasa tracks the amount of accumulating rainfall. For the first three…

Q: 4. (a) Rayleigh's equation is y" + ((u)² − 1) y + y = 0, where is a constant. Show that differenti-…

A: Here given the system of equation u'=vv'=μ1-u2v-u

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b…

A: Given : T : P2 → M  defined by ;   Tp(t) = p(1)p(1)p(1)p(1)p(1)p(1) ,  where  P2 = at2+bt+c : a, b,…

Q: Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V1, V2, V3) such…

A:

Q: Let the vector v have an initial point at (7, 8) and a terminal point at (1,7). Plot the vector V…

A: Give that the vector v have an initial point at 7,8 and a terminal point at 1,7.

Q: Determine the volume underneath the plane f(x, y) = 3 - 1.8x over the region R, which is bounded by…

A:

Q: Solve the following equations: a) y√(1-x²)dy + x√(1-y²)dx=0 x(2 ln x+2) dy = b) dx sin y+y cos y…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Your company are designing metal trays. They will be made out of a sheet of metal which has a…

A: Perimeter = 80 cm square of side = 2cm Thus Length = x - 2y = (x - 4) cm height = y = 2 cm Let width…

Q: eccione una: a. z=2(1+j) b.z=1/2(1-j) c.z=1/2 d.z=(1-j) e.z=1/2(1+j) M8 .. n = 0 jin 플

A:

Q: 1 (t) ли И ,к≠ 0 eleccione una: . а. а = 1/2; ак b. ak ак 2кп . c. a = 0; ак . d. aj=0; ak 2кп ,к≠ 0…

A:

Q: Prove the theorems: i) "If n is an integer, and if n² is even then n is even". ii) "If n is an…

A:

Q: Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints.…

A:

Q: Multiply 874x23 using the galley method. Construct a rectangle for multiplying 874x23 using the…

A:

Q: 2. (Short-run costs, Evren wants to go into the donut business. For $500 per month he can rent a…

A:

Q: a. Write the rational number 0.3234234234... as a ratio of integers. b. Prove that if x # 0 is…

A:

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b…

A: We will use Sylvester law for finding dimension of range of T.

Q: Using the Euler method, obtain the value of y(2) with

A:

Q: elow Your ta

A: Exponential Growth In Exponential Growth, the quantity will increase very slowly at first and then…

Q: 5 Find the area under the graph of y= for x ≥ 2. 2 Select the correct choice below and fill in any…

A:

Q: Pation ET The following shows a pattern made with matchsticks. Based on the pattern, what would be…

A:

Q: Find the maximum and minimum values of z = 5x + 6y, subject to the following constraints. (S 6x + 8y…

A: maximize and minimize z=5x+6y subject to 6x+8y≤30015x+22y≤330x≤40, y≤21x≥0, y≥0

Q: ) Check the differentiability of the function f(x, y) = √√xy | at the point (0,0). Also check the…

A:

Q: x+ dz Obtain a numerical solution of the differential equation initial conditions that at x=2, y=1…

A: Solution :-

Q: 1 0 3 7 10 12 (days) r(1) (centimeters per day) -6.1 -5.0-4.4 -3.8 -3.5 4. An ice sculpture melts in…

A: According to intermediate value theorem if a continuous function, f, with an interval, [a, b], as…

Q: A. Solve the following matrices using the following methods (a) matrix method, (b) determinant…

A: Given the simulation equation,…

Q: Q5) Find the Fourier transform of: x(t)= ={Cos (nt/ (Cos(nt/t) for t| <} . elsewhere) Sketch X(f)…

A:

Q: can't understand the symbols used and the handwriting is blurry

A: Solution:- The objective is to formulate the mathematical model that minimizes the largest deviation…

Q: Using i of 9%, compare the net present worth of the net expenditures for the two proposed plans and…

A:

Q: a cottage in boracay is 12m long. 8m wide and 3m high. a naughty cockroach starts on the floor at…

A: Distance and displacement are portions that appear to intend the identical however are pretty…

Q: Suppose S is the lower hemisphere S = {(x, y, z) x² + y² + z² = 9, z ≤ 0}. Further, define a vector…

A: The given vector function is F→(x,y,z)=&lt;-y,x,x+3yz&gt;. The given surface is S={(x,y,z) |…

Q: Consider the points as shown in the table below, find fo.fi,f2 and f3 using three points formula. 0…

A: Solution: Apply 3 point formula to calculate differential. table for x and y x 0 0.25 0.5 0.75 1…

Q: Determine the Fourier series of the following functions. (a) f(x) = { 3 -2 ≤ x ≤0 0 < x < 2 (b)_ƒ(x)…

A:

Q: What can you say about z if |e|= 1. Ques

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: that set of of degree subspace of P₂ Prove or disprove all Spolynomials is 43 not? Or

A: P2 is vector space of real polynomial of degree less or equal to 2. That is P2=px=a0+a1x+a2x2:…

Q: A linear programming formulation is below. Maximize 120T + 80C Subject to: 3T + 2C ≤ 200 2T + 2C…

A: to maximize 120T+80C constraints: 3T + 2C ≤ 200 2T + 2C ≤ 180 , ⇒T+C≤90T + C ≤ 40 -2T + C ≥ 0 -6T +…

Q: For each of these collections of premises, write arguments in vertical form and test the validity…

A: In logic, especially in deductive reasoning, a controversy is legitimate if and most effective if it…

Q: Let A = {(x,y) = RXR; 0<max{|x-3], ly- 2|}<1}, then: *

A:

Q: 4. Recall that N = the set of natural numbers = {0, 1, 2, 3, ...) and R is the set of real numbers.…

A:

Q: Set up the iterated (triple) integral for the integral ]]] xy¹z³ dV where S is the tetra- S hedron…

A: We will find limits of variable and then find value of integral

Q: Prove or disprove the following statement: "For all real numbers x, y, [xy] = [x][y]." (3 marks)

A: Introduction: Two important functions are frequently used in mathematics and computer programming.…

Q: Solve the initial value problem. y' + 7y= 1, y(0) = 1 y= (Type an expression using t as the…

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.