gallons

Q: Solve the following initial value problem: Cos(t)² dy 1 dt

A: "Since you have posted multiple questions, we will answer the first question.  If you want the remai...

Q: State the order of the given ordinary differential equation. (1 − x)y'' − 3xy' + 9y = cos x

A: Given : 1-xy''-3xy' +9y = cos x To find: the order of given differential equation 

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0 fy=0⇒...

Q: Solve the right triangle. Round decimal answers to the nearest tenth. 14. 5.4 9.2

A: (a) Using Pythagoras's Theorem (Hypotenues)2=(Base)2+(Perpendicular)2 Here Perpendicular=5.4Hypoten...

Q: Let a be a arbitrary integer. Show that the rest at division of a2 with 4 is either 1 or 0.

A: We divide integers into 4 different class. Then work on each class of numbers. 

Q: A new high-speed helicopter is travelling at an air speed (that is, a speed relative to the surround...

A:

Q: please only calculate a) and b). ignore the hint

A: Given: (a) ∫-∞∞ x2x4+1 dx (b) ∫-∞∞ x2(x2+1)2 dx We have to calculate the (a) and (b)

Q: Use the Maclaurin series for e to evaluate dx as an infinite series. Determine if the series you fin...

A:

Q: how to do this

A: Function 

Q: A surface is represented by the following multivariable function, 1 f(x,y) =x +y² - 2xy-6x-3y+ 4 a) ...

A: Given function,fx,y=13x3+y2-2xy-6x-3y+4

Q: Use the Left Endpoint method to approximate the area under the graph of the function f(x) = 4 ln (2'...

A: Area 

Q: Use the method of variation of parameters to find the general solution of the differential equationd...

A: Given differential equation: d2ydx2+4dydx+5y=e-2xtanx The auxiliary equation is: m2+4m+5=0m=-4±16-20...

Q: ) check wether or not the ring 1+Vら ス is Eucliclean clemain 2

A: We know that every Euclidian domain is a unique factorization domain. Take 1+52, 1-52 ∈Z 1+52.  

Q: For each of the following integrals find an appropriate trigonometric substitution of the form x=f(t...

A: We’ll answer the first part of this question since due to complexity. Please submit the question aga...

Q: Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s o...

A:   The given situation represents in the xy-plane and let (0,0) be the origin, that represent the ini...

Q: How to do question 3

A: The given equation is, 16q=65-4l-42-2k-52 Now calculate the profit. Profit = Revenue – Cost Revenue=...

Q: please answer h and i

A:

Q: 1- Assume that x, y € R and z = x + iy € c.Calculate the following integrals using the given contour...

A:

Q: 2. Use Eigenvalue method to find the general solution of the given system dx 3x + 2y + 4: dt b. dy 2...

A: Given The given system is dxdt=3x+2y+4zdydt=2x+2zdzdt=4x+2y+3z

Q: (a) Find the power series solution of y′′ − 2xy ′ + y = 0 about the ordinary point x = 0. (b) Is the...

A: We have to find the power series solution of y''-2xy'+y=0  …1 about the ordinary point x = 0. Also I...

Q: Write a function f(z) such that a) it is entire in C (complex plane) and has at least two zeros, are...

A:

Q: what two numbers mulitplied give you 225

A: Given that , the number is 225. Note that, the number 225 is perfect square of 15. The prime factors...

Q: The deer population in a wild park Is approximated by P) -100 1+9e-0% with + measured in years since...

A: Given that, the population function is Pt=4001+9e-0.3t. Apply the limit as t tends to 0 as follows, ...

Q: 51. Use spherical coordinates to evaluate the triple integral of f(x, y, z) = z over the region

A: Triple integral using spherical coordinates is given by ∫ϕ∫θ∫ρfρ,θ,ϕρ2sinϕdρdθdϕ  We have fx,y,z=z T...

Q: (Theorem) Show that a∈Zn has inverse with respect to multiplication if and only if largest common di...

A: This request is consequence of a theorem,  Theorem: The greatest common divisor d of two non-zero in...

Q: The graph of the function f(z) is shown. a. Draw the graph the inverse function f(). 91 8- 7- 6 5 4 ...

A: Analyse the graph and find the value of function at some points 

Q: communications Systems

A:

Q: If 1 = T T (xyz – 3xy)a, + (zy² + 3x² )a, + xy a,] V(x? + y?) And B = r² a, + sin 0 aø Find |A x B| ...

A: Given: B→=r2ar+sinθaϕ It is known that r=x2+y2+z2, θ=tan-1x2+y2z and ϕ=tan-1yx. At P1, 2, 4, obtain ...

Q: Please answer

A: Given: H=2,3C*D=C∪D-C∩DC*'D=C∩D

Q: I want answer of Question #1

A: Given: R is a Euclidean ring. a and b are non zero elements of R. da<dab. To show that b is not a...

Q: Use the graph to determine the values of x at which the function is not continuous.

A: The graph is-

Q: If f(x)=x2+x   and g(x)=x-1, find f(g(x)) and g(f(x)) f(g(x)) = ? g(f(x))= ?

A:

Q: Let A = {2, 3, 4, 6, 7, 9} and define a relation R on A as follows: For all x, y e A , x R y = 3 div...

A: Given A = {2,3,4,6,7,9} xRy ⇔ 3 divides (x-y) Therefore 1)  R = (2,2) , (3,3) , (4,4) , (6,6) , (7,7...

Q: A small country had a population of 4.4×1064.4×106 in 1990. Since then, the original population has ...

A: The population in 1990 is 4.4×1064.4×106 The number of immigrated people is 7.1×1077.1×107

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

A: given matrix is                         65432158765447789103689872598541410741x1x2x3x4x5x6=120230160...

Q: a) The cubic polynomial f (x) is defined by f(x) = x² + ax² + 14x + a + 1 where a is a constant. It ...

A: (a) (i) since, x+2 is a factor of f(x) So, (-2) is a root of f(x) So, f(-2) = 0 i.e. (-2)³ + a(-2)² ...

Q: To infer the surface shape of an object from images taken of a surface from three different directio...

A: Given set of equations: 41114-232-4x1x2x3=446 Using LU decomposition, Let A=LU Here, A=41114-232-4→R...

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.