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Q: Solve using solutions to first order differential equation.

A: Let x(t) is the amount of salt in the tank at time t. The differential equation corresponding to tan...

Q: Consider the vector field F and the curve C below. F(x, y) = (6 + 8xy²)i + 8x?yj, C is the arc of th...

A: Given : Fx,y=6+8xy2i+8x2yj curlF=∂∂x8x2y-∂∂y6+8xy2       =16xy-16xy=0 So, F is conservative field. H...

Q: Assume that you have found the optimal solution of the linear programming problem: Maximize: P = 2x ...

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Q: I need help with the following problem on parts a,b,c. a. Using fraction stripsor Cuisenaire rods, d...

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any sp...

Q: Determine whether the statement is true or false. The equationsr = 8, x + y = 64, and x = 8 sin(3t),...

A: We know x2+y2= a2 is a circle equation with radius a center at (0,0). So, x2+y2= 64=82 is the equati...

Q: Consider the graphs below: a) Identify all paths from vertex vị to vertex v3. b) Determine the diame...

A: (a) The paths from vertex v1 to v3 are, pathv1v2v3pathv1v2v5v2v3pathv1v2v4v3pathv1v2v4v5v2v3 (b) The...

Q: answer it as soon as possible.

A: Note: There are many subparts in the question. So I will answer the first one subparts in the questi...

Q: Evaluate S Sx y dx dy, over the region in the first quadrant given between the following curves

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Q: b.) C d rem d into onvert the double intenaral ral& part dinto rom par pola r (oordingtes You do not...

A: The solid is Obtain the intersection curve as follows:  As z=2x2+y2 and z=8-x2-2y22x2+y2=8-x2-2y2⇒x...

Q: Describe a differentiable bijective function from {(x, y) ∈ R^2 |x^2 + y^2 < 1} to {(x, y, z) ∈ R...

A: Hey in order for you to understand better we have attached pics of the solution rather than stating ...

Q: Subject:Numercial Method

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Q: I really need help understanding this question, it's a word problem, I've had experience with this t...

A: Given,           A rectangular rug is placed on a rectangular floor. The width is 4 feet greater tha...

Q: Show the solution to x' +x-1=0 algebraically is 1/3 1/3 9- 193 X = 9+ 193 + =.68232 18 18

A: The objective is to to show that the solution of the equation: x3+x−1=0 isx=9−93181/3+9+93181/3=.682...

Q: sin 45. cos 60 + sin 60. cos 45 sin(... ) ... .. (a) sin 105 (b) sin 60 (c) COS 105 (d) cos 45

A: first we will solve the expression sin45. cos60+sin60. cos45 we know that  sin45=12cos60=12sin60=32c...

Q: 1 4 Write an equation of the form y = a sinbx or y= a cos bx to describe the graph below. 3- 2- 2n -...

A: The given graph has been clearly labelled for our convenience 

Q: Find the volume of the solid bounded by the graphs of the sphere x² + y² +z? =16 and the cylinder x+...

A: Given solid is bounded by sphere x2+y2+z2=16 and cylinder x+y-22=4 Volume using cylindrical coordina...

Q: * Show a sketch, for problems * All integrals should show set-up, and then given in integrable in...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Solve the following question using concept of generating functions

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Find the algebraic expression for the following trigonometric expression tan(arccos 2x + arctan x²)

A: Give expression is tanarccos2x+arctanx2 We have to find the algebraic expression from tanarccos2x+ar...

Q: ineed help to solve b)

A: The rate of infection dydt is: dydt=kyP-yeat; from the given conditions. Given that: L=limt→∞yt From...

Q: Use Stokes' Theorem to evaluate || curl F. dS. F(x, y, z) = x² sin(z)i + y²j + xyk, S is the part of...

A: Here use the stokes theorem to find the integral of the function and given that the function F(x,y,z...

Q: solve y" +4y'-2y=2x^2 - 3x +6

A: The given differential equation is y''+4y'-2y=2x2-3x+6. The auxiliary equation of the corresponding ...

Q: (a) Find the length of the projection of w onto v given that w = (4,7) and v = (1,1).

A: Given: w=4i+7j, v=i+j we know that projectionp→ of w onto v is given by p→=w.→v→v→2v→  

Q: In manufacturing a medical equipment, a firm incurs costs of two types. Fixed annual costs of $ 155,...

A: (a) It is given that the fixed annual costs for the firm is $155,000 and the variable cost is $5 per...

Q: 5) [ordinary differential equations topic] Please solve the following problem Provide a well-explain...

A: Solution of heat equation for the given boundary conditions u0,t=uL,t is given by : ux,t=∑unx,t=∑Bns...

Q: a) Show that the function given by f(x) = x* + x – I has exactly one zero b in the interval What is ...

A: a)Given that fx=x4+x-1     →1f-2=-24-2-1=16-3=13f-1=-14-1-1=+-1-1=-1 The equation of tangent to y=f(...

Q: Find the Particular integral of the equation (D² + 2DD' + D² )z = e"-y

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Q: How many edges are in the graph with n nodes where every pair of nodes are joined by an edge? Prove ...

A: Given To find the number of edges are in the graph with n nodes where every pair of nodes are joined...

Q: 13) [ordinary differential equations topic] Please solve the following problem Provide a well-explai...

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Q: Use the right-endpoint Riemann sum to compute / (8 – x') dx. You may need to use the following formu...

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Q: Using any method compute for the volume of solid revolution

A:

Q: The atmospheric pressure P in pounds per square inch (psi) is given by P = 14.7 e−0.21 a where a i...

A: Let P denotes the atmospheric pressure in psi when the altitude above the sea level is a miles. Then...

Q: An artifact was found and tested for its carbon-14 content. If 70% of the original carbon-14 was sti...

A: Recall the radioactive decay formula as follows. A=A02-thA is the final amountA0 is the initial amou...

Q: (a) Use the Atbash cipher to encrypt the following messages: in Alphabet: ABCDEFGHIJKLMNOPQRSTUVWXYZ...

A: Since the second question is independent of the first question so I am the answering the first quest...

Q: 8) Let g(x) = 0∫X f(t)dt , where f is the function whose graph is given below.  a) At what values of...

A: The function f(t) is plotted as follows:Define g(x) = ∫0xf(t) dt.Now, the Fundamental theorem of Cal...

Q: Please show your work for the answer.

A: The given differential equation is                           dBdt=B1-B3500.We have to identify the e...

Q: Find the absolute maximum and minimum values of f(x,Y) = Zx(y-1) + 7 on the region above the line y=...

A: We have given f(x, y) = 2x(y - 1) + 7. Method of Lagrange Multiplier:  To find the maximum or minimu...

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.