In Exercises 1–4, assume that x and y are both functions of t and find the required values of dyl Equation Find

Q: 888 Chapter Sixteen INTEGRATING FUNCTIONS OF SEVERAL VARIABLES 1-y2 /1-x2-y2 f(x, y, z) dy dz dx…

A: To find the region of integral: ∫01∫-1-z21-z2∫-1-y2-z21-y2-z2f(x,y,z)dxdydz

Q: general equation of (z-t)dz=(z+t)dt

A:

Q: INTEGRATING FACTOR FOUND BY INSPECTION y(x²y² – 1)dx + x(x²y² + 1)dy = 0

A:

Q: You are traveling with velocity v(t) that varies continuously over the interval [a, b] and your…

A: The velocity vt of the particle in interval t∈a,b is changing continuously. The position of the…

Q: Separation of Variables: x(y +1)dx+ y dy = 0

A:

Q: 1-3x dy for y = In dx a) Find the derivative x+2 b) Given yosx = 3x. dy By taking natural logarithm…

A:

Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

A:

Q: Question number 14 in the picture please! I am just now learning rates of change

A: Let r=radius and V=volume Given that dV/dt=800 We have to find dr/dt at r=30 and r=85

Q: A particle moves with a velocity of v(t) m/s along an s-axis. Find the displacement and the distance…

A: In order to find the displacement we need to integrate the velocity function between the limit of t…

Q: JA flexible cable suspended between two vertical supports is hanging under its own weight. The…

A: The complete solution is in given below

Q: dy _ y- x y(0) =1 at the point x=0.1 dx 1+x

A: Heun's Method: Consider dydx=f(x, y)with y(x0)=y0Thenyn+1=yn+h2(f(xn, yn)+f(xn+1, kn+1)where…

Q: Beta Function dx 3) Evaluare ta) "(4 – u)". du, (h) Ans. (a) 12л. (h) п 3x -x

A:

Q: Electric Power- P= fCE,R) R2 = E %3D Eismeasured to be 10 with max error of 0.3 his measured to be 2…

A:

Q: 3 A Click Submit to complete this assessment. stion 6 Use integration by parts (formula) to evaluate…

A:

Q: EXAM Find the de (a) f(x) = SOLUT l bo noionul ow (b) y = %3D YOUR TURN 2 Find the derivative of…

A:

Q: *Related Rates dy dx A. Directions. Find the required values of and assuming that x and dt dt y are…

A:

Q: A point is moving along the graph of a given function such that dx/dt is 6 centimeters per second.…

A:

Q: Example: d'y independent Variable : x • xy? Dependent Variable : y Parameter(fixed constant) : none…

A: 1) The given differential equation is: d3ydx32-5dydx4+2xy=0 So, the independent variable is: x the…

Q: Linstructure.com/courses/1188493/assignments/2 OLOGY 1: Robins... dx 4Q1S 12QS wmparing EquItIons 1.…

A:

Q: Consider the chemical reaction model described below. dy ky? dt Rate of change of y is própor-…

A: According to question given that dydt=ky2We have to calculate for yy=60 grams, when  t=0y=18 grams,…

Q: (xy + 1)dx + (x(x+ 4y – 2)dy = 0

A:

Q: 3. The pdf of Y is g (y) = d/y³, 1< y < ∞. (a) Calculate the value of d so that g (y) is a pdf. (b)…

A:

Q: Compare the values of dy and Δy for the function. Function      x-Value      Differential of x f(x)…

A:

Q: Integrating t(cost?)e-t“dt using integration by parts with the appropriate choice of u and dv Which…

A: Given that, Take, Then equation becomes, Take,

Q: Question dx If y = x'+5 and dt dy at x = -5. dt -6, find %3D Provide your answer below: dy dt =口 %3D…

A:

Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

A: consider m  be the attached  mass  and k be the spring constantgiven  W= 20 lb   we have…

Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

A:

Q: =) A cup of water with a temperature of 90°C is placed in a room with a constan temperature of 24°…

A: given T=90oC , To=24oC, dT=90-55=35oC , dT=15 min, dTdt=k(T-To)3515=k(90-24)73=66kk=73×66=7198k=7198…

Q: question number 2

A: Solution is here

Q: integrating factors y(y^3 – x) dx + x(y^3 + x)dy = 0

A:

Q: Tutorial Exercise Find dy/dx by implicit differentiation. x +y = 9 Step 1 When finding Y dx dy = y'…

A: Differentiate wrt x

Q: Consider the problem of draining a hemispherical tank of radius H* feet that is full of water and…

A:

Q: Let y 3x². Find the change in y, Ay when x = = 4 and Ax = : 0.2 Comm Find the differential dy when x…

A: We have to solve given Questions.

Q: Exam /Math dy QI/ Find dx 1. if y = u and u = 4x2 – 2x + 5. 2. y = (x² + 4)²(2x³ – 1)3 -

A:

Q: EQUATIONS REDUCIBLE TO LINEAR FORM e^y(dy/dx+1)=e^x

A: Given : ey(dy/dx + 1) = ex

Q: test for exactness (e^x + lny + y/x) dx + (x/y + lnx +siny) dy = 0 thank you in advance

A:

Q: .Obtain the particular solution x(3xy-4y^3+6)dx + (x^3-6x^2y^2-1)dy = 0

A: We have given differential equation,  Firstly we have to check whether exact or not.  Then we obtain…

Q: Using Integrating Factors Found by Inspection. 3 ху 3 ху. 11. y(x°e" – y)dx + x(y + x°e)dy = 0

A: The details explanation is given below

Q: Using Rationalizing Substitution S- O In(y) + C O Arctan(y) + C O2Arctan(y) + C O2ln(y) + C dx…

A: ∫dxxx-1Substitute y=x-1→dydx=12x-1→dx=2x-1dy=2∫1y2+1dy

Q: 8 An acceleration function is expressed as a (s, v) = s²-. ' (v+1)³ determine displacement by…

A: a(s, v)=s2-8(v+1)3v(s)=∫0s a(s, v) dv      =∫0s s2-8(v+1)3 dv     =s2v0s -8 (v+1)-3+1-3+10s     =s2s…

Q: y(4x + y)dx – 2(x² – y)dy = 0

A: on solving this we will get the integral factor using exact differential method  that is

Q: Forward Euler's method with step h = 0.1, is applied to solve y' = = (-1+ aj)y(x) where j = v-1 and…

A: Given that the function y'=dydx=-1+ajyx                 1 where j=-1 and a is some positive real…

Q: Beta Function x dx 3/3 dy (h) 1+ 142/2 that (a)

A: In the given question, the concept of the Beta function is applied. Beta Function is expressed as-…

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To…

A: Explained below

Q: The radius of a sphere increases at a rate of dr T = 8 cm/sec. Find the rate at which the dt volume…

A: We are given that the radius of a sphere increases at a rate of drdt=8 cm/sec. Now, we need to find…

Q: An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment…

A:

Q: 4. a) Find the differential of the function f (x, y) = e*y at the point (2, 0) b) Find the tangent…

A:

Q: OSolve the exaat differential equar x+8xy)dx (4x²+l8y)dy=0

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: y(r'ew – y)dx+x(y +x²e")dy = 0

A: