Find the total differential. w = 3xy2 − 2x3yz2

Q: If f is continuous and {an} is a sequence such that the limit lim an = L n➔ oo exists, then lim f (a...

A: Given: f is continuous at L.  an is an sequence such that limn→∞ an=L exists Now we have to prove th...

Q: Solve by the square root property:     a. 3x2 - 21 = 0           b. (x + 5)2 = 11

A: a) Given- 3x2-21=0 To solve- The above equation by square root property. Identity Used- The above qu...

Q: Solve the exponential equation 9e5x = 1269. Where necessary, express the solution set in terms of na...

A: 9e5x=1269 Concept ln e=1

Q: Evaluate the limit, if it exists.

A: We have to evaluate the limit: limx→164-x16x-x2 It is 00 form, since there is square root function i...

Q: 23-5.7

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Q: For all x > 0, there is a unique value y = r(x) that solves the equation y 3 +4xy = 16.(a) Show t...

A: Given: The equation is: y3+4xy=16 a) We have to show that dydx=-4y(3y2+4x): Consider, y3+4xy=16 Diff...

Q: Derivatives Evaluate the following derivatives.

A: Let the given function be y - y = x2xTaking log on both sides - logy = logx2xlogy = 2xlogx          ...

Q: Evaluate the integrals. ∫x7√(x4 + 1) dx

A: The given integral is ∫x7x4+1dx.  

Q: Integration Evaluate the following integrals.

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Use series to approximate the definite integral I to within the indicated accuracy. dr. Jerror <0.00...

A: Given I=∫00.8x31-x3+x62-x96+.......dx we know that ex=1+x+x2+.......... e-x3=1-x3+-x322!+-x333!+.......

Q: Solve and graph the solution set on a number line. 3 |2x + 6| - 9&lt;15

A: 32x+6-9&lt;15

Q: our restaurant bill totals $46.73. You leave an 18% tip for the waiter. How much money did you tip t...

A:

Q: Solve the system of equations by any method. -4x +32y 12 x- 8y= -3 Enter the exact answer as an orde...

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Q: Graph the points with the following polar coordinates. Give two alternative representations of the p...

A: Given- 3,2π3 To graph- The given polar co-ordinate and give two alternative representations of the p...

Q: simplify ( variables represent nonzero real numbers) ? (2x-3yz-6)(2x)-5

A: amn=amna-m=1am

Q: Consider the following points P and Q. a. Find PQ and state your answer in two forms: (a, b, c) and ...

A: Given points are P3,8,12 and Q3,9,11. a). To find PQ→ PQ→=Q-P=3,9,11-3,8,12=3-3.9-8,11-12=0,1,-1 Now...

Q: 19-5.5

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Q: Find the point on the line -5x + 4y-1 = 0 which is close! oint (-3, 4). lint: - Part 1: Write y as a...

A: We have equation of line is -5x+4y-1=0 Then, y=5x+14 Let the point on the line be px,y  

Q: 5.2.2Please show me all steps

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Q: A differential equation is said to be exact when ôM/ðx = aN/Əy where M and N are its corresponding c...

A: -M=2lnx+xy-3⇒M=-2lnx-xy+3⇒∂M∂x=-2x-y N=3x2y-lnx+3y⇒∂N∂x=3x2-3x+3y

Q: a concrete beam is to rest on two concrete pillars. the beam is cuboid with sides of length 0.5m, 3m...

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Q: 9.-5.7

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Q: 26-5.4

A: Part (a) The given expression is, F(x)=∫0x(t+5)dt Integrate the expression implies, F(x)=t22+5t0x=x2...

Q: Find the 2021st derivative of the following function: y=cos(x) + sin(x) + e* A cos(x) + sin(x) + 100...

A:         Definition used-                         dndxn(cosx)= cos(x+nπ2), dndxn(sinx)= sin(x+nπ2)   ...

Q: Your restaurant bill totals $46.73. You leave an 18% tip for the waiter. How much money did you tip ...

A: Given Total bill amount=$46.73

Q: Define Sturm-Liouville Eigenvalue Problem for Inner Product Space ?

A:

Q: (a) express dw/ dt as a function of t, both by usingthe Chain Rule and by expressing w in terms of t...

A: (a) Consider the provided equations, w=2yex-lnz, x=lnt2+1,y=tan-1t  and z=et ; t=1  Express dwdtas a...

Q: In your own words, state the guidelines for implicit differentiation.

A: We have to state the guidelines for implicit differentiation.          

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.