Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west at 12 mi/h. At wha rate is the distance between the cars increasing four hours later? mi/h

Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

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A: Here, the given functions are: z=f(x,y)=(10+23x)ytan xx=13-e2e(t-1)+tan-1(t)y=(2-t)et-13(t-1)

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A: Given problem:-

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A: ∫f'(x)f(x) dx =lnfx+C ∫ax+bn dx =1a.ax+bn+1n+1+C ∫1x2+a2 dx =1atan-1xa+C

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Q: -> https://www.webassign.net/web/Student/Assignment-R000 %3D yP(x, y) dA 1. 1 2-2x (2y + 10xy + 4y²)...

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A: The given function,  f(x)=-3x+4

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Q: (1+cot 0) de sin ? e14 - cot?e

A: Our Aim is to evaluate the integral given below:-∫1+cot θdθsin2 θ4-cot2 θ -(i)

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A: The objective is to find the distance of the base of the ladder from the side of the house.

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A: the function has the properties,f(2)=2f'(2)=0f'(x)>0 on -∞,2f'(x)>0 on 2,∞f''(x)<0 on -∞,2f...

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A: Topic :- function

Q: 6. E yn x" n=1 8.5: 6 Find the radius of convergence and interval of convergence of the series.

A:

Q: 4. S(cos 2x)e$in 2.x dx 5. S cos x In(sin x) dx 6. ſ tan 0 In(sec 0) de

A: According to given : Only 4,5,6 are solved

Q: 375 + 210 Now consider the geometric series 3n" + .... Find a and r for this geometric series. 22n 2...

A: 3π3/26 +3π4/28 +-----------+---  Find a , r and sum of the geometric series.

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Q: Jrin m In(cos m) dm

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Q: 6+ r Given f(x) = find f'(x) using the limit definition of the derivative. 7+1 f'(x)=

A: By limit definition of derivative f'(x)=limh→0f(x+h)-f(x)h       f'(x)    =limh→06+x+h7+x+h-6+x7+xh ...

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Q: 1. a) Consider the function z = t², in which t = x – y. Use chain rule to compute dz the partial der...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: Use any method to determine whether the series converges or diverges. 00 Σ k3 + 512 k=1 O The series...

A: Given query is to find series converges or diverges.

Q: QUESTION 3 Suppose that z= xy, where x=2t+4 and y=s+3t. Find Oz at the point (s.t) = (5, - 1) at Oa ...

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A: This question is based on Annual payment formula.

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A: We have to prove that the above series converges or diverges.

Q: Find all local maxima, local minima, and saddle points for the function: f(x, y) = x – 6xy + 8y

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Q: MY NOTES ASK YOUR TEACHER Find the fluid force on the vertical side of the tank, where the dimension...

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Q: Which of the following is a valid formula for the instantaneous rate of change of the function f(x)=...

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Q: Use any method to determine whether the series converges or diverges. VE 00 Σ k=1 + 27

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Q: Marvin won a $200 gift certificate from a local car wash. Every time he gets a car wash, it costs hi...

A: Given:   Won = 200     Cost = 8.95

Q: Find an equation of the plane tangent to the surface 9x +y - 20z= 0 and parallel to the plane 8x - 6...

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Q: What is f' (x) when f(x) = 5e4x? %3D Select the correct answer below: O f'(x) = 5e4* O f'(x) = 20etr...

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Q: he perimeter of a rectangle is 28 feet. Let one side be x feet long. Show tha o value of x for which...

A: Given: - The perimeter of a rectangular is 28 feet. Let one side be x feet long. To show: - There is...

Q: End the taylor series for fcz) = centered at a= 2

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Q: If f(x) = - 3x + 6x + 3, find the instantaneous rate of change of f(x) at x = 0. Answer =

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Q: It is a special type of Taylor series such that a = 0 O Taylor Series Harmonic series O Maclaurin Se...

A: The objective is to find the maclaurin series.