1 dx -1 2x+3 a.

Q: cos v f(x, у, 2) 3D xz2 af af 2 cos y Cosv siny df = - = - = - dx x2z2' dy dz xz3 XZ af cos v %3D af...

A: Topic:- partial derivatives

Q: 5. Prove the following identity 1- cos x tan? %3D 1+ cos x

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Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Question 18 tan(2x) Evaluate: lim x+o 2sin2(x) O a. 0 O b.-1 O C. 00 O d.-00

A: Given query is to find indicated limit.

Q: ´ex+: g(x) = () ex+1,2 x+1

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Q: 1. Decide the limit: lim 2x + 3 x-3 2. Explanation

A: Solving the problem by finding the limit of the function.   NOTE :: As per our Expert guidelines we ...

Q: 2 Given f(x.y) = x?y-3xy³. Evaluate fdy O 14y-27y +C 6. O -6y³ +8y/3+ c 6x2 – 45x + C 4 2x2 – 12x+ C

A: Given that a function:  f(x,y) = x2y - 3xy3  And we find value of integration that has limit 1 to 2....

Q: II. Worded Problems 1. A rope 96 feet long is divided into ratio 3:5, find the length of each part.

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Q: Case 3: non-repeatec quadratic factor 7.x + 13 x3 + 9x Example 2:

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Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

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Q: 4. A man on a boat is located at point B on the waters, 200 meters from point A on the shoreline Lin...

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Q: Seven front liners stand in row for claiming the snacks. Combination Not Combination

A: A combination is a technique that determines the number of possible arrangements in a collection of ...

Q: dx x-1

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Q: Write a chain rule formula for the following derivative. du for u = f(x); x = g(p, q, r) ar du du ar...

A: We have to choose correct option

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. In n Σ n + ...

A: Given :∑ n=2∞ln nn+3

Q: Match the sequence with the given nth term with its graph. 10n %3D n + 1 10 2- 8 4. 主十 2 4 6 8 10 -1...

A: topic - sequence and series

Q: A curve in the xy-plane is defined by the vector valued function f(t)= (x(t), y(t)), d'y in terms of...

A: Given : x(t)=2ln(t)y(t)=2sin(-5t)   To find : d2ydx2

Q: What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8...

A: as per guidelines I can only do first 3 subparts

Q: Express the vector in the form ai + bj + ck. PĮP2 if P 1 is the point ( -6, 3, 6) and P 2 is the poi...

A:  A vectoe  from point A(x1 ,y1,z1) to  B(x2 ,y2,z2) is given as AB→=(x2-x1)i+(y2-y1)j+(z2-z1)k

Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

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Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57 whe...

A: To find the first solution, just use the trigonometrical identities and easily find the required sol...

Q: 00 Σ n2(n2 + 6) n = 1 1. n2(n2+6) =L>0 converges

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Q: Periodic Deposit $? at the end of each year Financial Goal $160,000 Rate Time 15 years |5% compounde...

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Q: Which of the following is the approximate value of e' if polynomial expansion P(x) centered at a = 0...

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. nk - 1 k> 2 ...

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Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2 ...

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Q: Tutorial Exercise Confirm that the Integral Test can be applied to the series. Then use the Integral...

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Q: Find the derivative of sin In x O sin(Inx)/x cos(Inx)/x O cos(1/x) O sin (1/x)

A: topic - derivative of a function

Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

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Q: Find the corresponding position vector. Define the points P = (10, 8) and Q = ( -1, -7). Find the po...

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Q: Question 9 Find tan'r sec?t dt A - tan²t+C B tun't + C tan" Isec*t +C_ an*r+C 4 D

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Q: 8х — 3 dx x4 + 16x²

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Q: What is the derivative of y = 34? a. y (4)(3**) b. y = 4x3 c. y = (4)(3*) In(3) d. y' = In(4x) + 34*...

A: We can answer all three subparts as below.

Q: Find the indefinite integral. sin 66 V cos 60 d

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Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: Q4 Let f : R → R be the function defined by 1 f(x) = a) Is f is one-to-one? If yes, then explain why...

A: topic - onto functions

Q: (-2) = –3, g'(-2) = 6, (f g)'(-2) = 15. Find g(-2) %3D

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Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli Line seg...

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin ...

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Q: Find F'(x) if F(x)= e^(-x^2) * x^sin(x^3)  Use logarithmic differentiation

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Q: 2. Find the general solution of this system. x' = -1 -1 -1 11

A: First we calculate eigen value of given matrix then we find eigen vector. 

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: Question 2 --> Find the Stalionary Values of the fllcwing functions and show wheher they reecesent M...

A: Note :- These are the multiple questions and according to our company guideline we can do maximum on...

Q: The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3...

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Q: Find dy/dx for: y= (sec x)/x

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2 i...

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Q: What is the volume of the largest circular cylinder that can be inscribed in a circular cone of radi...

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Q: Answer the following questions about the function whose derivative is f'(x) = Px-4) x# - 5. x+5 a. W...

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