For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

Q: Selecting 3 balls from a box containing 6 red balls and 4 blue balls. Combination Not Combination

A: We will find the given condition is a combination or not a combination in the following step.

Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

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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: ind the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y

A: To find the solution of initial value problem

Q: f(t)=t2 and g(t)=t, then the Wronskian W(f,g)(t) is: (A)-t2 (B) t-t2 (C) t (D) t2

A: Given query is to find Wronskian W(f,g)(t).

Q: The Maclaurin series of the function f(x) = 3a?e-9z %3D Σ can be written as f(x) = Cna" %3D n=0 wher...

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Q: initial-value

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Q: What is the equation of parabola in standard form with focus F(- 2, – 1) and directrix y=3? A(y-1)2 ...

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Q: A particle moving along a curve in the xy-plane has position (x(t), y(t)), at time t > 0 where v(t) ...

A: solution:-v(t)=-2ln(t2+8), -10e-8tcos5tat t=5v(0)=-2ln(52+8), -10e-85cos55       =-2ln33, -10e-40cos...

Q: Let y(x) be the solution of y' = y − 6x such that y(2) = 2. Using a step size of 0.5, set y0 = y...

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Q: a. Find the local extrema of the function f(x) = 3 cos 4x + sin 4x on the interval 0 sxs and say whe...

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Q: For the function f(x) = 5x° – 7x + 13x+ 3, find f'"(x). Then find f"(0) and f"(3). ... f"(x)= your c...

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Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³ ...

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Q: Find the first, second, and the third derivatives of the following functions: f(x) = (-x* + 4) . -4x...

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...

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Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

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Q: 4. The area of a certain square exceeds that of another square by 55 square inches. The perimeter of...

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Q: Sy sin 3ydy

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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: How many distinguishable ways can you arrange the letters in the word ACCOUNTANCY such that all vowe...

A: topic - permutation and combinations

Q: 01:42 d. Calculate the area enclosed by the curve y = 2x2 +3 and the x-axis between x = 0 and x 2. 4...

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Q: Answer B, Designing a Norman Window ANorman window has the shape of a rectangle surmounted by a semi...

A: Given that Radius of semicircle=x length of ractangle =ywidth of ractangle=2xperimeter of window=28 ...

Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: 5x4÷5+1

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Q: 12x Find a power series for f(x) = |x| < 1 in the form E an. (x² + 1)* n=1

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Q: 5n-3 Find the sum of the series: n!

A: The given series is sum of x5n-3/n! ,n from 0 to infinity.

Q: The general solution to the initial value problem y′′+4y′+4y=0, y(0)=2, y′(0)=1 is y=c1ert+c2tert...

A: If the roots m1,m2 =m are real and equal of the auxiliary equation then complete solution is  y = c1...

Q: Find the interval of convergence of the series. Σ * (5x)" 2" n=1 (Use symbolic notation and fraction...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Find the equations of a Tangent line in a given curve to the given value of x y=tan^-1 x, x=1

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 so the point on the gr...

Q: Write the Taylor series for f(x) = e" about a = 4 as en (x – 4)". n=0 Find the first five coefficien...

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Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT sit...

A: Given problem:- In how many ways can ten people be seated around a circular table if three of them i...

Q: Evaluate the following limits. 1. lim cos2x = X- 2. lim tan3x = 4 3. lim[log3 2x] = %3D

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Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

A: According to guidelines we solve only first question. 

Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

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Q: Write the following expression in algebraic form: sin(arccos (6x)) V1-36z2 O VI – 36x² O VI – 6x² O ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If ...

A: Given:    Limit equations is given

Q: A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and 4y...

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Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 5" Then determine whether the...

A: The given series,∑n=1∞xnn3.5n

Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: (– 1)"497+2 n! Find the sum of the series: n=0

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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: What is the equation in standard form of an ellipse whose center is at C(-3, 1), a vertex at V(-5, 1...

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the ellipse is given ...

Q: 2r -3 (x – 1)²(x² + 1) – x dx = -arctan(x) – 1 - In |x – 1|+ 2(x – 1) 1 + C 2 x -1 -

A: Prove that  ∫2x-x3x-12x2+1dx=-32tan-1x-1x-1-lnx-1+12x-1+cSolution :2x-x3x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1...

Q: Find the maximum and the minimum values of f(x,y,z) = 2x - 7y+7z on the sphere x² +y2 +z? = 102. ......

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 9n + n 8n -...

A: The given series is: ∑n=1∞9n+n8n-1 Let, an=9n+n8n-1, n≥1

Q: Suppose g is a function which has continuous derivatives, and that g(2) = 5, g'(2) = –5, g"(2) = –1,...

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Q: A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in t...

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Q: Determine the present value P that must be invested to have the future value A at simple interest ra...

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Q: The following three lines do not have a common intersection: x + y = 2, x – y = 5 and x + 2y = 6. Ho...

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