Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2 - 5y, (1, 2, -4

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A: Topic:- partial derivatives

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Q: Points] DETAILS ate the integral. (If the quai 0. хр +1

A: Evaluate the integral .

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Q: (a) Evaluate sin 2z -dz, 3z -ĝi where C is an anticlockwise unit circle centred at the origin.

A: Follow the procedure given below.

Q: 10) Determine whether the series converges or diverges. 5 2'n!

A: Ratio Test :Suppose we have the series  ∑n=1∞an , Define,                L = limn→∞ an+1anThen,(i) I...

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A: We need to find inverse function.

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

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Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

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Q: a) Evaluate in terms of Gamma function ∫e^(−y^2) y^13 dy   limit 0 to ∞ b) Find ∫f(x) dx limit: 1 t...

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Q: Given C = 1850 + 5000e(29+6)/800 find dC dg | 9=200

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Q: Use the Quotient Rule to find the derivative of the function. f(x) = f'(x) =

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Q: (a) f(x) = Vx cos æ² 2x (b) f(x) = x2 + 4

A: Given  problem :-       To find:- Differentiation of given functions

Q: DIFFERENTIAL EQUATION: Non-Homogenous Linear Differential Equation with Constant Coefficients # 6 on...

A: Follow the procedure given below.

Q: .Use the vertex and y-intercepts to write a forr - -2+ -3+ -4- -5+

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

Q: Evaluate: x In a dx

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Q: Don’t skip any steps please Polonium-210 has a half-life of 140 days. It decays exponentially, where...

A: Half life is 140 days, initially amount 100mg

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fy - ở² f_ (b) Find дхду

A: f(x,y)=xy+x+x cos y

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A: Given that: ln(cos23x)=ex+y+sin-1y

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Q: Use any method to determine whether the series converge. (a) E 6k k=1 The series 1 (b) 6k + 1 k=1 Th...

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

Q: piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is ben...

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Q: 12) Find the exact length of the curve [4,16] on 3

A: We can find the exact length of the curve as below,  

Q: y= 3x³etan ( – 4x)

A: Topic:-  derivatives 

Q: (D3 – D2 + D – 1)y 4 sin x

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Q: 13) Find the radius and interval of convergence of the power series (-2)" (x+3)" 3

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Q: gent subsequer O an = (-2)" O an = 1+ (-1)" · 10(-1)"-n n sin () %3D O an = O an = 1+2· (-1)"

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Q: Find equations of the tangent lines to the curve 2y² + xy – 3x² 8 at the point or points where x = 0...

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Q: • What restriction (on x or y) does dy have? What dx point (x, y) does this correspond to? • Find th...

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Q: Find the dimensions of a rectangle with area 1,331 m² whose perimeter is as small as possible. (If b...

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Q: Southern Traditions sold the home decor division of their company 8 years ago and immediately invest...

A: Topic =Algebra

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) f(x...

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Q: 4. How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y+ z =0 2y -...

A: Follow the procedure given below.

Q: Given the function: f(x, y, z) = x²yz + xy+ +1 find: fz(1, 2, 3)

A: We will find fx1,2,3 in the following step.