19. Give the midpoint approximation of xdx with n = 2.

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Q: 16. u du Form Answer .Given: S 10% -dx а) 3 | а" du Find: formula b) | a"du c);| a*du d) =| a"du

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Q: 3. (3 marks) Given that u(x, y) = f(y- a) +g(y +x) is a general solution to Uzz = Uyy, %3D for twice...

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Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Evaluate the integral S dx 2x3 - 3xx 1 -In 2/2 "I/3x + /2 +C En(2 { x³ - 3x x)+c 1 V2 + V3x -In + C ...

A: First we take common x3/4 then put√x=t  And using integration of 1/a2 - x2

Q: Identify all three (distinct) solutions to the equation z3 = 27i. Write your answer in x + iy form.

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Q: u du Form Answer Ex. S 3+ 2cosx 5sinx 5 -5V3+ 2cosx + C dx 3+ 2cosx -2sinxdx ī du 3 15. Given: S -dx...

A: This is a integration problem

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A: Differential equation

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Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

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A: A(t) =integration of R(t) dt  Amount for three years put t=3

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Q: Evaluate the following. Use the graph of f(x) to evaluate the following expressions. (4, 5) (1,5), (...

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Q: Find range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph    

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A: Using Bernoulli equation. Follow step 2nd . 

Q: 2x2 + 3r +2 2 +2

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Q: Q10

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: Solution is here

Q: Evaluate the integral cot 2x dx cot2 2x - 15 -금사 csc 2x +C A Arcsec 4 B -In/cot 2x + cot? 2x – 15|+C...

A: Here, the given integral is: I=∫cot 2xcot22x-15dx

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Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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A: Given integral is: ∫2ln x g(x) dxsuch that for u = ln x∫2ln x g(x) dx=∫2u duFind g(3) This can be ev...

Q: 17. Let f(x) - (x- 3)Show that there is no value ofc in (1,4) such that /(4) not contradiet the Mean...

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Q: 1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

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Q: (9 – x² , x 10 [x – 4] (a) f(2) (b) f(12.5) (c) f(-3) (d) f(5) (e) f(1.5)

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Q: Evaluate the integral cot 2x S- Vcot2 2x – 15 V cot? 2x

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A: dIdW=0.0634.6-I  

Q: d*y 4. Find 5 of the function f (x) = - e dz"

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Q: Evaluate the integral cot 2x Xp- Vcot2 2x - 15 -금ArCsec Csc 2x +C A 4 -nlcot 2x + Vcor 2x - 15|+C co...

A: This question is based on indefinite integral.

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Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz ...

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Q: 4x3 %3D 1. mtegrate. de - aya dx 4x3 du = 4x° dx %3D Jxt -2 xp: こ -112 du te 2(x*- 2) ° +C %3D %3D

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Q: 11. What is the lim (5x? – 4x + 3)? x-2 А. 13 В. 14 С. 15 D. 16

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: Find the radius of convergence of the power series. (If you need to use co or -, enter INFINITY or -...

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Q: 6. Suppose a bakeshop purchased an equipment worth P 100,000 equipment, which was expected to last f...

A: Cost of the asset = 100,000 Salvage Value = 8,000 The useful life of the asset = 5 years Depreciati...

Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

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