PROBLEM6 Let f (x) = 4x' – 81x² + 486x – 811.

Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: 17x-6 - dx x² -x² - 6x 2.

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Q: 1 X-X -dx ах 3, -8 2vx

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Q: •2 1 -dx- J-3 (x + 7)(x² + 16)

A: Given integral is Apply partial fractions to break the denominator

Q: 2 3 -x³ dx 10

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Q: factor this derivative: 2/3x-1/3(x+4)2+x2/3 2(x+4). must show all steps

A: Solution -    Given equation -  f(x) = 23 x-13x+42+2 x23(x+4) = 0 f(x) = 2 x+423 x13+2 x23(x+4) = 0…

Q: Prove : (x2 + 2x + 2 )dx > 0

A: The given integral is ∫-10x2+2x+2-x2dx The integral has been rewritten∫-10x2+2x+12x2dx Apply…

Q: y= In 3x +1 %3D 2x-5

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Q: .3 y = 2x + 5x from the point (-2,-26) to the point (4,148), you'd have to compute | f(x)dx

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Q: 1 + cosh 2x 9. cosh² x 2

A: To prove the identity

Q: 10x-9y-0-11 the same as -10x-9y+11? Or is it just -10x-9y-11 when finding Partial Derivative?

A: Reprieve is to clarify the doubts.

Q: 44. (-x + 4x – 5) dx -2

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Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

Q: Find the derivative of (2x^3+3x+1)^1/3

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Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

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Q: 2x +9 Find- , if y = dx x-5x+1

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Q: Problem 1: Use the second derivative test to classify the critical points of f(x) = x³ – 9x + 2

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: -7, 2x (x2 + 1)dx

A: We can find the integration as below

Q: 5 ,2 X |x² + x – 6| dx -5

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Q: -2x +5 Evaluate 10-4x -2y dy dx 3x 25 3

A: The given integral is: ∫01∫3x-2x+5(10-4x-2y)dy dx

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: 19-x² dx 2

A:

Q: order

A: Given function is: fx,y=cos2xy2-3x2y3 Then we get,…

Q: 3 y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx a

A: Given function is                                                        y=2x3+5x we have to find…

Q: 5x - 3 √(x+ - 4x³ + 14x² - 20x + 25) - - dx

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Q: 3-4x-10 x²-x-6 dx.

A: Given integral ∫x3-4x-10x2-x-6dx. The objective is to evaluate the integral.

Q: EXAMPLE 7 If it is known that '5 f(x) dx = 11 and f(x) dx = 10, find f(x) dx.

A: It is given that, ∫08fxdx=11 and ∫05fxdx=10.

Q: 4) f(x) = sec-(1+x²) %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (6x-y > -3 13. ly>x-2 14

A: First draw the two straight line 6x-y=-3, y=x-2.

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: Evaluate ·S dx 2 ²√x²-9

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Q: - Evaluate f 2*+1-5x-1 dx 10*

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Q: How  do you get the derivative of (6-18x^2)/((1+3x^2)^2)?

A: Given function is

Q: Evaluate 2x-4 (x-3)(x-1)(x+3) -dx

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Q: b. f(x) = 4/x(2x° -4x° %3D

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Q: solve lox t lox- =011 0.1

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Q: ¹₁¹+x² x + 2y dy dx -12x²

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Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: 13) [[sech x – csch x }°dx

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Q: Evaluate [f'(3 - 2x)- 4] dx. -1

A: Let I=∫-10f'3-2x-4dx. Use the difference rule of integration two separate the integral I into two…

Q: Show that 5x – 2 3 + C X - 1 dx = 5 In |x - 1| x2 – 2x + 1

A: We have to solve

Q: x3 – 3x2 + 5 f (x) = x3 + 1

A: We have to find derivative

Q: 10x-25 -dx x²–3x-4

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Q: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: 20. Find f2x/(5x-3)dx

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Q: 9, (x2 + 2x - 5) dx

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.