Answer this question by showing all work and formulas used to solve: 5. Does the function f (x) = -2x³ + 2x² + x – 1 ever have a negative slope? If so, where? Explain and justify your answer. [2A, 2C]

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A: First compute the function if they are continuous then apply the intermediate value theorem.

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A: According to question,Given Function,fx = 2x-5x+1n = 4

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A: The given number,    0.2715252525........

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Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

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Q: analytically

A: As per the guidelines we can solve 3 parts only. 

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Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

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Q: 2. S csch-x coth x dx

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Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: dz 1. dz ду || 2.

A: The given function is: z=(2x+7y)12.

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Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny) ...

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas u...

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A: As per our company guidelines we can answer only three subparts question at a time, but if you need ...

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A: Solving the problem by finding the values from the graph.

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A: This is a problem of vector calculus. By using stokes theorem formula we will evaluate given integra...

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A: This question can be solved using the concept of integration by substitution and some special integr...

Q: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

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A: Answer is in step 2.

Q: Using Figure 1, complete the following function. u Figure 1 sece = v/r v/u u/r O r/u r/v u/v

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Q: 6. Consider function f(x, y) = x + y – 4ry + 1. Compute all the critical points of the function, and...

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Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: Problem Set A (1) For the function f(x)=1- 1x+2 find the following: (i) f(-x) (ii) f(x +k)

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Q: Use any method to determine whether the series converges or diverges. 00 (6k)! k=0 O The series conv...

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Q: The graph shown is f(x) = sin x. What is the integral that defines the area under this line between ...

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Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у...

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A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

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A: The rational expression,    x2+3x+3x+1

Q: Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x – 1...

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Q: 3 In?x + 1 Evaluate x (In³x + In x) 3. A 3 In |in3x + In x| + C B B In in3x + In x| + C -In lin?x + ...

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