Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an answer does not exist, enter DNE.) f(x) = x4 – 8x3 + 9 relative maximum (х, у) - relative minimum (х, у)%3

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Q: Cones ider funcho s fa)= 4/x-2J two important opeN intervals There are -0,A) and (A, ) where A is a ...

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

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Q: sin? 0 = 4 1 Add file sin 20 – cos 0 = 0 1 Add file

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Q: On] and g. Be sure to put a scale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3...

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Q: 1. Evaluate each of the following limits. Simplify your answer completely. Show work or explain your...

A: Put x=1, as the denominator is a definite value

Q: 5 + 4x 35. у - %3D х+3

A: Find where the expression 5+4x/x+3 is undefined.   At x = -3 function is undefined    n = m = 1

Q: 3 The altitude of a triangle is increasing at a rate of 8 cm/s while its area is increasing at the r...

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Q: ) Rationalize the denominator of

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Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,-2). 4.

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Q: Find all vertical and horizontal asymptotes for the function h(x) given below. Write yo answers as l...

A: Here we have to find the equation of all vertical and horizontal asymptotes. The given function is h...

Q: Recall that, for any continuous function f(x), the definite integral (x) dx gives the area under the...

A: Solution is written in below steps.

Q: 5 1 Find the equation of the tangent line to the curve y = 11 at its point of intersection with 6 x²...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

A: To answer the given questions using the given details.

Q: a) A guy picks up a positive rational number and multiplies it by itself three times i.e. he calcula...

A: A guy picks up a positive rational number ab

Q: 2. Use Integral Test to determine whether the series converges or diverges. { (n + 2) n=1

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Q: Two fixed sides of a triangle are 13.3 m and 23 m in length and the angle between them is increasing...

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Q: Determine the interval(s) where f(x) is increasing and identify any local maxima. Complete the table...

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Q: Write in logarithmic form. 10 5 100,000 3 243 O A. log 10/3 100,000 = 5 243 100,000 O B. log 10/35 =...

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 2...

A: We have to find the Maclaurin series for the given function                                         ...

Q: Given: 1. v = 2i – 4j + vV5 k, u = -2i + 4j – V5 k 4 2. V = i+k, u= 5i + 12j Find: |n| Ja| 'a.n b. t...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: The graph below is the function f(r) 5+ 4- 3. -5 -4 -3 I 2 3 4 5 02+ -3+ -4 -5+ Find lim f(x) = I→ -...

A: limx→-1-f(x)=2limx→-1+f(x)=2

Q: -x – 2 2x + 8 f" (x) = f(x) = (x – 2)² f' (æ) = %3D (x – 2)³ ' (a – 2)4 Find the domain, intercepts ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du   ...

Q: 8) A table of values for h(t) on the interval [0, 10] is shown below. Use a left-endpoint rectangle ...

A: Explained below

Q: 8. if I – 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = エ} ...

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4 (d...

Q: An employee wants to invest $60,000 in a pension plan. One investment offers 5% compounded semiannua...

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Q: If f(x) 5 tan (7 sin(2r)), f'(x) =

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Q: 23 456789 10 1213141516171819 -5 -6 -7 -9 O o7 O54 32

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Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the directio...

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Q: Determine whether the following series converges. k E (- 1)k +1, 22k + 1 k=1 Select the correct answ...

A: Heren the given series is: ∑k=1∞(-1)k+1k22k+1  

Q: 2. f (x) = (x³ – 2a² + – 6) (2a² – 2x + 4) - -

A: Given problem:- f(x) = ((3/4) x3 - 2x2 + x/4 - 6)(2x2 - 2x + 4) Find derivative using product rule