1. Consider the following curve f(x)= X^3 - 5x^2 +7x-5 Find the coordinates of the minimum and the maximum.

2. The curve y= x^3 + ax^2 + bx + c has a relative max at x=-3 and a relative minimum at x= 1. Find the values of a and b.

3. Find the equation of the perpendicular line to the curve x^2 + 2xy - 2y^2 + x=2 at the point (-4,1)

4. Find the slant asymptote f(x)= (4x^2 - 2x +5 / 2x - 1)

Expert Solution

milcah answered 2 years ago

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?

Find the local maximum and minimum values and saddle point(s) of the function. f(x,y)=5-10x+12y-5x^2-4y^3

Find the relative maximum and minimum values. a. f(x,y)=x^3-6xy+y^2+6x+3y-1/5 Relative minimum: at Relative maximum:...

Find the relative maximum and minimum values. a. f(x,y)=x^3-6xy+y^2+6x+3y-1/5 Relative minimum: ________ at ________ Relative maximum: ________ at ________ b. f(x,y)= 3x-6y-x^2-y^2 Relative minimum: ________ at ________ Relative maximum: ________ at ________

1-f(x) =1/8(7x-2), x ≤ 3 a-absolute maximum value b-absolute minimum value c-local maximum value(s) d-local minimum...

1-f(x) =1/8(7x-2), x ≤ 3 a-absolute maximum value b-absolute minimum value c-local maximum value(s) d-local minimum value(s) 2-Show that the equation x3 − 16x + c = 0 has at most one root in the interval [−2, 2]. 3-If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 4, how small can f(4) possibly be?

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

Question

1. Consider the following curve f(x)= X^3 - 5x^2 +7x-5 Find the coordinates of the minimum and the maximum.

Solutions

Expert Solution

Related Solutions

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...

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