Use the Second Derivative Test to locate any relative extrema, if they exist. (Round your answers...

Use the Second Derivative Test to locate any relative extrema, if they exist. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) f(x) = 1 3 x3 + 5 2 x2 + 6x − 5 relative maximum (x, y) = relative minimum (x, y) =

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Expert Solution

milcah answered 2 years ago

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable....

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) g(x)=x^3-6x relative maximum (x, y) = ( , ) relative minimum (x, y) = ( , )

Use the First Derivative Test to find the relative extrema of the function, if they exist....

Use the First Derivative Test to find the relative extrema of the function, if they exist. 16. f(x) = x^4 - 18x^2 + 8

Use the First Derivative Test to find the exact location of all the relative extrema of...

Use the First Derivative Test to find the exact location of all the relative extrema of the given function. 1. f(t) = t^3-3t^2, Domain [-1, +infinity) 2. f(x) = 3x^4-2x^3, Domain [1, +infinity) 3. f(x) = (x+1)^2/5. Domain [-2,0) 4. f(x) = √ x(x-1), Domain [0, infinity)

f(x) = −x^3 − 3x^2 + 9x + 12 A) use second derivative test to test for relative max/min

f(x) = −x^3 − 3x^2 + 9x + 12 A) use second derivative test to test for relative max/min B) Find (x,y) coordinates of point(s) of inflection C) Define the intervals of concavity

for parts 1-2 for use these answers/rules Find the relative extrema of the function Specifically: The...

for parts 1-2 for use these answers/rules Find the relative extrema of the function Specifically: The relative maxima of f occur at x = The relative minima of f occur at x = The value of f at its relative minimum is the value of f at its relative maximum is Notes: Your answer should be a comma-separated list of values or the word "none". part 1) f(x)=9x−(4/x)+6 part 2) f(x)=(8x^2−7x+32)/(x) part 3) Use the derivative to find the vertex...

1. Solve the following below A) Use the second derivative test to find all the local...

1. Solve the following below A) Use the second derivative test to find all the local maxima, local minima and saddle points of f(x,y)=x^2 +xy+y^2 +y B) Find the absolute minimum and maximum values of f (x, y) = x^2 + y^2 − 2x on the closed triangular region with vertices (2, 0), (0, 2) and (0, −2). [First find interior critical points, then critical points on the boundary, i.e. on each edge of the triangle. Finally, include the vertices...

Complete the following table: (Use Table 15.1) (Do not round intermediate calculations. Round your answers to...

Complete the following table: (Use Table 15.1) (Do not round intermediate calculations. Round your answers to the nearest cent.) First Payment Broken Down Into— Selling price Down payment Amount mortgage Rate Years Monthly payment Interest Principal Balance at end of month $150,000 $30,000 $120,000 7% 30 $ $ $ $

For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema...

For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema or saddle points. Use the D test to classify. Give your answers in (x,y,z) form. Use factions, not decimals.

In general, do not use any derivative rules ( as power rule, etc.). Find the derivative...

In general, do not use any derivative rules ( as power rule, etc.). Find the derivative of the following functions at the point "a" by computing average rate of changes for h = ±1, ±0.1, ±0.01, ±0.001, ±0.0001 : a.) f(x) = x2 + x3 , a = 1 b.) f(x) = x 2+ x3 , a = 3 c.) . f(x) = x − x2 , a = 2

Use Table C or software to find the following. (Round your answers to three decimal places.)...

Use Table C or software to find the following. (Round your answers to three decimal places.) (a) the critical value for a one-sided test with level α = 0.025 based on the t(8) distribution t* =

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