17) Graph f (x ) = (x+3)e^−x. Include any possible local minimums or maximums, any inflection...

17) Graph f (x ) = (x+3)e^−x. Include any possible local minimums or maximums, any inflection points, horizontal asymptotes, and vertical asymptotes.
18) Find the dimensions of a rectangle with area 6400 ft^2 whose perimeter is as small as possible.
19) Find f (x ) if f '( x) = sin x + 5 cos x where f(0) = 2
20) A particle is moving in a straight line with acceleration a(t) = e^t − 3t at time t. If s(0) = 0 and v (0) = 6 , find it's position at time t, s(t) .

Expert Solution

milcah answered 3 years ago

Given the function f(x,y)=2x^3 + 6xy^2 - 3y^2 - 150x. Find the local minimums, maximums and...

Given the function f(x,y)=2x^3 + 6xy^2 - 3y^2 - 150x. Find the local minimums, maximums and saddle points of f(x,y).

f(x)=2x^4-5x^3-9x^2+32x-20 -Find the A: Intercepts B: equation of asymptote C: local extrema D: Inflection Point E:...

f(x)=2x^4-5x^3-9x^2+32x-20 -Find the A: Intercepts B: equation of asymptote C: local extrema D: Inflection Point E: All end behaviours and behaviours around the asymptote

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find the line tangent to graph of f(x) at x=0 1) f(x)=sin(x^2+x) 2)f(x)=e^2x+x+1

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3....

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If I have the graph f(x)= 4x5 - 5x4 + 9 is it only possible to...

If I have the graph f(x)= 4x5 - 5x4 + 9 is it only possible to have a local max and min since the graph goes to +/- infinity?

Write a MATLAB function that accepts input vector x and returns the number of local maximums...

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(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x =...

(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x = −1 to x = 2 using three rectangles and right endpoints. R3 = Then improve your estimate by using six rectangles. R6 = Sketch the curve and the approximating rectangles for R3 andR6. (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating rectangles for L3 and L6. (c) Repeat part (a) using midpoints. M3 = M6...

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