If m < f(X) < M for a < x s b, wherem is the absolute minimum and M is the absolute maximum of f on the interval [a, b), thên m(b – a) s f(x) dx < M(b – a). Use this property to estimate the value of the integral. 5xe-X dx smaller value larger value

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: A curve is such that the area bounded between the curve, the y-axis, the x-axis and the line…

A:

Q: Find the TOTAL geometric area bounded by the curve given by f(x) = x5 – x3 and the x-axis on the…

A: Given the curve is fx=x5-x3. Find the area bounded by the curve fx=x5-x3 and the x - axis y=0.

Q: b. Approximate the area bounded by f(x)=x² - 2x+6 on the x-interval [0,3] usingn = 3 rectangles and…

A:

Q: Find the area under the curve y=f(x) = 4x-4x² on the interval [0, 1]. Enter your answer as a…

A: Given query is to find the area under the curve.

Q: Calculate the area confined by between the portion of the graph of the function f(x) = -(x – 2)² + 4…

A:

Q: Calculate the total area of the glass needed for a KLEEMANN curved building design with a function…

A: we have to find area.

Q: Find an analytic function whose real part is e-x (xsiny+ycosy)

A:

Q: Determine if the function f(x)= e*¯ er uniform continuous on the interval I= [1,00 [

A:

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: Determine local extremum f(x,g) = xy(4-x-). %3D

A: