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2 − 1 and
parallel to the line 2x − y + 3 =
Given the function f(x,y) = e^x ( x^2 - y^2) find all critical points and classify each as a local maximum, local minimum, or neither.
Find the absolute maximum and minimum values of the function f(x,y) = x + y - xy
on the closed triangular region with vertices (0,0), (0,2), and (4,0).
Given the function f(x,y)= arctan(xy) (A) Find the gradient vector f(x,y) (B) Compute the directional derivative of f at the point (1,2) in the direction of the vector
v = 5i + 10j
“The series expansion of the function cosx in powers of x contains all even
powers of x only.” True/ False ?
Let x1 > 1 and xn+1 := 2 −
1
xn
for all n ∈ N. Show that {xn} is bounded
and monotone. Find the limit.
Find acute angle between intersecting curves. Write normal line, tangent line for each curves at the intersec tion point.
y = x ^ 3 , x = y ^ 2
The perimeter of an isosceles triangle is 28cm. What is the maximum area possible?
The perimeter of an isosceles triangle is 28cm. What is the maximum area possible?
a closed rectangular box whose length is double its width has a total surface area of 600cm2. find the dimensions of the box with maximum volume
#339914 on Dec 2023