Find the limits of f(t) as t approaches the given values 6 f(t) = 3+ -; t→0* , t→0¯ 1/13 lim 3+ 1/13 t→0+ (Simplify your answer.) 6 3+ 1/13 lim t→0-

Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

A:

Q: Find the point on the graph of z = f(x,y) =x+ y closest to the point (2,2,7). You must show a…

A: Given : z=fx,y=x+y2,2,7.

Q: Differentiate the function. h(t) = √t-8e* h'(t)

A:

Q: Find invers of function f(x)=1/2x+1

A:

Q: ind the exact location of all the relative and absolute extrema of the given function: h(t)= 2t^3…

A: find critical point and check sign of double derivative at critical point

Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

A:

Q: Let g(x,y)=y−6/(x+2)^2 Indicate the range of g using interval notation

A: To find the range of the below function. gx,y=y−6x+22

Q: Find two positive numbers so that the sum of the first and twice the second is 100 and the product…

A: Let two positive numbers are x and y. Given that the sum of the first and twice the second is 100 .…