The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4. Determine the maximum value of delta > 0 satisfying each statement.
a. If 0<|x-4|<delta, then |f(x)-5|<1
b. If 0<|x-4|<delta, then |f(x)<0.5
Q: please explain how to solve this
A: (a)We are given graphand we can locate upper and lower curves on different regions
Q: Find the values of the convergent series [from k=4 to infinity] E (2/3)3n-1 (-4/7)2n+3 *that E just ...
A: Given information:The given convergent series is
Q: Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z) across the s...
A: To calculate the net outward flux of the given vector field across the given surface
Q: Is y=e2x +4x+3 a solution to the differential equation shown below? y′−2y=−8x−2
A: To test if the given function is a solution of the given differential equation
Q: y′=−2ex −9x2 +x+4 y(0)=6 Solve the initial value problem above. Do not include "y=" in your answer.
A: Solve the Initial Value Problem(IVP) for first degree differential equation is given.
Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...
A: The given differential equation is, y′=5ex −6x3 +4x.
Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...
A: f(x) = 12 − 2x if x < 2 and x2 − x if x ≥ 2We have to find lim x→2 f(x)
A: Obtain the magnitude value of u as follows.
Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...
A: Given information:The given function is f(x)=X5+x^2 and g(y)=1/y-2.