Suppose a increases on

Q: Find th

A: Let the radius of the sphere be r. Then the surface area of the sphere=4πr2 Given that the surface…

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: show that is strictly increasing or strictly decreasing. n=1

A:

Q: . Use the Mean Value Theorem to demonstrate that In(1 + x) 0.

A:

Q: Suppose g is a continuous DECREASING function on the interval [-3,1].

A: 2. As y is a continous decreasing function on the interval -3, 1

Q: Give a big-O estimate for the function f iff is an increasing function.

A: According to the given information, it is required to calculate the big O estimate for the function…

Q: (- 0,a) is measurable.

A: Note that, every interval is measurable.

Q: the form f in

A:

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: Differentiate the function. h(x) In x + x² – 7

A:

Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

A:

Q: 1 Let h(x) x2

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(0) = 0

A: Given: f(0)=0

Q: Find g that

A: The Probability Mass Function (PMF) is also called a probability function or frequency function…

Q: Then X = ..

A: Provided table of frequency distribution is: Classes Frequency 32 – 34 4 34 – 36 7…

Q: Determine if the given variable is discrete or continuous: Number of shipping trucks being loaded. O…

A: We want to find, given variable is discrete or continuous. Let x= Number of shipping trucks being…

Q: Let X-F(4,8), then

A: X~F(4,8)

Q: Is is decreasing for E

A: According to the scenario, The given graph shows the number of friends for a group of women and men…

Q: b) Find the intervals on which fis decreasing

A: The graph is drawn with a scale of 1 unit on x-axis and y-axis.

Q: Present a combinatorial argument to justify your answer. How many functions are there from {1, · · ·…

A: Consider the given information as, 1,⋯,n to 0,1

Q: Calculate the rangefor the following variables, assuming they are continuous. 1,7,7,10,8,8,6,16

A:

Q: Suppose that f(0)=−4 and f′(x)≤6 for all values of x. Use the Mean Value Theorem to determine how…

A: Here given  f′(x)≤6 for all values of x. Thus there exist c between 0 to 4 such that f'c≤0

Q: Identify the following as being discrete or continuous. 1). The amount of time it takes to do a…

A: Discrete data is a finite countable values  continuous data values falls in continuous sequence…

Q: et F be the collection of

A: To define, T(G)=∫G(z-y)dG(y),G∈F

Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) >0 f(x)…

Q: Let ā= . Find |āà.

A: Here we will find the magnitude of vector a,

Q: Find the domain of the function. h(x) = In x + In(2 - x)

A: Given h(x)=ln x+ln (2-x) Find the domain by finding where the expression is defined.

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

Q: @ =, compute fCl @Given the function fa)= ((+ 2x]= Round to earest tenth. et

A:

Q: Describe the long run behavior of f(2) = - z As z + - 00, f(z) + ? As a + 00, f(æ) → ?

A:

Q: A positive number x and its reciprocal are added together. The smallest possible value of this sum…

A:

Q: Verify Mean Value Theorem for the function 3x? - 4x +5 in [-1,1]

A:

Q: Find the domain of the function. k(x) = In |x|

A: The domain of a function, f(x)  is the set of input values of x for which f(x) is real and defined.

Q: Find the term of (x + +)° that does not contain x.

A: Given expression is, x+1x6. The general term is given by, Cknakbn-k. In the given expression,…

Q: if n 3 a1 = a2

A: We will get the corresponding term by putting value of n in the given constraints.

Q: Find the extreme values of f(x) = In 1+x SOUITION

A: Given- fx=lnx1+x2 To find- The extreme value of the above function.

Q: . What is the PDF fx,(x) of X1?

A: Given that X1,X2, and X3 are iid continuous uniform random variables. Then common pdf is given by…

Q: EER(F}}

A: Introduction - F-test of H0:β1=0consider the hypothesis test H0:β1=0Hα:β1≠0Note that Yi^=b0+b1Xiand…

Q: Indicate the least integer n such that f(x) = (3æ³ + 2x²)(5æ5 + 4æ*) € O(x").

A: Finding f(x) explicitly using multiplication of polynomial. The highest power of x or degree of f…

Q: Suppose f(x) = 3x - a+ 4. Compute the following:

A:

Q: Find all values of æ for which rank(A) = 2.

A:

Q: : and degr S. F

A: We have to solve given problem:

Q: How many functions exist with the signature Za → Zb?

A: To find the number of functions from ℤa to ℤb. Here a=b is given. We know that ℤa has a elements. As…

Q: (- 0 ,a) is measurable .

A: Given a statement

Q: Let ā . Find |ā].

A:

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(1) = 0

A: We have, f'x=2x Integrating both of the side with respect to x, we get the result as…

Q: find the positive intervals for  x2 − 3x

A: We need to find the interval for which function is positive .

Q: u- |-u)-n

A: In this question we have to expand the following question.

Q: Find the sum of the values of f(x) = x³ over the integers 1, 2, 3, ..., 10.

A: The given function is fx=x3, over the integers 1,2,3.......,10.

Q: Suppose that f(2) = 16 and that f'(x) 2 - 3 for all x in the interval [2,7]. Determine the smallest…

A: This question is based on Mean value theorem.