of (e) intervals on which f is in (f) intervals on which f is de (g) intervals on which f is c (h) the number at which f h (i) the relative minimum of t (G) f( – 6) (k) The values of x for whicl (1) Is f even, odd or neither? 4- -6 6. 12 -4- |(Type your answer in interval notation.) (g) Over what interval is f constant? (Type your answer in interval notation.) (h) What is the number at which f has a relative minimum? (i) What is the relative minimum of f? Click to select your answer(s). JUN Use the graph to find the following. (a) the domain of f (b) the range of f (c) the x-intercepts (d) the y-intercept (e) intervals on which f is increasing (f) intervals on which f is decreasing (g) intervals on which f is constant (h) the number at which f has a relative minimum (i) the relative minimum of f () f( - 6) (k) The values of x for which f(x) = 3 (1) Is f even, odd or neither? 4- -6 12

Q: Find the critical points. У(х) %3 х(х — 11)" (Use symbolic notation and fractions where needed. Give…

A:

Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

A:

Q: Find the critical points of f(x) = x' - x' and apply the Second Derivative Test (if possible) to…

A:

Q: 6. Consider the function f(x) = In(x + 2) – 2 arctan(x) a. Find all critical points in the domain of…

A:

Q: f"(x)= 2(x-2) (x+1)4 1-X Let: f(x)= (x+1)2 ' f'(x) = (x+1) ' 1. Find x- and y- intercepts of the…

A: Consider the function: fx=xx+12,  f'x=1-xx+13, f''x=2x-2x+14. a) Find the x-intercepts and…

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

A: From the graph :  Critical Points of 'f' are the points where f' (x) = 0 So, x=2 , 0.5 , -1 are…

Q: f(z) = 2z/4x² + 2 (A) Find all critical values of f. If there are no critical values, enter -1000.…

A: Given functionfx=2x4x2+2 The main objective is to find the critical values and indicate where the…

Q: 2 Let f(z) - - 322 + 2z 22 - z - 6 Find: 1) Domain (in interval notation) 2) Y-intercept(s) at the…

A:

Q: of (b) the range of f () the x-intorcepts (d) the y-intercept (e) intervals on which fis increasing…

A: Given,

Q: the fünction on the closed interval. Use a graphing utility to verify your results. (If an answer…

A: We have to find the absolute maximum and minimum

Q: a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of…

A:

Q: NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for o and '-INF' for -o.…

A: "As per our policy we can solve only first question so please repost the other question as next…

Q: Let be a continuous function on an open interval  where  is in . If  has an extremum at , then…

A: Given an open interval I and a continuous function f:I→ℝ and a point α∈I in which function is…

Q: (a) Find the critical numbers of f. (Enter your answers as a comma- separated list.) X = (b) Find…

A:

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: Use first derivative to find critical points and do double derivatives test to check its maxima and…

Q: f (x) is decreasing at æ = -5 f (z) has a local minimum at z = -2 f (x) has a local maximum at z = 2…

A:

Q: a critical point of fif either f'(c) = 0 orf'(c) does not exist. ) is an absolute maximum value of…

A: Solution is here

Q: In(x) on the interval [1,3] by comparing values at the critical Find the maximum and minimum values…

A: A detailed solution is given below.

Q: 11. Find the critical points, domain endpoints, and local extreme values for the function. -x? - 3x…

A: Consider the graph:

Q: a) Intervals where f (x) is increasing b) Intervals where f (x) is decreasing c) Relative (local)…

A: When the graph is going up it is increasing and when going down it  is decreasing

Q: Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to…

A:

Q: lim f(x)= at x = -2 f has a + discontinuity f has a jump discontinuity at x= f is continuous from…

A:

Q: Find the critical points and the intervals on which the function f(x) = x* – 2x2, (x > 0) is…

A: For a critical point, we solve f'(x)=0

Q: Find the critical points and the intervals on which the function f(x) = x* – 10x2, (x > 0) is…

A:

Q: Find the critical points of f(x) = x - x and apply the Second Derivative Test (if possible) to…

A:

Q: 1 – 2 In (2 –), -5 sxs 2 g(x), 2<xs5 The derivative of a function fis defined by f'(x) = where the…

A: The derivative of a function at a point is the slope of the function at the point. The critical…

Q: 1 1 Let f (x) = x* –x² + 100 defined on [-2,2]. Find 12 2 a) Intervals of concavity b) Inflection…

A:

Q: Find all relative extrema as well as the x-values at which they occur. Where appropriate, indicate…

A:

Q: (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the…

A: So for this question I'm providing hand written solution for better understanding.

Q: Consider the function f(x) = Use the graphing utitlity to graph f. f(x) = X-2 20 y 10- -20 -10 10…

A: According to question given thatf(x)=x-2x-4From graph we evaluate that function f(x) f is Increasing…

Q: Find the absolute extrema of the function f(x)=10+x÷10-x on the interval [5​,8​]. The absolute…

A: We have to find the absolute extrema of the function f(x)=10+x10-x   on the interval [5​,8​].   we…

Q: 7-Calculus I Spring20 Let f(x)=x°(x-1), f(x) = 3 (4x-1) 3. 3x 9x 1. Find x-and y-intercepts of the…

A: Consider the given function as fx=x13x-1

Q: 3) Determine the value(s) of k that make the functionf (x) continuous for all x. Show your work for…

A:

Q: Let f (x) = x2- 3x Find the requested information for the function f and its graph. Enter N/A in any…

A: For critical point fond f'(x)=0

Q: A continuous function has a domain of –7<xs10 and has selected values shown in the table below. The…

A: NOTE: Refresh your page if you can't see any equations. . plot all data points on the graph and make…

Q: Use the first derivative test to locate the relative extrema of the function in the given domain,…

A:

Q: Find the critical points and the intervals on which the function f(x) = (x - 1300 x) e* + 12 is…

A: The given function is f(x)=x3-130011xex+12 ............................. (1)…

Q: Find all the x-values at which the critical points occur of the function f(x) = 5x' – 16x2 + 11x on…

A:

Q: A family of double-humped functions Consider the functions f(x) = where n is a positive integer. (x?…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the absolute extreme values of the function on the interval. f(x) = csc x, - – s x A) absolute…

A: In order to minimise or maximise a quantity, derivative of that function is calculated and equated…

Q: The continuous function has exactly one critical point. Find the x-values at which the global…

A:

Q: 8. f(x) =-x*+ 2x2 -x-2 Domain: Range: Rel. Maximum(s): Rel. Minimum(s):. End Behavior: As x→∞, ƒ(x)→…

A:

Q: (a) Find the critical numbers of f. (Enter your ansvers as a comma-saparated list.) (b) Find the…

A:

Q: 5 (2) = - = – a) Determine the intervals on which f is concave up and concave down. f is concave up…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 5. The function f(x) has a derivative g(x), shown on the graph below. (2, 1) (0, 1) 1- 1 (4,-1)…

A:

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

A: At local maxima f'x=0 and f''x&lt;0 so local maxima is at x=0.5.

Q: p3 – 4x2 (x + 2)² ’ x(x+8)(x – 2) (x + 2)³ 8(7x – 4) (x + 2)4 - - - f(x) = with f'(x) = and f"(x) =…

A:

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

A:

Q: Find the critical points and the intervals on which the function f(x) = x* – 9x32, (x > 0) is…

A: We use first derivative test to find where function increasing and decreasing also use to find local…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.