The domain of the function f(x) = cosh +3) + cosh¯1(3 is [-8, A], Then The value of k = The value of A =

Q: The absolute minimum value of the function f(x) = –3 sinx on the interval [2, 8] is

A: To find the absolute minimum value of f(x), first we have to find the derivative of f(x) i.e. f'(x).…

Q: The function f(x) =3 x4-4 x3-12 x2+1, is increasing on the interval

A: f(x) = 3x4-4x3-12x2+1f'(x) = 12x3-12x2-24xf'(x) = 12x(x2-x-2)f'(x) = 12x(x2-2x+x-2)f'(x) =…

Q: Find f-1 if f (z) = iz + 1.

A:

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

A:

Q: The function f(x) = 2x 30x + 126x – 6 has two critical numbers. %3D The smaller one is x = and the…

A:

Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

A:

Q: Find aa and bb so that the function f(x)={4x^3-3x^2+5, x<-2         {ax+b,             x is…

A:

Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: 38 Find the critical numbers of the function. 25. f(x) = x³ + 3x² – 24x %3D -

A:

Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

A:

Q: The function f(x)=2x^3−33x^2+108x-4 has two critical numbers. The smaller one is x =?    and the…

A:

Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6). Show all work.

A: Absolute extrema at x=2 and 6..

Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: Find all the critical numbers for the function f(x) = (x-1)/(x+1)

A:

Q: Find the positive critical point of the function f(x) = : 8+6 * x =

A:

Q: 8. Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6].

A: Given : The function is f(x) = 6x + 4 +24x and the closed interval [ 1, 6 ].

Q: Find the critical numbers of the function.

A: Let f be defined at k if f'(k)=0, then k is a critical number of f.Since, the function is given by…

Q: The function f(x) = 2x° 39x + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Topic = Derivative

Q: 8. If f(x) = 4 sin x + 6 and g(x) = 3x + 5, what is the maximum value of f(g(x))?

A: Solution is given below

Q: Find the critical numbers of the function f(x)=f(x)=-12x^5-75x^4+40x^3-1 and classify them. Round…

A: Consider the given function f(x) = -12x^5-75x^4+40x^3-1

Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

Q: The critical points of the function f(x) = 16x² – 2a4 occur at x = 0, x = +1.00 O r = 0, x = ±1.60 O…

A:

Q: The function f(x) = 2x° – 27x² + 108x – 5 has two critical numbers. The smaller one is x = and the…

A:

Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: The interval where  f(x) = )=(√x+2) / x2 - 2x - 8 is continuous is ?

A:

Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: а.…

A:

Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: (A) Find the absolute maxima and minima for y 4x +1 over 3 - [-V5, V5]. (B) Use the second…

A:

Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

A:

Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

A:

Q: The function f(x) = 2x 33x + 168r - 1 has two critical numbers. - The smaller one is x = and the…

A: In this question we are given with function x and we have to find the critical points of the…

Q: Find the critical numbers of the function f(x)=x²5 (4− x)

A:

Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

A:

Q: Find all points c satisfying the conditions of the MVT for the function f(x)=x3−x in the interval…

A:

Q: The function f(x) = 2 + 3x² – x³ is concave upward on the interval: (-∞, 1) (1, ∞0) (-∞, 0∞0) None

A:

Q: 3/ Find the critical numbers of the function f(x)= x/5 (4-x)

A: The given function f(x)=x354-x

Q: Find the absolute extreme values of the function on the interval. 14) f(x) = ex - x, -1 sxs 2 %3D

A:

Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

A:

Q: The critical points of the function f(x) 16x2 2x4 occur at - O x = = 0, x = ±1.60 x = 0, x = ±2.67 O…

A:

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

A:

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.