Compute [x] and [x] for each of the values of x in 1–4. 1. 37.999 2. 17/4 3. -14.00001 4. –32/5

Q: [1] The forward-difference formula can be expressed as h h2 f'(xo) = [f (xo+ h) – f(xo)] f"(xo) f"…

A: Consider the provided question, The forward difference formula is given as,

Q: Suppose X~N(196,20). Find x such that Pr(X > x) = 0.619.

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: 3 If f(x) = 2 + x, evaluate Σƒ (k+1). atas (k k=1

A:

Q: For any n e N, let An = {x € R | –n <x < n}. Prove that NneN An = A1. (Recall that we define 0 ¢ N.)

A:

Q: f'(2) for (x- x)(x² +2)(x² +x- 1) S(x) = %3D x + 2 O 676/5 O 379/7 O 587/3 O 384/9 O 585/4 O 699/7

A:

Q: Find the domain of f(x)=x² for 0<x<5. O (1,25] O (0,25) O [0,25] O [1,25)

A: Given: The function is fx=x2 for 0≤x≤5. To find: The domain of the given function. The given options…

Q: Let f(2) = In[="(= + 7)*(z² + 7)°] f'(x) =

A: Given : fx = lnx8x+72x2+76

Q: Show that for all x, e* > 1 +x.

A: It is given that, ex≥1+xwe have to show that for all x.

Q: Show that for all x>0, e* >1+x+÷ 2.

A:

Q: ntiderivative. 7x x² -x-2 OB. In x + 1|-In x- 2| + c 14 .7 14 In x +1- x +1 In x-2 x- 2 3 3 14 7 OD.…

A:

Q: 1 Let h(x) x2

A:

Q: Determine in G(z)=(z-6) if z is increasing or decreasing at z=1

A:

Q: Evaluate E=z P₁ 91 € n₁ + P2 92 n₂ x2 X1 for z* = 1.96, x₁ = 43, x₂ = 79, n₁ = 49, n² = 92, P₁ = ₁ =…

A: It is given that  z* = 1.96 x1 = 43,    x2 = 79 n1 = 49,     n2 = 92

Q: If f(x) = x(2^x), then f'(x) is equal to: %3D O 2^x (In 2+ 1) O 2^x (2 In 2 + x) 2^x (x In 2 + 1) O…

A: The given function is f(x)=x2x

Q: Let S(2) = ) for |z| <1. 1 n=1 zn Evaluate f(10) (0). You may leave factorials in your answer…

A: In the question we are given a complex function f(z) in terms of infinite series, and we have to…

Q: 23. Find the first 3 iterates of the function f(x) = 0.75x when o = 5. %3D O 3.75, 2.8125, 2.109375…

A: Explanation of the answer is as follows

Q: Suppose f"(x) = N,(h) + a,h² + azh* + azh°+…* The value of N2(h) using Richardson's extrapolation…

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: To find the population assume that the rate of change of mosquitoes remains constant at 180 per day.

Q: Determine each of the following areas. above x = 1.46 below z = -0.58 at most z = -1.8 at least z =…

A: Thank you for posting the question. As your question has more than 3 parts, as per the policy, we…

Q: Determine the value(s) of x such that  [ x  2  1 ] [ 2   0  -2] [ x ]                 [ 0   3  3 ]…

A:

Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

A:

Q: f is increasing on (a, b) of for all x1, x2 in (a, b) when x1 less than x2,f(x1) less than f(x2).

A:

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: Suppose that a friend tells you that if any number M > 0 were to be speci- fied, one would always be…

A: The friend tells that if any number M&gt;0 is specified, it always can be able to find a…

Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the…

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: esents the population of a certain mosquito colony, where t is measured in days. The current…

A: It is given that P(t) represents the population of a certain mosquito colony and time t is measured…

Q: 6) Show that the function f:Z → N given by 2n +1, n20 f(x) = -2n, n<0. is 1-1 and onto. I

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: 1The land of Zoo Nearland consists of two islands, the Each year 35% of the populatiou of the East…

A: (a) given let ek and wk be the population of the east and west islands respectively to find  a…

Q: f(x) = In (1+x³)

A:

Q: 3. Determine whether the functions e2a and xe2 by calculating Wronskian.

A: Let f(x) = e2x and g(x) = xe2x Then,  f'(x) = 2e2x ,and g'(x) = e2x+2xe2x (by using chain-rule of…

Q: 4. Find an upper and a lower bound for the set E= x +1 : -1 < x2 +1

A: Given: E=x+1x2+1:-1&lt;x≤2

Q: Suppose that X~ N(100, 20). For some valle x, we have that P(X ≤ x) = 0.7605. What must be the value…

A: given data x~N (100,20)here μ = 100σ=20p(X≤x)= 0.7605we have to find out the value of x for given…

Q: Excrcise 8. Evaluate -In 2 xe d.x 1

A:

Q: Suppose f"(x) = N,(h) + a,h + a,h² + azh* + • %3D ... The value of N,(h) using Richardson's…

A:

Q: (х — т 11- тх if x < 3 if x 2 3 5) Find m so that g(x) = Is continuous for all x?

A:

Q: Calculate dIn |2 – 1|/d In a as a function of 2 and w; by differentiating 2(a) – 1 = H²a? to show d…

A:

Q: ν4-x (h) N(x)=; In|x|–1

A:

Q: Prove thot if yef(x) is continyous and f(x) =0 when x is a ratsonal number, then f(x) =0 for all x €…

A: Given that y = f(x) is continuous and f(x) = 0, x is a rational number. To prove f(x) = 0 for all…

Q: If you are asked to find L4 for f(x) = edz) + In(x) on the interval [2,10], what would the value of…

A: From the given problem:   fx=e3x2+lnxa,b⇒2,10   As we know that the expression for the step size is:…

Q: 1 and the domain for g(x) is a s as x-> inf, f(x) -> inf and the

A: Domain of a function: All the possible values of x that makes the function f(x) valid or the values…

Q: 6 Evaluate f S Suh

A:

Q: 8. If l is the output for Carmichael's function machine shown at right, how can you determine what…

A: Since the output for Carmichael's function machine is 1. Equate x2+2x+1 to the output value of 1 and…

Q: Compute (12.3 – x x) for the following set ofn = 5 values. X1 = 0, x2 = 4.1, x3 = 5.5, x4 = 0.6, x5…

A:

Q: 21. Discuss the continuity of : 1 x + for x 2

A:

Q: Consider the function 2: {1,2,3, 4} - + {0, 1,2} defined as follows: N:n → (2n +2) mod 3 (.1) Draw…

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We can find the mosquito population in 17days as below

Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A:

Q: Suppose that in the forward difference formula of order O(h) for f'(xo), h = 0.2 and |f"(c)| < 0.5,…

A: hf''(x)/2 ≤0.2×0.5/2 ≤0.05

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.