k is the last two digit of your student ID (For example; if student ID=110060109 k-09) Question Evaluate the following integral: (1- exp(-k* *))dr by; (a) analytically, (b) single application of the trapezoidal rule (sampling time(dx)=4), (c) composite trapezoidal rule (sampling time(dx)=2), (d) single application of Simpson's 1/3 rule (sampling time(dx)=4), e) composite Simpson's 1/3 rule with (samnli f) single annli

Q: (-1)^ dx n= (2n+1)!

A:

Q: find d/dx 2x^2 -x using derication from first principle

A: Our Aim is to find the derivative of 2x2-x using derivation from first principle.

Q: Homework: Find the following 1. L1 (s+ a)2)

A: As per our guidelines we are supposed to answer only one question

Q: S 2 x3 dx

A: Given :∫-2x3dx

Q: (3) Find 125 * dx I- e

A:

Q: 1/2x (In2) In x (use L'hopital's Rule)

A:

Q: 10*(100* + 1)dx

A:

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: intergral 4x^3(x^4+12)^17 dx

A: We are going to use integration by substitution method

Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

Q: S2xe dx

A:

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: Snowflakes land randomly on a small area of the ground at a rate of 16 per minute. Let X be the…

A: Solution

Q: -Tt /12 SK1 tan* (3x) dx

A: We have to compute the integral  . First, consider the integral . We can write it as:

Q: integral cos^7(4x)

A: To find the integral

Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

Q: Differentiate show human working please

A: Step 1:Step 2: Step 3: Step 4:

Q: In Problem 5, you found the closed formula for the sequence below. Use proof by induction to verify…

A:

Q: find integal x over square root 4+x dx by any method.

A:

Q: Q5// Evaluate *x5*(1+ln x)dx.

A:

Q: If f(x) = (15)× then f'(x) = ? %3D O a) In(15)* O b) In(15)(15)*

A: using differentiation formula

Q: 0.75x^3 - 1.15x^2 + 2.75x + 3 Using regula falsi to find the x-intercept nearest origin (negative…

A:

Q: V = π(0.075m)^2(0.0015m) ≈ 2.66 × 10^-4 m^3 =

A: Given: The given expression is, V=π0.075m^20.0015m≈2.66×10^-4 m^3. To find: We have to write the…

Q: P(A)= 0.23, P(B)= 0.46, P(A and B)= 0.15 Calculate P(A' and B)

A: Answer: From the given data, P(A) = 0.23 P(B) = 0.46 P(A and B) = 0.15

Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

A:

Q: S (2 +ల1) 2) dx

A: We have to find the value of indefinite integral

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.