= ("z)0 n.

Q: (b) Guess the value of dx when n is an arbitrary positive integer.

A:

Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: Q6-Find the approximate value of (4.01) + (2.98) by using total differential?

A: We will find out the required value.

Q: da (c) Use Romberg's method to compute correct to 4 decimal places by taking 1+2? h = 0.5, 0.25 and…

A: Trapezoidal Rule:                                      ∫abf(x)dx=h2[y0+yn+2(y1+y2+y3+...)] Given…

Q: -) Find the vel

A: Given that, s(t) = t3 - 7t2 + 2t  ; t >= 0 (a) Velocity (v) at time t is given by: v(t) = ds/dt =…

Q: f (t) =1*b +acosh 21 + bsinh 21 a+b

A:

Q: 4) e4y dy 00

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1 + x)…

A: Given dx/dt=0.002 feet/sec Let y=(1+x) 3  then find dy/dt at x=8

Q: ly manufactur nk for the exp- greed that she

A:

Q: sem

A: Given: f(x,y) = xi + ( x^3 + 3xy^2) j.

Q: 5 dy = +C

A: We have to evaluate the integral using the above formulaes.

Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: dt 0.20200427 4t2 + 9 0. Incorrect

A:

Q: what is L Of

A:

Q: Solve the system.

A: Given:   0.11x - 0.03y = 0.25                . . .(1)               0.12x + 0.05 =  0.70…

Q: Find the approximate value of the expression (1.99)" by using linear approximation.

A:

Q: S. dy |1+5

A:

Q: al to). Average rainfall of a city from Monday to Saturday is 0.3 inch. Due to fce the rainfall on…

A:

Q: dy ー1

A: Given:

Q: 1. S x2

A:

Q: Approximate the expression in the form a without using e. - 2x e - 2x e %3D (Round to four decimal…

A:

Q: 10) (2 ydx+dy)e" =0

A: Given DE is 2ydx+dye2x=0 solve it by exact differential equation

Q: de

A:

Q: DE

A:

Q: P+ZX Calculate

A:

Q: F(s)*(+25+2) Fis)

A:

Q: S S dydx

A: we need to evaluate integral of, ∫02∫03y3dydx

Q: dx Evaluate 3x – 12 O 1 O + 00 8

A: To evaluate the integral.

Q: dx x In(x4)

A: We can logarithmic property and method of substitution to solve given problem.

Q: /49 — е2 dz – e²

A:

Q: |(n²1) dy

A: Given differential equation is (x3-1)d2ydx2+x2dydx+xy=0                      (1) around x=0,…

Q: f'ex + 2cos(ny)

A:

Q: e of x to the nearest tent 8. 12 8

A: Using Pythagoras theorem , Hypotenuse2 = base2 + perpendicular2

Q: Q12: use differentials to estimate (26. 96)3

A:

Q: 门4(z + 1)ele+1) de

A: We will find out the required value.

Q: eg Show thaf Full likely hod ven by W - M

A:

Q: + y + z = 1 in the first octant.

A:

Q: O yards of material produced. your answer to 4 decimal places.)

A:

Q: The area to the left of z =0.53 is

A: The z-score for any assumed random variable X~N(μ,σ2) is Z=X-μσwhere, μ=population mean…

Q: t to 2 decimal places.

A:

Q: Aut (2) E Z..

A:

Q: e Th

A:

Q: What is the approximate value of x in the diagram below

A:

Q: 6 ven cos a = wh 15'

A: Use inverse trigonometric ratio

Q: 11. S ye-y°dy

A:

Q: Find an approximate value for 2√0.253

A:

Q: en by

A:

Q: the area to the left of z=0.62 is

A: It is given that the z-score is 0.62.

Q: Use differentials to approximate the value of (1.02)².

A: Given :y=(1.02)2

Q: s/Vn

A: The t-test is used when the population standard deviation is not known.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.