Q111f и %3D (1 —2ху + у?)""/2, Prove that: ди ди y əx y? u3 У ду

Q: ,2 2. 6+t dt

A:

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know that; The expression for the volume of the cube is: V=a3    ....(1) Where a is the edge…

Q: integral i

A:

Q: Evaluate the integral. .5 3 cosh(t) dt 0.

A: Solution

Q: Use the Karl weierstrass substitution to integrate

A:

Q: Use a linear approximation to estimate V26. Whot neint

A:

Q: x³dx S 17. √(1-x²

A:

Q: Suppose that 2 J of work is needed to stretch a spring fromits natural length of 30 cm to a length…

A:

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: Use the error bound to find a value of N for which Error(TN) ≤ 10−6. If you have a computer algebra…

A: ∫251xdx

Q: What is ll = ( as")* %3D X= ()3....) where Kn=2"2 %3D

A:

Q: Integrate from 0 to 2

A:

Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

Q: (メフき お! then Rind fcx) and ec3) メ+ %3D fC) = e %3D by using integration ?

A: f(x)=ex+1-f'(x) and f(1)=e

Q: How does Taylor’s formula for a function ƒ(x, y) generate polyno-mial approximations and error…

A:

Q: 7. ydx-xdy + xydy = 0 Ans: In²+ y = c

A: We have to solve differential equations

Q: Evaluate the Integral 2. S V5 + 12x – 9x²dx - ANSWER: 2. (3x-2)v5+12x-9x²+9Sin¬13*- 2]+C (3х-2)

A:

Q: Prove that Cosh [m(t-x) Cosh mh 2mL 2mL

A: The given data is: To prove: emx1+e2mL+e-mx1+e-2mL=coshmL-xcoshmL

Q: Anti der ivent ive 2x %3D 37-4

A: Solution

Q: Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

A:

Q: Suppose that when launching an 800-kg roller coaster car an electromagnetic propulsion system exerts…

A: ork done by the force in travelling 60 m isW=∫060 F dx

Q: Sx9'de 1. Integrate:

A: Given :

Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12

A:

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

Q: 5. Use differentials to approximate V4 + In(1.2) correct to two (2) decimal places.

A: Let us take the function f(x)= √x f'(x)=1/(2√x) f(x+Δx)=f(x) + f'(x) . Δx   ___i) Here let us…

Q: Explain why the fundin f(2)= 526+ z COSZ - z’e? is entire ?

A:

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A:

Q: Use reiation Ship: the fcx) (x) To Calculate Js?

A: Here, we need to calculate √8. In other words, we need to find the root of the function f(x) = x2 -…

Q: 6) Prove mathematically that (1 grad = 0.9 deg) %3D

A: Since, this is a multiple question according to the Bartleby Answering rule, only first question is…

Q: When a particle is located at a distance x feet from the origin, a force of x +2x pounds acts on it.…

A: We have the given Force function F(x) = x2 + 2x where x is the distance in feet from the origin.…

Q: he integra = 3/2 is dz Z-2

A:

Q: Perform the multiplication on the differential operators

A:

Q: Apply Gauss's theorem to evaluate. A

A:

Q: Evaluate the integral. 4 sec2(2t) dt 3+2 tan (2t) 2 4 sec (2t) dt%3D 3+ 2 tan (2t)

A: See the details solution in below

Q: When a particle is located a distance feet from the origin, a forceof   x sq  + 2x pounds acts on…

A: F(x) = x2 +2x and the limits are x =1 to x =3.

Q: Evaluate the indefinite integral. (7z + 7 71 + -dr Jz² +1

A: Given,          ∫7x+7x2+1dx

Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

A:

Q: Iterated integrais. 3. ( ye* dx dy Jo Jo

A:

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: ary differentia att=0 the ing

A:

Q: How do you integrate z/(z+2) in terms of z?

A: Here, integral is,

Q: 4 da 25 + z? Integrate:

A:

Q: dr 4 – z Integrate:

A: The given integral,∫54-x2dx

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression.

Q: Evaluate the double integral. 5 25- х2 dy dx Jo

A: First, integrate with respect to y

Q: Evaluate the integral. 0. LG + dt - -2

A: final answer is -5.619 detailed solution is given below

Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as:…

Q: sec² (1+ /7) dr. 6) Use the substitution u = 1+Va to evaluate the indefinite integral|

A: