• In 3 6te'i + 7ej+2 ln tk dt

Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: 6. Estimate the integral: ܐܢ ex. dx

A:

Q: Suppose a force of 40N is required to stretch and hold a spring 0.1m from its equilibrium position.…

A:

Q: coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm.

A:

Q: A coat of paint of thickness 0.03 cm is to be applied uniformly to the faces of a cube of edge 29…

A: Let the side length of the cube be S = 29.Side increase on each side = 0.03 cm.Total increase in…

Q: 17 0 in QII 32. sec0= - mot 15

A: Given:secθ=-1715,  θ in quadrant 2

Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u…

Q: solve the deq by method of substituiton

A: The given differential equation is 2x+y+4dx+x-2y-2dy=0......(1) We shall solve the differential…

Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

A:

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm Use differentials…

A: Given that the side length of a cube is 5 cm with an accuracy of 0.1 cm Volume of a cube=side…

Q: ach to solve omogeneous ential equatior

A: Given - The differential equation To find - Use the superposition approach to solve the given…

Q: use in tergration by parts to solve

A: Given,  ∫012xcosπxdx  We have to find the integral using integration by parts.

Q: Evaluate the integrals ∫4 cosh (3x - ln 2) dx

A: Given: I=∫4cosh3x-ln2dx here, 4cosh is constant, so it will come out from integral

Q: Integral from 1 to e of 5t^2 lnt dt

A:

Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: Find integration from 0 to π/4  √(secx) tanx dx

A:

Q: Original Integral Vx dx x xp,

A: Given function is x4

Q: 4. Find at the point (1,1,1) if ln(xyz) = 1 əx

A:

Q: 10 Describe a first step in integrating /2 dx. - 4x + 5

A: Given: ∫10x2-4x+5dx Step 1: Taking the constant term outside

Q: Compute. integral (1) / (square root 1 + x2)3 dx

A:

Q: 3/8 d. rategy. Show

A:

Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

Q: integral of sec^3 x

A:

Q: A square is measured and each side is found to be 8 inches with a possible error of at most 0.01…

A: We are given that each side of a square is 8±0.1. Let x be the side of square and then the side of…

Q: 4х, th dt Vhat is the

A:

Q: d Evaluate dz 1 dt. 1+ Int

A:

Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: 4) 2²e*dx (Improper Int.)

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:

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: Evaluate In (ax) dx using integration by parts

A: Follow the procedure given below and use simple intergation by parts.

Q: The edge of a cube was found to be  60cm with a possible error of 0.1 cm. Use differentials to…

A: The volume of cube, V = x3, where x is the edge of the cube.

Q: 2. One side of a right triangle is known to be 150 cm long and the adjacent angle is measured as…

A: The given problem is to find the maximum possible error in area of triangle when one side and angle…

Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Given: length,h=20 cmd=6 cmdr=0.001dV=?

Q: Find the particular integ rel of This differential etuatim. (40²+HD+= 2e +8x %3D

A:

Q: I Eliminate the arbitrary constants 1. X = y=at + bt² - Int,

A:

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: EQUへTION (+2x?) AS A (40MOGENEOUS DIFFERENTIAL Ē QUATION SHOW TYAT AND MAKE AN APPROPRIATE…

A:

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: Given,  The one side of a right triangle is 20 cm long and the opposite angle is measured as 30°,…

Q: 1 dx. cosh x

A: Rewrite the integral and using substitution method, we calculate the given improper integral.

Q: Solve any ten Questions of your own choice regarding to integration by parts. with explanation?

A: As per our guidelines we solve only one question.

Q: Integral of sec^4(3x) dx

A: Given ∫sec4(3x)dx

Q: the width and length of rectangle are measure in cm as 6 and 18 respectively with an error of at…

A:

Q: integral In(2x +1) dx

A: Given To Evaluate ∫ln(2x+1)dx