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: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…
A: The volume of the cylindrical shell is given by V=2πrh∆r, where ∆r is the thickness of the shell.…
Q: A normal is drawn at a point P( x,y) of a curve, it meets the x-axis at Q. If PQ is of constant…
A:
Q: The radius and height of a right circular cone are measured with errors of at most 1% and 4%,…
A:
Q: The base radius and height of a right circular cone are measured as 10 cm and 25 cm, respectively,…
A: Given formula for the volume of the cone is V=πr2h3 Now, the total differential of V can be…
Q: Find the differential dy of y=√x. Show complete solution
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Q: tan (Int) dt
A:
Q: Obtain the differential equation of the plane curves described 5. Family of straight lines with…
A: Note:- As per our guidelines, we'll answer the first problem as exactly one is not mentioned. Please…
Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx
A:
Q: Explain of the method of proving the derivative (dy/dx) of y=U(x)ᵛ⁽ˣ⁾ where U(x) and V(x) are…
A: y=uxvx, where ux & vx are the differential functions of x. To differentiate these type of…
Q: Find the differential equation of all sphere of radius 5 having their centers in the xy plane
A:
Q: (3) y = ln¯' væ
A:
Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…
A:
Q: The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use…
A: Let the length and width of a rectangle are L and W respectively. Now, The length and width of a…
Q: The dimensions of a closed rectangular box are measured as 93 cm, 66 cm, and 50 cm, respectively,…
A: Given, The dimensions of a closed rectangular box are measured as 93 cm, 66 cm…
Q: Classify the first order differential equation .9 y = (y – 2) X اخترأحد الخيارات Separable…
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Q: A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration…
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Q: All straight lines tangent to a unit circle with center at (1,1).
A:
Q: How to compute for the differential volume of each coordinate system and its phase area?
A: Hints: We have to discuss that how to compute for the differential volume of each coordinate system…
Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…
A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…
Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. (a) Use…
A:
Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. a) Use differentials…
A: GIVEN The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm we need to find…
Q: 1 find the total differential dz. axeta TU
A: Find dz
Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…
A: Given: The edge of a cube, x=30 cm The error in measurement, ∆x=0.1 cm
Q: Find the differential equation which has the given family of integral curves. The family of circles…
A:
Q: The diameter of a spherical ball bearing was measured to be 7.8 mm with a possible error of 0.07 mm.…
A:
Q: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…
A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .
Q: Find the total differential. z = 10x8y6 dz =
A: GIVEN: z = 10x8y6
Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…
A: Solution.
Q: Obtain the differential equation of the family of curves described below. a. Circle of radius 1 and…
A: a) Given radius of circle r= 1 and center lies on y=x linewe know that circle equation is…
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: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a)…
A: Solution:
Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…
A:
Q: The dimensions of a closed rectangular box are measured as 74 cm, 51 cm, and 50 cm, respectively,…
A: For a function y=fx, ∂y,∂x,dy and dx represents partial derivative of y and x and then differential…
Q: These equation classifies by dy 3 +5x y dx' tan x dx Ordinary Differential Equation O Partial…
A: By see tha solution of this question
Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.
A:
Q: 1. The edge of a cube was found to be 32 cm with a possible error in measurement of 0.1 cm. Use…
A: Given : Measurement of edge of cube a = 32 cm Possible error in measurement of edge is da = 0.1 cm…
Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 9x…
A: Integration by part ∫u dv=uv-∫du v where u and v are the function x
Q: integral arccos(pi*x)dx?
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Q: Circles with center on the line y = x
A:
Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use…
A: The given data is: Edge of the cube x=15 cmPossible error dx=0.2 cm
Q: Derive a differential equation that expresses the height h of the water at any time t in the conical…
A: Firstly let's determine the velocity of water flowing out of the orifice, v. Consider that the…
Q: show that the differential forms in the integrals are exact. Then evaluate the integrals.
A: Here, we have Assume ∫(0,0,0)(2,3,-6)2xdx+2ydy+2zdz (i) Using the formula,…
Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…
A: Given : ∫( 0 , 0 ,0)( 1, 2, 3) 3 x2y dx + ( x3 - z3 ) dy - 3y z2 dz
Q: Form the partial differential equation by eliminatiug erbitrary Goostant function from zze^ R lx-y)…
A: Partial differential equation
Q: Find the differential equation of the family of spheres of radius r with Centre on the xy-plane
A: General form of the equation of the sphere with radius r and center on the xy plane is given by…
Q: 4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for…
A:
Q: Find the liner Jeneral integral of differential equations. ) (xy' -1) Int=24
A: Given:
i) calculate the total
z= x sinh(xy) + y^2 e^(x/y)
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- Find differential of the function y=(x^2+3)^3 dy=? dxWhen x=4 and dx=0.05, compute the differential.dy=(ii) Use differentials to approximate the increase in the area of a soap bubble when its volume increases from 36 cm³ to 37 cm³.Solve for dy/dx and dx/Find the second derivatives: y=(x^3+x+1)^2 y=(2x-1)^3(x+2)^3