Electric Power- P= fCE,R) R2 = E %3D Eismeasured to be 10 with max error of 0.3 his measured to be 2 0 22 ua xou 4t m 0.2 use total Differential to estimate relative error in t.

Q: Higher Order Linear Differential Eqation (D2-2D+10)2y=0

A: We will solve the problem

Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r…

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Q: general equation of (z-t)dz=(z+t)dt

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Q: 22) A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches.…

A: Here we want to find the error in  computing volume of the sphere, error in the radius of the sphere…

Q: 3. The edges of a cube are measured to be 5cm long, with a maximum possible error of 0.1cm. Using…

A: Given : Length (s) = 5 cm  Error (ds) = 0.1

Q: A particle moves along a line with a velocity v(t) = t“ – 2t + I, measured in meters per second.…

A: It is given that, velocity v(t)=t2-2t+1 we have to find net displacement of the particle from time…

Q: The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. a.…

A: Volume of the sphere formula is 43πr3 V=43πr3dVdr=43π·3r2drdV=4πr2·dr dr is the estimated error…

Q: calculate the total differential dz for  z= x sinh(xy) + y^2 e^(x/y)

A: Given: z=xsinh(xy)+y2exy .

Q: A fluid has density 810 kg/m³ and flows with velocity v = zi + y²j+x< k, where x, y, and z are…

A: To find F, multiply the density ρ and the velocity v. ρ=810v=zi+y2j+x2kF=ρv=810zi+y2j+x2k Thus,…

Q: Given z = x²(1 +y)³, the value of (x,y) changes from (2,9) to (2.03,8.9). Use the total differential…

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Q: 3.) The radius of a sphere is claimed to be 6in., with a possible error of 0.02in. Use differentials…

A: Given that  radius of sphere (r) =6 in error (dr) = 0.02 in

Q: A particle has velocity v(t) = 3t² – 2t – 1, measured in meters per second. Compute the displacement…

A: A  particle has velocity  vt=3t2-2t-1, measuredin meters per second, compute  the displacement  of…

Q: co-efficient of restitution between A and B is 'e'. Determine the Block A of mass m is released from…

A: Solution:

Q: Using a Differential as an Approximation f(x, y) = x cos y, find f (2, 1) and f (2.1, 1.05) and…

A: the given function is z=f(x,y)=xcosy

Q: Determine the general sulution of the given differential y" pzy" ty= It#) Sint

A:

Q: A jar contains 100 mL of a certain substance which, when heated to tt degrees Celsius contains E(t)…

A: Given: Et=2.3t2-4.5δt=0.2t=60 To determine: The value of dEdt and the possible error in the…

Q: Find the differential of the function y= 1/√(u^2+v2), where u and v are differentiable functions of…

A:

Q: Using total differentials, find the approximate change of the given function when a changes from 1…

A:

Q: (a) Use total differential to find the approximate value for f(-0.07, 2.98) if f (x,y)=x²y-2xy-6,…

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Q: The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use…

A: In this question, we need to find maximum error, relative maximum error and percentage error. Let r…

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: topic - derivatives

Q: Value of constan y=mx+nis differential 2²y+13 dy ५ 3

A:

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A:

Q: Q.2. The side of a cube is measured with a possible percentage error of ±2%. Use differentials to…

A: Using differential

Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

A:

Q: The radius of a sphere was measured and founded to be 21cm with a possible error in measurement of…

A:

Q: Let y = tan(3x + 2). Round all answers below to 5 decimal places. Find the differential dy when x =…

A: Given, y = tan(3x +2 ) So,  dy/dx = sec2 (3x +2) * 3          (because d[tan(ax + b]/dx = sec2[ax…

Q: Question in pic below.

A: Use spherical coordinates to parametrize the hemisphere.Consider

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: Here, given that the cylindercal shell has h thickness dx=0.2 cm. Usinf differential, approximate…

Q: Find the differential of the function f(x,y)=−5x√y at the point (8,2)(8,2) using Δx=0.25Δx=0.25 and…

A:

Q: A cylindrical tank (with a circular base) is filled with a water that is draining through a small…

A:

Q: A particle moves along a line with a velocity v(t) = - - 2, measured in meters per second. Find the…

A:

Q: The volume of a regular circular cylinder is V= ar2h. The height, h, was measured exactly to be 2…

A: In this question, we need to calculate the percentage error in volume.

Q: Transform into first order linear form the differential equation (1 cos z) y' sinz (sin z + sin…

A: The given differential equation is                                  (1+cos x)y'=sin x (sin x+sin x…

Q: 23cm with a maximal error in measurement Of 0.3cm. Use differentials to estimate the fo1owing folo…

A: To Determine: the radius of a circular disk is given by as 23cm with a maximal error in measurement…

Q: Find the differential of the function f(x, y) = - x/y at the point (6, 2) using Ax = 0.1 and Ay =…

A: Consider the provided question, We need to find the differential of the function fx,y=-xy at the…

Q: Bt e' dt e integration by parts formula so tha 8te'+ [(ste ) « 8e Be') dt ete - [(8c") at

A: The integral is given as , ∫8 tet dt. Solving by integration by parts,  Apply the formula for…

Q: Transform into first order linear form the differential equation (1 cos z) y' sinx (sin r + sin…

A:

Q: Given z = x?(1 + y)³, the value of (x,y) changes from (2,9) to (2.03,8.9). Use the total…

A:

Q: he radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. (a)…

A: Given, radius is 4 cm and the possible error is 0.025 cm. Part a: The volume of the sphere with…

Q: w cylinder has a radius R of the outer surface, radius r of the inner surface and height h. R is…

A:

Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 16t – 8 m/s over…

A: Topic = Application of integration

Q: Q#3. The radius and height of a right circular cone are measured with errors of at most 1% and 4%,…

A: Given that: Percentage error in radius of  cone = 1%Percentage error in height of cone = 4%

Q: 2) Test if the given differential is homogeneous or not. If it is homogeneous, determine its degree.…

A: In the given question we have to check the given function f(x,y) s.t f(x,y)=2y+x2+y2 is homogeneous…

Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the…

A: We will find the rate of change of radius.

Q: OSolve the exaat differential equar x+8xy)dx (4x²+l8y)dy=0

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: Transform into first order linear form the differential equation (1 cos z) y' = sinx (sin z + sin…

A:

Q: Find the differential of the function f(x, y) Ay = 0.05 . - 8x y at the point (4, 5) using Ar = -…

A: Given; The given differential function fx,y=-8xy at the point (4,5) using ∆x=-0.3  and ∆y=0.05

Q: I. Let z = f( x,y) = xy² Find the equation of the tangent when x = 1, y = 2 Find the equation of the…

A: given z=f(x,y)=xy2first find partial derivative of…

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

A: