Use differentials (that is, linear approximation) to approximate: 3.9 -e 0.05 483 O A. 250 193 О В. 100 59 ОС. 30 None of the other choices O D. 29 O E. 15

Q: Use differentials to find the value of  GIve anser to two decimal places.

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Q: Find the differential of the function. p = 39 - 8q3/2 dp 252.81

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Q: Suppose that a car gradually speeds up so that for the first 10s its acceleration is given by dv…

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Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2…

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Q: A particle that moves along a straight line has velocity v ( t ) = t 2 e − 5 t v ( t ) = t 2 e - 5 t…

A: →v(t) = ds(t)dt→Use integration by parts.

Q: 16. F(m, r) = Gm/r² at (100, 10)

A: We wil use rules related to multi variable calculus to solve this.

Q: An object with an initial velocity of – 85 m/s undergoes an acceleration of a(t) = 6t + 18 m/s“, t…

A: Given, v=-85 at t=0. a=6t+18

Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from O a fixed…

A: Particle position w.r.t time.

Q: 9. What is the relation between the acceleration a(t) and velocity V(t) at a given time t? [C:2]

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Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

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Q: Use a linear approximation (or differentials) to estimate the given number.

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Q: b. A thermistor is being used to measure temperature. For a given resistance Rthe temperature is…

A: The temperature, T for a resistance R is given by, T=1T0+1βlnRR0−1

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: An object with an initial velocity of v(0) = 5 has an acceleration of a(t) = t² - 5. What is its…

A: Concept: The acceleration is given by the derivative of the velocity  That is a(t)=dv(t)dt Thus…

Q: Use differentials to approximate V42. b Express your answer as a ±- where a is the nearest integer.…

A: Use differential to find the (42)1/3

Q: 4) aresing inx + Vy?-x? =1 find t he value of the second order derivative at the point(0,1) for this…

A: We can written as, acrsinxy =sin-1xy By derivative formula we know that, d2yd2x=ddxdydx and…

Q: The acceleration function of a particle moving along a line is given by: a ( t ) = 2 t + 3 in m / s…

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Q: Q5. Suppose that v(t) represents the escape velocity in km/hour for a spacceraft orbiting a…

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Q: A parachutist of mass m falls from rest in the Earth's gravitational field and is subjected to mg…

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Q: The base and height of a triangle are measured as 32 inches and 14 inches, respectively. Suppose…

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Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

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Q: -, A particle starts at (5, 0) when t = 0 and moves along the x-axis in such a way that at time t >…

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Q: In Winter an aluminum beam was brought from the outside cold into a machine shop where the…

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

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Q: The position of a particle at time tis s(t) = 2t 3• Compute the average velocity over the time…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 – 5t + 15,…

A: Given: s=t2-5t+15, where t is measured in seconds

Q: Use differential approximations in the following problem.   A company will sell N units of a product…

A: A company will sell N units of a product after spending​ $x thousand in​ advertising, as given by…

Q: 4- If velocity of a particle is given by v 10 + 2t2 m/s, the average acceleration between 2 sec and…

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Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: 2. A plane travels 560 km from Los Angeles to San Francisco in 1 hour (h). If the plane's velocity…

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Q: A circle has a radius of 9 cm. If the radius is increased by 0.2 mm, using differentials, what is…

A: We have to find the increase in area

Q: Suppose the formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74…

A: answer is in next step . please give a like !!

Q: The power consumed in an electrical resistor is given by P = watts. Use R differentials to…

A: The electrical power is given as P=E2R Differentiate with respect to R dPdR=R×dE2dR-E2×dRdRR2…

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

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Q: Recall that the volume V of a circular cylinder with a base of radius r and height h can be…

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Q: Suppose that a furniture removal truck gradually speeds up so that for the first 10s its…

A: We will find out the required values.

Q: Grass clippings are placed in a bin, where they decompose. For 0 sts 10 , the amount of grass…

A: First find the Linear approximation function of the A(t) then solve the problem.

Q: Approximate y at x=2.1 and x=5.8 , using appropriate Newton interpolation formula. 4 f(x) | 1 1/3…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: An object of mass m falling near the surface of the earth is retarded by air resistance proportional…

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Q: (B) Using Differential theorem : find the approximate value V (64.001 + 36.003)

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Q: 5) Approximate the values by using differentials: a. V99 b. e0.1 c. 2.015

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Q: A particle moves along a straight line so that after t (seconds), its distance from Oa fixed point…

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

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Q: 7. Find the linear approximation to f(1) = VI at a = 27. a. Use it to approximate 27.2. b. Use a…

A: Given problem:- Find the linear approximation to f(x)=(27)(1/3) at a = 27 . a. Use it to approximate…

Q: Let v(t) = t2 – 10t be the velocity, in ft/sec, of an object at time t, in seconds. a) What is the…

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Q: Q 10 Show that for motion in a straight line with constant acceleration a, initial velocity vo , and…

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Q: Q2. A particle moves along a straight line so that after t (seconds), its distance from Oa S = t³ –…

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