Q. 1 The velocity of a particle at time t from a point on its path is given by the table 0 10 47 58 Time (t) 20 30 40 50 60 Velocity (v) 64 65 61 52 38 Estimate velocity at t= 55 sec using five data points in interpolation method.

Q: 2. The distance r, measured in metres, of a downhill skier from a fixed point is measured at…

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Q: find the interpolation points and the control points for the Bézée curve:   X(t)=1+6t^2+2t^3…

A: Hint: consider   (x1,y1)   and     (x2,y2)   are interpolating points and    (x3,y3)   and…

Q: 5. e+ e = C1 %3D

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Q: The table shows the position of a cyclist. t (seconds) 012 3 4 5 s (meters) 0 1.1 5.4 10.8 17.4 24.8…

A: a) (i) Obtain the average velocity on [1,3] fb-fab-a=f3-f13-1=10.8-1.12=9.72=4.85ms (ii) Obtain the…

Q: Two stationary patrol cars equipped with radar are 5 miles apart on a highway, as shown. As a truck…

A: Given: Distance between the two stationary patrol cars is 5 miles Time taken by a truck to cover the…

Q: An 37. Calculate coeff. of Q.D. and Bowley's coeff. of skewness from the data given below: Profits…

A: We want to find coefficient of QD and Bowley's coefficient of skewness.

Q: Suppose an object's velocity function is given by v (t) = 2t + 3, over the time interval [0, 4].…

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Q: 2.17. A load cell is calibrated in an environment at a temperature of 21°C and has the following…

A: Solution

Q: he table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.5 4.8 10.1 17.5…

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

Q: Shown here is a table of the vapor pressure of Vapor Pressure (kPa) benzene and toluene. Temperature…

A: Given: Temperature Vapor Pressure(kPa)     Benzene Toluene 80 116.9 46.0 90 135.5 54.0 95…

Q: 18. The following data gives the velocity of a particle for 20 seconds at an interval of 5 seconds.…

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Q: A particle is moving with the given data. Find theposition of the particle.   v(t)  =1.5√ t-Cost…

A: Given velocity function is v(t) =1.5t- cos t  And position at t = 4 is  s(4)  =10. The power rule of…

Q: The table shows frequency of cloud cover in Minneapolis,t Frequency of Cloud Cover over Minneapolis…

A: Since you have asked multiple part question, we will solve the first 3 subparts of the question for…

Q: H.W. Find y at x = 2.8 for the data in table :- 4 Yi 2 3.5 2.3 188 2.

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Q: What is the equation of the normal line to the curve x2 + y2 – 6x –2y=0 at (2,4)? A none of the…

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Q: What is the equation of the normal line to the curve x2 + y2 - 6x-2y=D0 at (2,4)? none of the given…

A: Given curve is: x2+y2-6x-2y=0To find equation of normal to curve at (2,4), we need slope of line at…

Q: 19. Consider the position function s(t) = -16t² + 128t. Find the average velocity on the interval…

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Q: Aresearcher studies water clarity at the same location in a lake on he depth (in inches) at which it…

A: This is a pair test. sample size (n) = 6 mean (d̄)       =  Σd/n                          = -23.9/6…

Q: 2 4 Find an equation of the normal line to the curve 3x¯y' – x°cos(ny) + 4x + 2 = 0 at the point…

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Q: Under the MSE criterion, we want to find the best linear prediction model for Y3 based on X: Y3 = ߢ…

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Q: The table shows the position of a cyclist. t (seconds)     0 1 2 3 4 5 s (meters)     0 1.6…

A: The average velocity for [1,3] = 4.65Answer: a) i) 4.65

Q: Calculate coefficient of Q.D. and bowley 's coefficient of skewers from the data given below:…

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Q: 9. The following table gives the velocity, v of an object at various points in time, t. Time, t…

A: given table  time t 1.7 1.8 2.2 2.4 velocity vm/sec 10.2 11.0 13.2 14.7 find acceleration…

Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

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Q: 7

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Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 7. x = 3(y – c);

A: Here we have to find the orthogonal trajectories of the given family of curves.    x3 = 3(y-c)

Q: 9. Consider the position function s(t) = -16t2 + 128t. Find the average velocity on the interval…

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Q: Example 8.16. The velocity v of a particle at distance s from a point on its linear path is given by…

A: This problem is solved using Boole's Rule.

Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x°(1– cx);

A: We have to solve

Q: 2. The kinematic viscosity, µ of an oil with variation in temperature, T was found to be as follows:…

A: T μ 1 2.5×10-3 20 5.5×10-4 40 1×10-4 60 5×10-5 80 2×10-5 100 1.2×10-5 120 6×10-6…

Q: Two Models estimaled rates of Country over the period 1970- 2002 are MODEL 1:- 66.98-2-764DP-8.98CPI…

A: From the given information, Both model can be expressed with all required information: Model 1:…

Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.8 10.7 17.1…

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Q: In a time of t seconds, a particle moves a distance of s meters from its starting point, where s =…

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Q: Find the equation of the normal line to the indicated curve at the given point. 2 y = 4x+8 at Select…

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Q: (b) The perceived decrease in air temperature felt by the body on exposed skin due to the flow of…

A: According to question, Given function,W = 13.12 + 0.6215 T - 11.37 v0.16 + 0.3965 T v0.16,actual…

Q: X 1,3 2,1 3,4 f(x) 2,6 3,5 3,2

A: Newton's divided difference formula is: fx=y0+x-x0fx0,x1+x-x0x-x1fx0,x1,x2 Now, we draw the divided…

Q: The following data is provided for the velocity of an object as a function of time t, s V, m/s 4 8…

A: (1).

Q: 18. Find the equations of the normal lines to the curve y = x3 - 4x that is parallel to the line x…

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Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x*(1 – cx);

A: The given equation is y2=4x21-cx. Find the orthogonal trajectories of the given family of the curve.

Q: The table shows the position of a cyclist. t (seconds) s (meters) 0 1.1 4.8 10.3 17.6 26.1 (a) Find…

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Q: I monitor the absorbance of Compound E as it reacts with an excess of NaOH, and see the following…

A: The formula for the central difference approximation at x is f'(x)≈f(x+h)-f(x-h)2h where h is the…

Q: What is the equation of the normal line to the curve x2 + y² - 6x - 2y=0 at (2,4)? A x+3y- 10 = 0…

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Q: Q1 The following data is provided for the velocity of an object as a function of time: ts V, m/s 4…

A: The trapezoidal rule is used to calculate the numerical integration over a region. The formula used…

Q: Consider the position function s(t) = -16r +1001 . Complete the following table with the appropriate…

A: Consider the position function  s(t)=−16t2+100t

Q: What is the equation of the normal line to the curve x2 + y² – 6x – 2y=0 at (2,4)? A x+3y- 10 = 0 В…

A:

Q: determine the equation of the orthogonal trajectories of the following families curves: e^x+e^-y=C1

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Q: What is the equation of the normal line to the curve x2 + y2 – 6x – 2y=0 at (2,4)? (A) х+3у+ 10%3D0…

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Q: In a time of t seconds, a particle moves a distance of s meters from its starting point, where s =…

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Q: 30 a) Find the curve fit y =: 1+ Dx using the data linearization for the given points. Yk 1 2 4 PMC…

A: (a) Given, the curve fit                  y=301+DxA                           (1)      and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.