Suppose the velocity function of a particle is given by y = 2 – t - t2 at any time t ( time is in seconds). What is the total distance traveled by the particle from t = 0 to t = 2?

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Q: 8. Evaluate the limit r sin 0 sin(20) lim 0-0 + 2 cos 0 tan 0

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Q: r(t) 3 A pump allows water to flow into a tank at the rate of r (t) = 3t liters per minute, where t ...

A: Rate of change, r(t) = d[c(t)]/dt  Where, c(t) is the amount of water at time t.

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A: Given is a step function. 

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Q: In(x) f f(x) = x10 ='(1) = 2, find f '(1). %3D

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x³ - 3x? + 4x- 12 2...

A: y = x3 - 3x2 + 4x - 12y = x2(x -3) + 4(x - 3)y = (x2+4)(x - 3)   X-intercept: (3, 0)    [Real values...

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A: P(x) = −(2x − 1)(x + 1)(x + 4)

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A: topic - application of derivatives

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Q: Suppose f (x, y, z) =D 를+끝, P= (1,2,4). A. Find the gradient of f. Vf * i+ j+ k Note: Your answers s...

A: Given :f(x,y,z)=xy+yz, P=(1,2,4)To find :  The gradient of f and the maximum rate of change of fat t...

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Q: - (つチ:O47unyzut C. the 91-で Letc yintercepts, pUO'gt 3tUl-人 the horizontal osymptotes, DUコ ちさ

A: Let's find. 

Q: 3. Find the equations of normal of the curve y = 2x- x-at (2, 0). Oa. 2x +y = 4 b. 2x - y = 2 C. X- ...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: 14. у %3D Sin-1 (Зх - 1) -3 3 Od. T-9x +6x Зх-1 O0. -9x+6x OCT-9x+6x Oa. V1-(3x-1)

A: Let's find. 

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)   (f−g)(7)=(f...

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

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Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A: NOTE:- YOU HAVE POSTED MULTIPLE PART QUESTIONS. SO WE WILL ANSWER FIRST THREE PARTS OF THE QUESTIONS...

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Q: Calculate the integral. (Express numbers in exact form. Use symbolic notation and fractions where ne...

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Q: e implicit differentiation to find an equation of the tangent line to the devil's curve,defined by y...

A: Follow the procedure given below.

Q: 1. Given a > 0 real, evaluate the following limit: V2a³x – x4 – aVa²x lim a – Vax³ Xa ах

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Q: , find the partial derivatives.

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Q: d/dx(sin 3x5) = 15x4 cos 3x5 %3D Select one: O True O False d/dx(1/csc x) = cos x Select one: O True...

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Q: (e* + y)dx + ( 2+ x+ ye' )dy =0

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