The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (Use M. to get the most precise estimate.) x ft v (ft/s) 45 30 15 t (seconds) 4 6

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A: Question: A 26 inch bicycle padaled so that the tires rotates at the rate of 200 revolution per…

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A: as we can see in graph velocity of object decreasing after (t=3 seconds)

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A:

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A: Given that

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A: Instantaneous velocity is given by the formula - f'(a) = fa+h-fa-h2hSubstituting a = 2,f'(2) =…

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A: Given that distance= s= 18 ft  and time = t = 3 min

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A:

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A: Taking upward direction is positive, u = 48 ft/s

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A:

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A:

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A:

Q: d. To simplify calculations, a student uses a tangent line approximation to P(t) at 1=0 as a model…

A: (d)

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A:

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A: Given: vt=-30t+70 We know that for any given velocity functionvt, displacements over given…

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A:

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A: In this question we need to find a velocity

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A: Given, Velocity function of a particle in motion is given by  v→t = 3t2 i→+ t+12 j→ + e2t+1 k→ To…

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A:

Q: The line y=x+b is tangent to the graph of y=x1/2 at the point: P=(a,a1/2 ). Find P and determine b.

A: Given, The line y=x+b is the tangent of the graph y=x12 at the point P=a,a12

Q: The velocity of an object moving along a line is given in the graph below for 0 <t < 8. At t = 0,…

A: Velocity time graph given in the figure.  Initial position=10 Find the position after t=5 And total…

Q: A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning at…

A: This question can be solved using the concept of trigonometry.

Q: The figure below shows the velocity, v, of an object (in meters/sec). Estimate the total distance…

A:

Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a)…

A: Given:      Graph is given

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A: The given graph is as follows:

Q: 50. Find an equation for a line that is normal to the graph of y = xe and goes through the origin.

A: Given: y=xex

Q: Suppose that the position (a) Find the velocity at tin v(t) = 17 S (b) Find the velocity at tin

A: topic:- application  of derivatives

Q: The velocity graph of a braking car is shown. Use it to estimate the distance, d traveled by the car…

A: Consider the given graph  Given acceleration a=15 and from the graph u=72a

Q: Consider a car whose position, s, is given by the table t (s) 00.20.40.60.8 1 s (ft) 00.3…

A: Topic:- calculus

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A: Consider the given velocity v=21mihr and t=20min

Q: Find the linear velocity of a point moving with uniform circular motion, if the point coversa…

A: Given: s = 10 ft and t = 5 min

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Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: A body above the surface of the earth is pulled toward the center of the earth. If the radius of the…

A:

Q: Find the linear velocity of a point moving with uniform circular motion, if the point coversa…

A: Known fact: linear velocity =distancetime

Q: The velocity of an object moving along a line is given in the graph below for 0<t< 8. At t = 0, the…

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Q: Speedometer readings for a vehicle (in motion) at 5-second intervals are given in the table. t (sec)…

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Q: According to Poiseuille's laws, the velocity V of blood is given by V= k(R? -?) where R is the…

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Q: . For what value(s) of x is the tangent to y = 5 (3x-12)4 horizontal? A) -103, 680 B) -4 C) 4 D)…

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Q: 3. How many more revolutions must the 20-inch bicycle complete to have the same linear velocity as…

A: Solution:

Q: || х? + у? — 4х — 21 3D 0, (5, 4)

A:

Q: The velocity of an object moving along a line is given in the graph below for 0 <t< 8. At t = 0, the…

A: Velocity time graph given in the figure.  Initial position=10 Find the position after t=5 And total…

Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 45…

A: To find: The distance covered by a point. Given: The velocity of the point is 45 mih and time is 12…

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: The given data are: The radius r of a right circular cylinder with a fixed height of 48 inches is…

Q: 49. rınd an equation for a line that is tangent to the graph of y = e and goes through the origin.

A: Given,            we have to find the equation for a line that is tangent to the graph of y=ex

Q: Use the graph of position,h(t), shown to estimate the velocity, v(t), at t = 1 seconds. 6. 10 Time…

A: Given the graph of position function ht

Q: The line y = mx + 1 is a tangent to the curve y? = 4x .Find the value of m.

A: We have to find the value of m for which the line y=mx+1 is a tangent to the curve y2=4x. First we…