Question

find the value of a & b when $x^4 - 2x^3 + 3x^2 - a(1) + b$ divided by $x-1$ and $x+1$ which leave the reminders 5 and 19 respectively

Answer 1

Step-by-step explanation:

Required Answer :

As per the provided information in the given question, we have :

Distance covered, s = 100 m

Average velocity, \overline{\nu}

ν

= 20 m/s

Final velocity, v = 25 m/s

We've been asked to calculate the initial velocity and acceleration of the car.

As we know that, average velocity is given by :

⇒ \begin{gathered}\boxed{\sf{ \overline{\nu} = \dfrac{v + u}{2} }}\\\end{gathered}

ν

=

2

v+u

v denotes final velocity

u denotes initial velocity

\overline{\nu}

ν

denotes average velocity

⇒ \overline{\nu}

ν

= (u + 25)/2

⇒ 20 = (u + 25)/2

⇒ 20 × 2 = u + 25

⇒ 40 = u + 25

⇒ 40 ― 25 = u

⇒ 15 m/s = u

Therefore, initial velocity of the car is 15 m/s.

Now, we need to calculate the acceleration of the car. By using the third equation of motion,

⇒ v² — u² = 2as

v denotes final velocity

u denotes initial velocity

a denotes acceleration

s denotes distance

⇒ (25)² — (15)² = 2 × a × 100

⇒ 625 ― 225 = 200a

⇒ 400 = 200a

⇒ 400 ÷ 200 = a

⇒ 2 m/s² = a

Therefore, acceleration of the car is 2 m/s².

Answer 2

Answer:

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Step-by-step explanation:

what is the name of lesson.