9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters) after t seconds is given by H(t) = 10t-1.8612. (Use Derivative Rules) (a) Find the velocity at time t. (b) With what velocity will the rock hit the surface?

Q: (b) Use the fast factoring algorithm to compute 213 (mod 29).

A: (b) Exponentiation property: AB(mod c)=A mod cB(mod c) Since 213 is a really large number we split…

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A: The solutions are given for asked question 4A and 4B as

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A: According to the given information in this questionwe need to answer part b

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A: The given initial value problem is: (t-2)(t+3)dydt+(t-5)y=t4+1 ;       y(-1)=7

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Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

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Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: III 1. dt2 fip +6- dt and the gen +8y=2e-3t am to nor 2. d'y dt2 fip +4 +13y=et dt 3. +10y = e

A: The objective is to find the general solution of the given differential equation.