Posted: July 30th, 2021

Math essay

Math 150 Examination three

Differentiate.

1. y = (2 + x)√x

2. okay(r) = e r – r e

three. F(t) = At / (Bt2 + Ct3)

4. f(t) = t sin πt

5. J(θ) = cot 2 (nθ)

6. R(t) = arcsin (1 / t)

7. y = ln (csc x – tan x)

eight. y = (√x) x

9. y = tan-1 (x2)

10. y = (sin x)ln x

Uncover the prohibit. No L’Hospital pointers since we did not be taught however.

11. lim (sin Ax) / (sin Bx) (A > zero, B> zero)

x -> zero

12. lim (1 + ax) b / x

x -> zero+

13. A particle strikes in line with a regulation of motion s = f(t).

f(t) = t2 e –t

(a) Uncover the velocity after 1 second.

(b) Uncover the acceleration after 1 second.

14. At noon, ship A is 150 km west of the ship B. Ship A is crusing east at 35 km/h and ship B is crusing north at 25 km/h. How briskly is the hole between the ships altering at 4:00 pm?

15. Uncover the linearization L(x) of the function at a.

f(x) = sin x, a = π/6

16. Uncover the differential of y.

(a) y = ln (sin θ)

(b) y = 2x

17. Uncover y”.

y = tan θ sec θ

18. Uncover y ‘ by implicit differentiation.

cos(xy) = 1 + sin y

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