MASC 0009 German University of Technology Acceleration Function Math Worksheet please solve all questions ( see attached picture). . . . . . . . . . . . .

MASC 0009 German University of Technology Acceleration Function Math Worksheet please solve all questions ( see attached picture). . . . . . . . . . . . . .. . . Assignment Tasks:
1. a. Evaluate the following limit:
(8 marks)
2-4
VX-2
(3×2+kx+k+3
b. Find the number k such that lim
X-2
exists, then find the limit
(7 marks)
MEC_AMO_TEM_034_01
Page 1 of 7
Engineering Mathematics-1 (MASC 0009.2) – Spring – 2020- CW (Assignment-1) – All – QP
2. a. A particle moves in a straight line along with the x-axis its displacement is given by the
equation s(t) = 5t3 – 8t2 + 12t +6,0 > 0, where t is measured in seconds and sis measured in
meters. Find:
1. The velocity function of the particle at timet
(2 marks)
ii. The acceleration function of the particle at time t.
(2marks)
iii. The acceleration after 5 seconds
(1marks)
)
b. Find the derivative of y = sin(3-2) + tan? (3×2 – 4x) – csc(v2x – 1 )and express your
answer in terms of sin and cos only
(15marks)
3. Find the derivative of f(x) = tan (5x + 7), by first principle of differentiation
(10 marks)
4. Find the points of local maxima and minima for the function f(x) = x – 18×2 – 9
(10 marks)
5. a. For which value of n, does the lim
-ny*+16n
(5 marks)
1-2 32-ys=2
b. Evaluate the following limits:
7x cos()-7X
lim
lim
(sin(-2x) sin(5x)sin(7x)]
5×2
2x cos(x)
(10 marks)
X-0
X-0
6. Evaluate limf(x), where f is defined by f(x) =
(x2, x
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