1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through
the point (-7, B).
a. Determine the value of ẞ.
b. Derive an expression to represent the gradient of the tangent line H that is
passing through the point (-7. B).
c. Hence, derive the straight-line equation of the tangent line H
2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4.
a. Derive an expression for the function p(q).
b. Determine the stationary point(s) of the function p(q)
c. Classify the stationary point(s) from part b. above.
d. Identify the local maximum of the function p(q).
e. Identify the global minimum for the function p(q).
3. Given that m(q)
=
-3e-24-169 +9
(-39-7)(-In (30-755
a. State all the possible rules that should be used to differentiate the function
m(q). Next to the rule that has been stated, write the expression(s) of the
function m(q) for which that rule will be applied.
b. Determine the derivative of m(q)
Safari
File Edit View History
Bookmarks
Window
Help
Ο Ω
OV
O mA
0 mW
ర
Fri Apr 4 1
222
tv
A
F9
F10
DII
4
F6
F7
F8
7
29
8
00
W
E
R
T
Y
U
S
D
பட
9
O
G
H
J
K
E
F11
+ 11
F12
O
P
}
[
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY