In the following exercises, solve 462. Jing is going to throw a ball from the balcony of her condo. When she throws the ball from 80 feet above the ground, the function h ( t ) = − 16 t 2 + 64 t + 80 models the height, h , of the ball above the ground as a function of time, t . Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 128 feet above the ground. (c) the height the ball will be at t = 4 seconds.
In the following exercises, solve 462. Jing is going to throw a ball from the balcony of her condo. When she throws the ball from 80 feet above the ground, the function h ( t ) = − 16 t 2 + 64 t + 80 models the height, h , of the ball above the ground as a function of time, t . Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 128 feet above the ground. (c) the height the ball will be at t = 4 seconds.
462. Jing is going to throw a ball from the balcony of her condo. When she throws the ball from 80 feet above the ground, the function
h
(
t
)
=
−
16
t
2
+
64
t
+
80
models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 128 feet above the ground. (c) the height the ball will be at
t
=
4
seconds.
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Let & be linear map from as Pacex into aspace
and {X1, X2, –
1—
x3 basis for x show that f
a one-to-one isf
{f(x1), f (xx); — F (Kn) } linearly independent.
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let M be a Proper sub space of aspace X
then M is ahyper space iff for any text&M
X=.
C) let X be a linear space and fe X1{0}
Show that is bjective or not and why?
***********
Q₁/(a) Let S and T be subsets of a vector space X over a field F such that SCT,show
that whether (1) if S generate X then T generate X or not. (2) if T generate X
then S generate X or not.
(b) Let X be a vector space over a field F and A,B are subsets of X such that A is
convex set and B is affine set, show that whether AnB is convex set or not,
and if f be a function from X into a space Y then f(B) is an affine set or not.
/(a) Let M and N be two hyperspaces of a space X write a condition to prove
MUN is a hyperspace of X and condition to get that MUN is not hyperspace of X.
Write with prove
application
n Panach theorem
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