Answer:
bro what
Step-by-step explanation:
Answer:
(a)

(b)

(c)

Step-by-step explanation:
we are given
length is x+1

width is x+3

height is x-3

(a)
we can use volume formula

now, we can plug it

now, we can simplify it

(b)
we are given volume =1001
so, we can set V=1001
and then we can solve for x

now, we can factor it



(b)
we are given volume
so, we can set


and then we can solve for x

now, we can factor it




If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.