Answer:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 = -1
b ) q = √a/b
Step-by-step explanation:
a) lim x ⇒0 eˣ - x - 1cos(x) -1 ⇒ e⁰ -(0) - cos(0) -1 = 1-0-1-1 = -1
B) The weekly cost of the company is C(q) = a/q + bq
In cost equation the term a/q represent the ordering cost. In fact if q increase the ratio a/q decrece and the term bq represent the storage cost that will grow as the storage quantity increase
C(q) = a/q + bq Taking derivative C´(q) = -a/q² + b
-a/q² = -b ⇒ a/q² = b ⇒ q² = a/b ⇒ q = √a/b
![\bf 2^{\cfrac{}{}log_2\left(\frac{x^2+2x+2}{2} \right)} \\ -----------------------------\\\\ \textit{recall the log cancellation rule of }\qquad {{ a}}^{log_{{ a}}x}=x\\ -----------------------------\\ \\ thus \\\\ 2^{\cfrac{}{}log_2\left(\frac{x^2+2x+2}{2} \right)}\impliedby \textit{base of log and expression are the same, thus} \\\\\\ \implies \cfrac{x^2+2x+2}{2}\implies \cfrac{x^2}{2}+\cfrac{2x}{2}+\cfrac{2}{2}\implies \cfrac{1}{2}x^2+x+1](https://tex.z-dn.net/?f=%5Cbf%202%5E%7B%5Ccfrac%7B%7D%7B%7Dlog_2%5Cleft%28%5Cfrac%7Bx%5E2%2B2x%2B2%7D%7B2%7D%20%20%5Cright%29%7D%0A%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ctextit%7Brecall%20the%20log%20cancellation%20rule%20of%20%7D%5Cqquad%20%0A%7B%7B%20%20a%7D%7D%5E%7Blog_%7B%7B%20%20a%7D%7Dx%7D%3Dx%5C%5C%0A-----------------------------%5C%5C%0A%5C%5C%0Athus%0A%5C%5C%5C%5C%0A2%5E%7B%5Ccfrac%7B%7D%7B%7Dlog_2%5Cleft%28%5Cfrac%7Bx%5E2%2B2x%2B2%7D%7B2%7D%20%20%5Cright%29%7D%5Cimpliedby%20%5Ctextit%7Bbase%20of%20log%20and%20expression%20are%20the%20same%2C%20thus%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cimplies%20%5Ccfrac%7Bx%5E2%2B2x%2B2%7D%7B2%7D%5Cimplies%20%5Ccfrac%7Bx%5E2%7D%7B2%7D%2B%5Ccfrac%7B2x%7D%7B2%7D%2B%5Ccfrac%7B2%7D%7B2%7D%5Cimplies%20%0A%5Ccfrac%7B1%7D%7B2%7Dx%5E2%2Bx%2B1)
and pretty sure you can take the derivative of that
Answer:
a) 1
Step-by-step explanation:
3(x + 1) = -2(x - 1) +6
3x + 3 = -2x + 2 + 6
3x + 3 = -2x + 8
Subtract 3 from both sides
3x + 3 -3 = -2x + 8 -3
3x = - 2x + 5
Add 2x to both sides
3x + 2x = -2x + 5 +2x
5x = 5
Divide both sides by 5
5x/5 = 5/5
x = 1
1 is 7
and
2 is 1
i hope this is right i haven’t done this math in a while
Answer:
x= 1
QS = 10 cm
QRS = 40cm
Step-by-step explanation:
4x + 1 = 5x
x= 1 cm
QS = 4x + 1 + 5x
= 9x + 1
= 9 + 1
= 10cm
QRS perimeter
QS + RQ + RS but ( RQ = RS)
= 10 + 15 + 15
= 40cm