Question

**Simplify to reach 3 product terms each of 2 variables
only. X’YZ + XYZ’ + XYZ + XY’Z**

Answer #1

**The given expression is:**

**X’YZ + XYZ’ + XYZ + XY’Z**

**The solution of above expression is given
below:**

= **X’YZ + XYZ’ + XZ(Y + Y’)**

**= X’YZ + XYZ’ + XZ (By using
complement law, X + X' = 1)**

**= X’YZ + X(YZ’ + Z)**

**= X’YZ + X( Z + Z’Y)**

**= X’YZ + X( Z + Y) (Because X + X'Y = X +
Y)**

**= X’YZ + XZ + XY**

**= Z(X’Y + X) + XY**

**= Z(X + X’Y) + XY**

**= Z(X + Y) + XY (Because X + X'Y = X +
Y)**

**= ZX + ZY + XY**

**= XY + ZY + ZX**

**= XY + YZ + ZX**

This result has three product term and each of two variable only.

Simplify to reach 3 product terms each of 2 variables
only.
X’YZ + XYZ’ + XYZ + XY’Z

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4) Use a sum to product formula to rewrite sin 2x – sin 5x as
the product of two trig functions.
Step by Step please
5) Use a product to sum formula to rewrite sin(2x) * sin(5x) as
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Multiply out to get SOP of 3 terms each of 3
variables.
(B + C’ + D’) (A’ + B + C) (A’ + C’ + D) (A’ + C) (C + D)

Multiply out to get SOP of 3 terms each of 3 variables.
(B + C’ + D’) (A’ + B + C) (A’ + C’ + D) (A’ + C) (C +
D)

Find the derivative of each function. Do Not Simplify!
a) ? = √? (7 − 3?)
b) ?(?) = √(11? − 2?3)
c) ? = 4?3?-5x
d) ? = x3/ lnx2

Find the derivative and simplify completely
?(?) = ??^(2?+3)
?(?) = 5?^2 − ln(? + 3)

Find the derivative and don't simplify.
a) [ x^3 (1+x^2)^4 ] / (x^3 + 1)^2
b) (1-x^4) / [(x^4)(1+x^2)^3]
Grade 12 Calculus, Chapter - derivatives (chain rule, product
rule, power rule, quotient rule).

Company XYZ is considering outsourcing their Product A.
Facts:
1) Product A makes up 30% of a companies sales revenue and
production volume
2) By reducing sales price 5%, can increase unit sales volume by
15%
3) Product A sales were $27 million last year
4) Direct material costs for Product A were $14.3 million and
overhead costs were $4.2 million
5) If product is outsourced, only $2.9 million overhead will be
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6) Direct selling costs are 8% commission...

XYZ sells 20,000 units of Product A each year. The unit selling
price of Product A is $80, and the unit variable expenses are $72.
An investigation shows that $140,000 of the $240,000 fixed expenses
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discontinued. If Product A is discontinued, what is the annual
financial advantage (disadvantage) of eliminating this product?
$60,000
($80,000)
($60,000)
$80,000

Simplify:
3/ x2 +
5x + 4 + 2/ x2 - 1

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