MHF4U4-C, End of unit 2 assignment The solution to the following problems MUST be submitted to D2L by 11:59 pm on Wednesday Oct 11. Submit ONE PDF of your solutions. 1. Determine the value of c such that when P (x) = 2x³- cx² + 4x - 7 is divided by x - 2, the remainder is -3. 2. Determine all the zeros of the following polynomial then write the polynomial in factor form. f(x)=3x³x²-3x + 1 3. A box with a lid is to be made from a 96 cm by 48 cm sheet of metal. It is cut and folded as shown in the figure. If the box must be at least 12 cm high, what size squares should be cut from the corners in order for the box to have a volume of 9600 cm³? (2.3 12) 4. a) Determine an equation for a family of functions with zeros at 1 ± √5, -3, and 1/3. b) Determine an equation for the family member whose graph passes through the point (-2,-7). (2.4 12) x C+L x I I I I 96 x 48 5. A square-based pyramid has a height that is twice its base length. a) Determine an equation to represent the volume of the pyramid, in terms of the base length. b) What are the domain
MHF4U4-C, End of unit 2 assignment The solution to the following problems MUST be submitted to D2L by 11:59 pm on Wednesday Oct 11. Submit ONE PDF of your solutions. 1. Determine the value of c such that when P (x) = 2x³- cx² + 4x - 7 is divided by x - 2, the remainder is -3. 2. Determine all the zeros of the following polynomial then write the polynomial in factor form. f(x)=3x³x²-3x + 1 3. A box with a lid is to be made from a 96 cm by 48 cm sheet of metal. It is cut and folded as shown in the figure. If the box must be at least 12 cm high, what size squares should be cut from the corners in order for the box to have a volume of 9600 cm³? (2.3 12) 4. a) Determine an equation for a family of functions with zeros at 1 ± √5, -3, and 1/3. b) Determine an equation for the family member whose graph passes through the point (-2,-7). (2.4 12) x C+L x I I I I 96 x 48 5. A square-based pyramid has a height that is twice its base length. a) Determine an equation to represent the volume of the pyramid, in terms of the base length. b) What are the domain
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:MHF4U4-C, End of unit 2 assignment
The solution to the following problems MUST be submitted to D2L by 11:59 pm on
Wednesday Oct 11. Submit ONE PDF of your solutions.
-
1. Determine the value of c such that when P (x) = 2x³ = cx² + 4x - 7 is divided by x - 2,
the remainder is -3.
2. Determine all the zeros of the following polynomial then write the polynomial in
factor form.
f(x)=3x³ - x² - 3x + 1
3. A box with a lid is to be made from a 96 cm by 48 cm sheet of metal. It is cut and
folded as shown in the figure. If the box must be at least 12 cm high, what size squares
should be cut from the corners in order for the box to have a volume of 9600 cm³?
(2.3 12)
4. a) Determine an equation for a family of
functions with zeros at 1± √5, -3, and 1/3.
b) Determine an equation for the family member
whose graph passes through the point (-2,-7).
(2.4 12)
$
4
R
5. A square-based pyramid has a height that is twice its base length.
a) Determine an equation to represent the volume of the pyramid, in terms of the base
length.
b) What are the domain and range of the function if the base must be at least 1 cm²
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7
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