Math Problem Statement
1.18 Find the vector with the initial point P(4,3) and Q(−9,−4) the terminal point.
(2 Marks)
1.19 Given that u=<10,−1> and v=<10,−4> . Calculate |u−v| .
(2 Marks)
1.20 Given the point A has coordinates (2,7) and B has coordinates (4,11) find the vector rightwards arrow for B A of.
(2 Marks)
1.21 Perform the indicated operations and simplify your answer, (c+72)2 .
(3 Marks)
1.22 Simplify the following expression, 5(3t−4)−(t2+1)−4t(t−1) .
(2 Marks)
1.23 Solve for x in the equation cos(x)=−2√2 .
(2 Marks)
1.24 Convert log84096=4 to exponential form.
(2 Marks)
1.25 Given that f(x)=x+2 and g(x)=x2 . Find g∘f .
(2 Marks)
1.26 Given the function, f(x)=x2−5x+38 and g(x)=(x−17) . Find (f−g)(x) .
(2 Marks)
1.27 Use the table below to find (f+g)(−1) .
(2 Marks)
t
-3
-1
1
3
f(t)
12
8
-18
9
g(t)
-2
-7
-14
-9
Solution
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Math Problem Analysis
Mathematical Concepts
Vectors
Magnitude of Vectors
Vector Operations
Trigonometric Equations
Logarithmic and Exponential Equations
Function Composition
Formulas
Vector subtraction
Magnitude of a vector
Cosine function inverse
Exponential form of logarithm
Function composition
Theorems
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Suitable Grade Level
Grades 10-12
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