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Q:
Complete the sentence below. Suppose that the graph of a function \( f \) is known. Then the graph of \( y=f(-x) \) may be obtained by a reflection about the -axis of the graph of the function \( y=f(x) \). Suppose that the graph of a function \( f \) is known. Then the graph of \( y=f(-x) \) may be obtained by a reflection about the -axis of the graph of the function \( y=f(x) \).
Q:
Evaluate the integral \( \int \sin(5t) \cos(5t) \, dt \) by making an appropriate substitution.
Q:
b. \( \left(-7 p^{3} q^{2}\right)^{2} \times 2 p q^{4} \)
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What is \( 8-7 x+2 y-3 x+2 y+3 \) written in simplest form?
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\( \int _ { 0 } ^ { \frac { 1 } { 2 } } e ^ { x ^ { 2 } } = \)
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What is \( 4 a+7 c-2-5 a+2 c \) written in simplest form?
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\( ( 7 \times 5 ) \quad \bmod 6 \)
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Find the sum of these polynomials: \( (x^{4} + x^{3} - 3x + 2) + (2x^{4} - 4x^{3} + 5) \)
Q:
QUESTION TWO Express each of the following as a single, simplified fraction. 2.1. \( \frac{4}{9}-\frac{2}{3}+\frac{7}{12} \) 2.2. \( \frac{-8}{13} \times \frac{5}{24} \div-\frac{25}{13} \) 2.3. \( \left(\frac{3}{7}+\frac{1}{4}\right) \times\left(2-\frac{69}{38}\right) \)
Q:
QUESTION 3 3.1 \( \begin{array}{l}\text { Given the number pattern } 2 ; y ; 8 ; \ldots \\ \text { Determine the value of } y \text { if: } \\ \text { 3.1.1 The number pattern is linear. } \\ \text { 3.1.2 The number pattern is quadratic and } T_{4}=2+5 y .\end{array} \)
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