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Mathematics Questions & Answers

Q:
Which of the following best represents polynomial equation
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Evaluate \( \frac{d}{d x} \int_{a}^{x} f(t) d t \) and \( \frac{d}{d x} \int_{a}^{b} f(t) d t \) where a and b are constants \( \frac{d}{d x} \int_{a}^{x} f(t) d t=\square \) (Simplify your answer)
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2) \( 10 y+3=2 y-1 \)
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Suppose that \( y \) varies directly with \( x \), and \( y=15 \) when \( x=6 \). (a) Write a direct variation equation that relates \( x \) and \( y \). Equation: \( \frac{5}{2} \) (b) Find \( y=\frac{40}{2} \)
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Q Question 3, 11.1.15 You are taking a multiple-choice test that has 4 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?
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Suppose \( F \) is an antiderivative of \( f \) and \( A \) is an area function of \( f \). What is the relationship between \( F \) and \( A \) ? Choose the correct answer below A. \( F(x)=A(x) \) B. Both \( F \) and \( A \) are antiderivatives of \( f \) varying by some constant \( C \) C \( F(x)=A^{\prime}(x) \) D \( A(x)=F^{\prime}(x) \)
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Hallar la ecuación de una función lineal que pase por el punto \( (1 ; 3) \) y tenga pendiente 4 . Hallar la ecuación de la recta que sea paralela a \( Y=\frac{5}{3} X+4 \), y que pasa por el punto \( \left(-1 ;-\frac{2}{3}\right) \). Graficar ambas rectas. Hallar la ecuación de la recta que pase por los puntos ( \( 2 ; 6) \) y \( (-3 ; 1) \), Hiego determinar una recta perpendicular a la anterior que pase por el origen de coordenadas. Graficar ambas rectas. Hallar la ecuación de la recta que sea perpendicular a \( \frac{1}{5} X-1+Y=0 \), y que pase por el punto \( (1 ;-1) \).
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\begin{tabular}{l} Fundamental \\ \( K \quad \) An ice cream store sells 2 drinks, in 5 sizes, and 4 flavors. In how many ways can a customer order a drink? \( 0 \%, 0 \) of 5 points \\ \hline\end{tabular}
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1) \( 2 x+8=6 x-2 \)
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3 Using the digits \( 2,3,4 \) and 5 in that order, and the symbois \( \times,-,+ \) in any order, write a mathematical expression that equals 9 . You may need to use brackets.
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