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mathematics
calculus with applications

Questions and Answers of Calculus With Applications

Evaluate each expression. Write all answers without exponents.50
Evaluate each expression. Write all answers without exponents.(–3/4)0
Evaluate each expression. Write all answers without exponents.–(–3)–2
Evaluate each expression. Write all answers without exponents.–(–3–2)
Evaluate each expression. Write all answers without exponents.(1/6)–2
Evaluate each expression. Write all answers without exponents.(4/3)–3
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. 8⁹.8-7 8-3
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. 108 10-1 -10 10⁰.10²
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents.4–2/4
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. (7-12.7³) 7-8 -1
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. 3 x4. x³. x³
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. ylo. y-4 10. Do
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. (4k-¹)² 2k-$
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. (32²)-¹ 25
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. 3-¹.x-y² x-4. ys
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. -2 5-²m²y-² 5mly -2
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. a - 1-3 79
Simplify each expression. Assume that all variables represent positive real numbers. Write answers with only positive exponents. C 7d-2 -2
Simplify each expression, writing the answer as a single term without negative exponents. n 2n=¹ - 2m¯¯ m + n²
Simplify each expression, writing the answer as a single term without negative exponents.a–1 + b–1
Simplify each expression, writing the answer as a single term without negative exponents.b–2 – a
Simplify each expression, writing the answer as a single term without negative exponents. + n -2
Simplify each expression, writing the answer as a single term without negative exponents.(x–1 – y–1)–1
Simplify each expression, writing the answer as a single term without negative exponents.(x · y–1 – y–2)–2
Write each number without exponents.1211/2
Write each number without exponents.271/3
Write each number without exponents.322/5
Write each number without exponents.–1252/3
Write each number without exponents.(36/144)1/2
Write each number without exponents.(64/27)1/3
Write each number without exponents.8–4/3
Write each number without exponents.625–1/4
Write each number without exponents.(27/64)–1/3
Write each number without exponents.(121/100)–3/2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers.32/3 · 34/3
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 49/4.4-7/4 4-10/4
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 3-5/2.33/2 37/2.3-9/2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers.272/3 · 27–1/3
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. xy-3\1/2 -2,5 x
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. a-b-1ı3 1/3 b-4a2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 7-1/3.7r-3 7213. (P-2)2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 123/4-125/4-y -2 -2 12-¹. (-³)-²
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 3k² (4k-³) -1 41/2. k7/2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 8p-3. (4p²)-2 P -5
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. a4/3.b1/2 a2/3-b-3/2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 1/2 -3/4 14/5. 2 x5/3.y-6/5 . 21/2
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. k-3/5h-1/312/5 k-1/5.h-2/3. 11/5
Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. m7/3. n-2/5. 3/8 m-2/3-n³1 p-5/8 3/5
Factor each expression.3x3(x2 + 3x)2 – 15x(x2 + 3x)2
Factor each expression.6x(x3 + 7)2 – 6x2 (3x2 + 5)(x3 + 7)
Factor each expression.10x3(x2 – 1)–1/2 – 5x(x2 – 1)1/2
Factor each expression.9(6x + 2)1/2 + 3(9x – 1)(6x + 2)–1/2
Factor each expression.x(2x + 5)2 (x2 – 4)–1/2 + 2(x2 – 4)1/2 (2x + 5)
Factor each expression.(4x2 + 1)2(2x – 1)–1/2 + 16x(4x2 + 1)(2x – 1)1/2
Write each expression in interval notation. Graph each interval.x < 4
Perform the indicated operations.(2x2 – 6x +11) + (–3x2 + 7x – 2)
Solve each equation.2x + 8 = x – 4
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.7a3 + 14a2
Write each rational expression in lowest terms.25p3/10p2
Perform the indicated operations.(–4y2 – 3y + 8) – (2y2 – 6y – 2)
Solve each equation.5x + 2 = 8 – 3x
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.3y3 + 24y2 + 9y
Write each expression in interval notation. Graph each interval.1 ≤ x < 2
Perform the indicated operations.–6(2q2 + 4q – 3) + 4(–q2 + 7q – 3)
Solve each equation.0.2m – 0.5 = 0.1m + 0.7
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.13p4q2 – 39p3q + 26p2q2
Write each rational expression in lowest terms.2(t – 15)/(t – 15)(t + 2)
Write each expression in interval notation. Graph each interval.–2 ≤ x ≤ 3
Perform the indicated operations.2(3r2 + 4r + 2)–3(–r2 + 4r – 5)
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.60m4 – 120m3n + 50m2n2
Write each expression in interval notation. Graph each interval.–9 > x
Write each rational expression in lowest terms.(4x3 – 8x2)/4x2
Perform the indicated operations.(0.613x2 – 4.215x + 0.892) – 0.47(2x2 – 3x + 5)
Solve each equation.3r + 2 – 5(r + 1) = 6r + 4
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.m2 – 5m – 14
Write each expression in interval notation. Graph each interval.6 ≤ x
Perform the indicated operations.0.5(5r2 + 3.2r – 6) – (1.7r2 – 2r – 1.5)
Solve each equation.5(a + 3) + 4a – 5 = –(2a – 4)
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.x2 + 4x – 5
Using the variable x, write each interval as an inequality.[–7, –3]
Perform the indicated operations.–9m (2m2 + 3m – 1)
Solve each equation.2[3m – 2(3 – m) – 4] = 6m – 4
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.z2 + 9z + 20
Using the variable x, write each interval as an inequality.[4, 10)
Perform the indicated operations.6x(–2x3 + 5x + 6)
Solve each equation.4[2p – (3 – p) + 5] = –7p – 2
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.b2 – 8b + 7
Using the variable x, write each interval as an inequality.(–∞, –1]
Write each rational expression in lowest terms.(3x2 + 3x – 6)/(x2 – 4)
Perform the indicated operations.(3t – 2y)(3t + 5y)
Solve each equation by factoring or by using the quadratic formula. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places.x2 + 5x
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.a2 – 6ab + 5b2
Using the variable x, write each interval as an inequality.(3, ∞)
Write each rational expression in lowest terms.(z2 – 5z + 6)/(z2 – 4)
Perform the indicated operations.(9k + q)(2k – q)
Using the variable x, write each interval as an inequality. -2 0 6
Solve each equation by factoring or by using the quadratic formula. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places.x2 = 3 +
Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.s2 + 2st – 35t2
Write each rational expression in lowest terms.(m4 – 16)/(4m2 – 16)
Perform the indicated operations.(2 – 3x)(2 + 3x)

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