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mathematics
calculus with applications

Questions and Answers of Calculus With Applications

In Exercises 43 through 48, solve the given equation by factoring.x2 + 3x − 4 = 0
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x2 + x − 12
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a5b2c)3
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x2 − 9x + 14
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a3b2c5)(a2b6c3)
In Exercises 43 through 48, solve the given equation by factoring.2x2 − 3x − 2 = 0
In Exercises 43 through 48, solve the given equation by factoring.x2 + 14x + 49 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. a -2 -3 C 2
In Exercises 43 through 48, solve the given equation by factoring. 1 1 X | 2 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. a-³6-20-4-3 a²b³c5 C
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. a²b³c-3\2 -³b²c² 4
In Exercises 43 through 48, solve the given equation by factoring. 4 + || 12 Xx
In Exercises 43 through 48, solve the given equation by factoring.x2 − 64 = 0
In Exercises 29 through 58, factor the given polynomial using integer coefficients.3x2 − 22x + 35
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x2 − 7x − 18
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 3а-3 2c -212 a³
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. -²b-³ + a=³b + bc¯1 -3 a ab²3 c
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x2 + 8x + 15
In Exercises 49 through 54, use the quadratic formula to find all real numbers x that satisfy the given equation.14x2 − x − 3 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. -3 a + 6-1 b (ab)-2
In Exercises 29 through 58, factor the given polynomial using integer coefficients.28x2 + 2x − 6
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.[(a3b2)−2c2]−3
In Exercises 49 through 54, use the quadratic formula to find all real numbers x that satisfy the given equation.24x2 + x − 10 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.[a3(b3c−1)−3]−2
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x3 + 2x2 − 15x
In Exercises 49 through 54, use the quadratic formula to find all real numbers x that satisfy the given equation.x2 − 3x + 5 = 0
In Exercises 49 through 54, use the quadratic formula to find all real numbers x that satisfy the given equation.7x2 + 3x − 2 = 0
In Exercises 29 through 58, factor the given polynomial using integer coefficients.25x3 − 16x
In Exercises 49 through 54, use the quadratic formula to find all real numbers x that satisfy the given equation.3x2 + 5x − 2 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 128 +-64
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. V18+ V-162(27)
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 655836
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x3 + 27
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a−1 + b−2)2
In Exercises 49 through 54, use the quadratic formula to find all real numbers x that satisfy the given equation.2x2 + 12x + 11 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. √(-2)¹5(-3) 18 15
In Exercises 29 through 58, factor the given polynomial using integer coefficients.25x2 − 81
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 2√32 +5V/72
In Exercises 55 through 58, solve the given system of equations.3x + 5y = −12x + 7y = 3
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x5 + x2
In Exercises 59 through 64, use L’Hôpital’s rule to evaluate the given limit if the limit is an indeterminate form. x²2²-1 X lim x12x³ + x3
In Exercises 59 through 64, use L’Hôpital’s rule to evaluate the given limit if the limit is an indeterminate form. ²³ + 8 lim x2 3x²³7x + 10
In Exercises 55 through 58, solve the given system of equations.2x + y = 7−x + 4y = 1
In Exercises 29 through 58, factor the given polynomial using integer coefficients.x4 − 9x2
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 3√96 + √294
In Exercises 55 through 58, solve the given system of equations.3x2 − y2 = −12x + y = 4
In Exercises 29 through 58, factor the given polynomial using integer coefficients.3(x + 2)3 − 5(x + 2)2
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 3√24 2√54 + √486
In Exercises 55 through 58, solve the given system of equations.5x2 − 2y2 = 25x − 2y = 4
In Exercises 59 through 64, use L’Hôpital’s rule to evaluate the given limit if the limit is an indeterminate form. lim -2x e 3+2e-2x
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. Va¹5620 35 151,20
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 315 120 + 5√405 -
In Exercises 29 through 58, factor the given polynomial using integer coefficients.5(x − 1)4 + 3(x − 1)2
In Exercises 59 through 64, use L’Hôpital’s rule to evaluate the given limit if the limit is an indeterminate form. lim √x ex x-x
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. -64a2b-6 Va²b4
In Exercises 59 through 74, solve the given equation by factoring.x2 − 2x − 8 = 0
In Exercises 59 through 64, use L’Hôpital’s rule to evaluate the given limit if the limit is an indeterminate form. lim x(e/x_ x-x 1)
In Exercises 59 through 74, solve the given equation by factoring.x2 − 4x + 3 = 0
In Exercises 59 through 64, use L’Hôpital’s rule to evaluate the given limit if the limit is an indeterminate form. lim 1 X-8 3 X 2x
In Exercises 59 through 74, solve the given equation by factoring.x2 + 10x + 25 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 6³ b V 49aª 25a²
In Exercises 59 through 74, solve the given equation by factoring. 1 + 4 X 5 我 = 0
In Exercises 59 through 74, solve the given equation by factoring.x2 + 8x + 16 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. a bº V64c¹5 15 3
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 5 8₁ a -16 c² 7 C
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 5 3 V b¹c² C
In Exercises 59 through 74, solve the given equation by factoring. 2 + al 1 2 X 4 2 X = 0
In Exercises 59 through 74, solve the given equation by factoring.x2 − 16 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. a²b (a6b4)-1/4
In Exercises 59 through 74, solve the given equation by factoring. 9 6 به 1 X + 1 = 0
In Exercises 59 through 74, solve the given equation by factoring. 3 2 1 5 X T 2 = 0
In Exercises 59 through 74, solve the given equation by factoring.x2 − 25 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. (a25b35)-3/5 (a¹6f¹2)-3/4 16,
In Exercises 59 through 74, solve the given equation by factoring.2x2 + 3x + 1 = 0
In Exercises 59 through 74, solve the given equation by factoring.x2 − 2x + 1 = 0
In Exercises 59 through 74, solve the given equation by factoring.4x2 + 12x + 9 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a4b2c12)−1/2
In Exercises 59 through 74, solve the given equation by factoring.6x2 + 7x − 3 = 0
In Exercises 59 through 74, solve the given equation by factoring. X x 2 - 4 x + 3 10 x²+x-6 = 0
In Exercises 59 through 74, solve the given equation by factoring. X x + 1 + 3 2x + 3 11x + 10 2x²2² + 5x + 3 = 0
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a1/6b−1/3c1/4)12
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. 171.9 3 a V ,11 C
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers. √(a²4b-8c¹1)4 11
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a1/2 + b1/4)(a1/2 − b1/4)
In Exercises 43 through 76, simplify the given expression as much as possible. Assume a, b, and c are positive real numbers.(a2/3 + b2/3)(a2/3 − b2/3)
In Exercises 75 through 82, solve the given quadratic equation by completing the square.x2 + 2x − 3 = 0
In Exercises 75 through 82, solve the given quadratic equation by completing the square.2x2 + 11x + 15 = 0
In Exercises 75 through 82, solve the given quadratic equation by completing the square.15x2 − 14x + 3 = 0
In Exercises 77–88, factor and simplify the given expression as much as possible.x5 − 4x4
In Exercises 75 through 82, solve the given quadratic equation by completing the square.21x2 + 11x − 2 = 0
In Exercises 77–88, factor and simplify the given expression as much as possible.3x3 − 12x4
In Exercises 75 through 82, solve the given quadratic equation by completing the square.x2 + 5x + 11 = 0
In Exercises 77–88, factor and simplify the given expression as much as possible.100 − 25(x − 3)
In Exercises 75 through 82, solve the given quadratic equation by completing the square.4x2 + 3x + 1 = 0
In Exercises 77–88, factor and simplify the given expression as much as possible.60 − 20(4 − x)
In Exercises 77–88, factor and simplify the given expression as much as possible. (x + 3)³(x + 1) - (x + 3)²(x + 1)² (x + 3)(x + 1)
In Exercises 75 through 82, solve the given quadratic equation by completing the square.6x2 + 17x − 4 = 0
In Exercises 77–88, factor and simplify the given expression as much as possible.8(x + 1)3(x − 2)2 + 6(x + 1)2(x − 2)3
In Exercises 77–88, factor and simplify the given expression as much as possible. 3(x - 2)²(x + 1)²2 - 2(x - 2)(x + 1)³ (x - 2)4
In Exercises 75 through 82, solve the given quadratic equation by completing the square.7x2 + 12x − 5 = 0

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