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study help
mathematics
applied calculus

Questions and Answers of Applied Calculus

Use the quadratic formula to find the zeros of the functions.f(x) = 2x2 - 7x + 6
Draw the following intervals on the number line.[ -1, 4]
Compute the numbers.33
Graph the following equations.y = 2x - 1
Explain the relationships and differences among real numbers, rational numbers, and irrational numbers.
Assign variables to the dimensions of the geometric object. Norman window: Rectangle topped with a semicircle
Let f (x) = x3 +1/x. Evaluate f (1), f (3), f (-1), f ( - 1/2), and f (√2).
Let f (x) = x2 + 1, g(x) = 9x, and h(x) = 5 - 2x2. Calculate the following functions.f (x) + g(x)
Use the quadratic formula to find the zeros of the functions.f (x) = 3x2 + 2x - 1
Draw the following intervals on the number line.(4, 3π)
Compute the numbers.(-2)3
Graph the following equations.y = 3
What are the four types of inequalities, and what do they each mean?
Let f (x) = 2x + 3x2. Evaluate f (0), f ( - 1/4), and f (1>√2).
Let f (x) = x2 + 1, g(x) = 9x, and h(x) = 5 - 2x2. Calculate the following functions.f (x) - h(x)
Draw the following intervals on the number line. [1, 2]
Use the quadratic formula to find the zeros of the functions.f (t) = 4t2 - 12t + 9
Draw the following intervals on the number line.[ -2, √2)
Assign variables to the dimensions of the geometric object. Rectangular box with square base
Compute the numbers.1100
Graph the following equations.y = 3x + 1
What is the difference between an open interval and a closed interval from a to b?
Assign variables to the dimensions of the geometric object. Rectangular box with height = length
Let f (x) = x2 - 2. Evaluate f (a - 2).
Let f (x) = x2 + 1, g(x) = 9x, and h(x) = 5 - 2x2. Calculate the following functions.f (x)g(x)
Use the quadratic formula to find the zeros of the functions.f (x) = 1/4x2 + x + 1
Compute the numbers.025
Determine the domains of the following functions. f(x)= 1 x(x + 3)
Graph the following equations.y = - 1/2x - 4
Let f (x) = [1/(x + 1)] - x2. Evaluate f (a + 1).
Let f (x) = x2 + 1, g(x) = 9x, and h(x) = 5 - 2x2. Calculate the following functions.g(x)h(x)
Assign variables to the dimensions of the geometric object. Cylinder
Use the quadratic formula to find the zeros of the functions.f (x) = -2x2 + 3x - 4
Draw the following intervals on the number line.(-q, 3) 6. (
Compute the numbers.(.1)4
Graph the following equations.y = -2x + 3
What is meant by “the value of a function at x”?
Let f (x) = x2 + 1, g(x) = 9x, and h(x) = 5 - 2x2. Calculate the following functions.f (t)/g(t)
Determine the domains of the following functions. f(x)=√x - I
Use the quadratic formula to find the zeros of the functions.f (a) = 11a2 - 7a + 1
Draw the following intervals on the number line.(4, ∞)
Assign variables to the dimensions of the geometric object. Cylinder with height = diameter
Compute the numbers.(100)4
Graph the following equations.y = 0
What is meant by the domain and range of a function?
Consider the rectangle in Exercise 1. Write an expression for the perimeter. If the area is 25 square feet, write this fact as an equation.Exercise 1Assign variables to the dimensions of the
Let f (x) = x2 + 1, g(x) = 9x, and h(x) = 5 - 2x2. Calculate the following functions.g(t)/h(t)
Determine the domains of the following functions. f(x)=√x² + 1
Use the quadratic formula to solve the equations.5x2 - 4x - 1 = 0
Use intervals to describe the real numbers satisfying the inequalities. -1
Use intervals to describe the real numbers satisfying the inequalities.2 … x < 3
Compute the numbers.-42
Graph the following equations.x - y = 0
What is the graph of a function, and how is it related to vertical lines?
Use the quadratic formula to solve the equations.x2 - 4x + 5 = 0
Express f (x) + g(x) as a rational function. Carry out all multiplications. 3 f(x) = = ²³/6²8(x)==-²2²/₂2 x 6'
Consider the rectangle in Exercise 1. Write an expression for the area. Write an equation expressing the fact that the perimeter is 30 centimeters.Exercise 1Assign variables to the dimensions of the
Compute the numbers.(.01)3
Graph the following equations.3x + 2y = -1
What is a linear function? Constant function? Give examples.
Use the quadratic formula to solve the equations.15x2 - 135x + 300 = 0
Use intervals to describe the real numbers satisfying the inequalities.x 6 0 and x Ú - 1
Compute the numbers.(16)1/2
Express f (x) + g(x) as a rational function. Carry out all multiplications. f(x) = X x - 8' g(x) = -X x - 4
Graph the following equations.x = 2y - 1
What are the x- and y-intercepts of a function, and how are they found?
Is the point (1/2, - 3/5) on the graph of the function h(x) = (x2 - 1)/(x2 + 1)?
Express f (x) + g(x) as a rational function. Carry out all multiplications. f(x) = -X x + 3' g(x) X x + 5
Use intervals to describe the real numbers satisfying the inequalities.x ≥ -1 and x < 8
Consider the Norman window of Exercise 2. Write an expression for the perimeter. Write an equation expressing the fact that the area is 2.5 square meters.Exercise 2Assign variables to the dimensions
Compute the numbers.(27)1/3
Graph the following equations.x = -4
Express f (x) + g(x) as a rational function. Carry out all multiplications. f(x) = x + 5 x - 10' g(x)= = x + 10
What is a quadratic function? What shape does its graph have?
Consider the rectangular box in Exercise 3, and suppose that it has no top. Write an expression for the volume. Write an equation expressing the fact that the surface area is 65 square
Is the point (1, -2) on the graph of the function k(x) = x2 + (2/x)?
Compute the numbers. 125 1/3
Use the quadratic formula to solve the equations.3/2x2 - 6x + 5 = 0
Use intervals to describe the real numbers satisfying the inequalities.x < 3
Compute the numbers.(.000001)1/3
Determine the intercepts of the graphs of the following equations.f (x) = 9x + 3
Consider the closed rectangular box in Exercise 4. Write an expression for the surface area. Write an equation expressing the fact that the volume is 10 cubic feet.Exercise 4Assign variables to the
Use the quadratic formula to solve the equations.9x2 - 12x + 4 = 0
Determine the intercepts of the graphs of the following equations.f (x) = - 1/2x - 1
LetandExpress the following as rational functions.f (x) - g(x) f(x) = X x-2' g(x)= 5-x 5 + x'
What is meant by the absolute value of a number?
Consider the cylinder of Exercise 5. Write an equation expressing the fact that the volume is 100 cubic inches. Suppose that the material to construct the left end costs $5 per square inch, the
Factor the polynomials.3x2 - 3x - 60
Factor the polynomials.x2 + 8x + 15
Compute the numbers. 2 -1
If f (x) = x2 - 3x, find f (0), f (5), f (3), and f (-7).
Compute the numbers.6-1
Determine the intercepts of the graphs of the following equations.f (x) = 5
What five operations on functions are discussed in this chapter? Give an example of each.
LetandExpress the following as rational functions.f (t) - h(t) f(x) = X x-2' g(x)= 5-x 5 + x'
Factor the polynomials.18 + 3x - x2
Consider the cylinder of Exercise 6. Write an equation expressing the fact that the surface area is 30π square inches. Write an expression for the volume.Exercise 6Assign variables to the dimensions
Factor the polynomials.x2 - 10x + 16
If f (x) = x3 + x2 - x - 1, find f (1), f (-1), f (1/2), and f (a).
Determine the intercepts of the graphs of the following equations.f (x) = 14

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