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mathematics
calculus graphical, numerical, algebraic
Calculus Graphical, Numerical, Algebraic 3rd Edition Ross L. Finney, Franklin D. Demana, Bert K. Waits, Daniel Kennedy - Solutions
In Exercises a parametrization is given for a curve.(a) Graph the curve. What are the initial and terminal points, if any? Indicate the direction in which the curve is traced.(b) Find a Cartesian equation for a curve that contains the parametrized curve. What portion of the graph of the Cartesian
In Exercises solve the equation graphically in the given interval. sin x = 0.6, 0≤x≤ 2π
In Exercises (a) identify the domain and range and (b) sketch the graph of the function.y = 4 - x2
In Exercises determine if the function is even or odd.Tangent
In Exercises write an equation for the specified line.Through (3, 3) and (- 2, 5)
In Exercises choose parametric equations and a parameter interval to represent the function on the interval specified.y = x, x < - 3
Determine whether the ordered pair is a solution to the equation.y = - 2x + 5(a) (- 1, 7) (b) (- 2 , 1)
In Exercises write an equation for the specified line.Through (1, - 6 ) with slope 3
In Exercises match the parametric equations with their graph. State the approximate dimensions of the viewing window. Give a parameter interval that traces the curve exactly once.x = 3 sin (2t), y = 1.5 cos t (a) (c) (b) (d)
Find the value of y that corresponds to x = 3 in y = - 2 + 4(x - 3).
In Exercises, find the coordinate increments from A to B.A(l, 2), B(-1, -1)
In Exercises 1-3, write an equation for the line.The line through the points (1, 8) and (4, 3)
In Exercises convert from radians to degrees or degrees to radians.≠/3
In Exercises (a) write a formula for the function and (b) use the formula to find the indicated value of the function.The area A of a circle as a function of its diameter d\ the area of a circle of diameter 4 in.
In Exercises determine whether the function is one-to-one. y y=x+1
Which of the following is the domain of ∫{x) = - log2 (x + 3)?(A) (- ∞, ∞) (B) (- ∞, 3) (C) (- 3, ∞)(D) [- 3, ∞) (E) (- ∞, 3]
In Exercises the angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius, or arc length.Angle Radius Are Length5π/8
In Exercises let∫(x) = 3√x - 1, g(x) = x2 + 1, and evaluate the expression.(∫ o g) (1)
In Exercises match the parametric equations with their graph. State the approximate dimensions of the viewing window. Give a parameter interval that traces the curve exactly once.x = sin3 t, y = cos3 t (a) (c) (b) (d)
In Exercises let∫(x) = 3√x - 1, g(x) = x2 + 1, and evaluate the expression.(g o ∫) (-7)
In Exercises write an equation for the specified line.Through (- 1, 2) with slope -1/2
Find the value of x that corresponds to y = 3 in y = 3 - 2{x + 1).
In Exercises, find the coordinate increments from A to B. A (-3, 2), B (- l, - 2)
Which of the following is the range of ∫(x) = 5 cos (x + π) + 3?(A) (- ∞ , ∞) (B) [2, 4] (C) [-8 , 2](D) [-2 , 8] (E) 28 5' 5
In Exercises 1-3, write an equation for the line.The horizontal line through the point (3, -4)
Which of the following gives the solution of tan x= -1 in
In Exercises (a) write a formula for the function and (b) use the formula to find the indicated value of the function.The height h of an equilateral triangle as a function of its side length s; the height of an equilateral triangle of side length 3 m
In Exercises the angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius, or arc length.Angle Radius Are Length175°
Find the value of m that corresponds to the values of x and y. x = 5, y = 2, m= y-3 x-4
In Exercises determine whether the function is one-to-one. y
In Exercises match the parametric equations with their graph. State the approximate dimensions of the viewing window. Give a parameter interval that traces the curve exactly once.x = 7 sin t - sin (7t), y = 7 cos t - cos (7t) (a) (c) (b) (d)
In Exercises let∫(x) = 3√x - 1, g(x) = x2 + 1, and evaluate the expression.(f o g) (x)
In Exercises write an equation for the specified line.The vertical line through (0, - 3)
In Exercises, find the coordinate increments from A to B.A(-3, 1), B(-8, 1)
In Exercises 1-3, write an equation for the line.The vertical line through the point (2, -3)
In Exercises convert from radians to degrees or degrees to radians.- 40°
Find the value of m that corresponds to the values of x and y. x = -1, y = -3, m= 2-y 3-x
In Exercises (a) write a formula for the function and (b) use the formula to find the indicated value of the function.The surface area S of a cube as a function of the length of the cube’s edge e; the surface area of a cube of edge length 5 ft
In Exercises the angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius, or arc length.Angle Radius Are Length?
Let ∫(x) = 5x - 3.(a) Find the inverse g of ∫.(b) Compute ∫ o g (x). Show your work.(c) Compute g o ∫ (x). Show your work.
In Exercises determine whether the function is one-to-one. ²+1
In Exercises let∫(x) = 3√x - 1, g(x) = x2 + 1, and evaluate the expression.(g o ∫) (x)
In Exercises find the x- and y-intercepts of the graph of the relation. 9 2 16 = 1
In Exercises match the parametric equations with their graph. State the approximate dimensions of the viewing window. Give a parameter interval that traces the curve exactly once.x = 12 sin t - 3 sin (6t), y = 12 cos t + 3 cos (6t) (a) (c) (b) (d)
In Exercises write an equation for the specified line.Through (- 3, 6) and (1, -2)
In Exercises, find the coordinate increments from A to B.A(0, 4), B(, - 2)
In Exercises choose parametric equations and a parameter interval to represent the function on the interval specified. y = 1 x-1' x ≥ 2
In Exercises convert from radians to degrees or degrees to radians.45°
In Exercises (a) write a formula for the function and (b) use the formula to find the indicated value of the function.The volume V of a sphere as a function of the sphere’s radius r; the volume of a sphere of radius 3 cm
In Exercises the angle lies at the center of a circle and subtends an arc of the circle. Find the missing angle measure, circle radius, or arc length.Angle Radius Are Length?
In Exercises determine if the function is even or odd.Secant
In Exercises write an equation for the specified line.The horizontal line through (0, 2)
Determine whether the ordered pair is a solution to the equation.3x — 4y = 5(a) (2, 1/4) (b) (3 ,-1)
In exercise let L be the line determined by points A and B.(a) Plot A and B.(b) Find the slope of L.(c) Draw the graph of L.A(l, -2), B(2,1)
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