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mathematics
precalculus

Questions and Answers of Precalculus

Use the accompanying graph of y = f(x).Find . | lim f(x) r→2* УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find . lim f(x) x-2 УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find . lim f(x) -2' lin УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find . lim f(x) r→-2- УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find . lim f(x) x), УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find . lim_f(x) lim x→-4 УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find f(-2) and f(6). УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find f(-6) and f(-4). УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find the y-intercept(s), if any, of f. УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).Find the x-intercept(s), if any, of f. УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).What is the range of f? УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Use the accompanying graph of y = f(x).What is the domain of f? УА 4 (-2, 2) (-6, 2) • (-4, 1) -6 -4 -2 4 -2 -4
Determine whether f is continuous at c. x² + 6x if x + 0 c = 0 f(x) = x2 – 6x if x = 0 -1
Determine whether f is continuous at c. 2. if x + -2 c = -2 x + 2 f(x) = -2 if x = -4
Determine whether f is continuous at c. .2 x² + 6x if x + 0 c = 0 f(x) = x - 6x if x = 0
Determine whether f is continuous at c. x² – 4 x + 2 if x + -2 c = -2 f(x) = if x = -2 4
Determine whether f is continuous at c. х + 6х c = 0| f(x) х2 — бх
Determine whether f is continuous at c. |f(x) x + 2 c = -2
Determine whether f is continuous at c. x? – 9 c = 2 f(x) x + 10 ||
Determine whether is continuous at c. f(x) = 3x4 – x2 + 2, c = 5
Find the limit. x* + x + 2x + 2 lim x³ + x?
Find the limit. х — 3х3 + х —3 lim Зx2 + 2х — 6 х—3 х3
Find the limit. x - 1 lim x1 x - x? + 3x – 3
Find the limit. lim x→2 x 2x2 + 4x – 8
Find the limit. 4 lim x→2* x - 8
Find the limit.
Find the limit. x² + 2x – 3 lim x² - 9 3 .2
Find the limit. lim x-3 х — х — 12 12
Find the limit. lim x--1 x + x
Find the limit. lim x→1 x³ – 1
Find the limit. Зх + 4 lim x-3 x + 1
Find the limit. x² + x + 2 lim x - 9
Find the limit. lim (15 — Зx) 3 3/2 х—-3
Find the limit. lim (5x + 6)/2
Find the limit. lim V3x – 2 x-2*
Find the limit. .2 lim V1 – x? х—17
Find the limit. lim Vx + 10
Find the limit. lim Vx? + 7
Find the limit. lim (x³ + 1)²
Find the limit. lim (x + 1) x→-2
Find the limit. (-2x + x + 4) lim
Find the limit. lim (3x2 – 2x + 1)
Consider the function whose domain is the interval [-1, 1].(a) Graph f.(b) Approximate the area under the graph of f from -1 to 1 by dividing [-1, 1] into five subintervals, each of equal
Confirm the entries in Table 7. Table 7 Price per Calculator, p (Dollars) Number of Calculators, x 60 12,000 65 11,250 70 10,500 75 9,750 80 9,000 85 8,250 90 7,500 DO00
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. 2e In x dx Je
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. .2 e* dx Jo
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. -п/4 cos x
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. T/2 sin x dx
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. (16 – x²)
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. (x² – 1)
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. •3 -2x +
An integral is given. (a) What area does the integral represent? (b) Provide a graph that illustrates this area. (c) Use a graphing utility to approximate this area. Ге (3х +
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
A function is defined over an interval [a, b].(a) Graph indicating the area A under from a to b. (b) Approximate the area A by partitioning into four subintervals of equal length and choosing u
Repeat Problem 11 for f(x) = -2x + 8.Data from Problem 11The function f(x) = -3x + 9 is defined on the interval [0, 3].(a) Graph In (b)–(e), approximate the area A under from 0 to 3 as follows:(b)
The function f(x) = -3x + 9 is defined on the interval [0, 3].(a) Graph In (b)–(e), approximate the area A under from 0 to 3 as follows:(b) Partition [0, 3] into three subintervals of equal length
Repeat Problem 9 for f(x) = 4x,Data from Problem 9The function f(x) = 3x is defined on the interval [0, 6].(a) GraphIn (b)–(e), approximate the area A under from 0 to 6 as follows:(b) Partition [0,
The function f(x) = 3x is defined on the interval [0, 6].(a) GraphIn (b)–(e), approximate the area A under from 0 to 6 as follows:(b) Partition [0, 6] into three subintervals of equal length and
Refer to the illustration. The interval [0, 8] is partitioned into four subintervals [0, 2], [2,4], [4, 6] and [6, 8].Approximate the area A choosing u as the right endpoint of each subinterval. Ул
Refer to the illustration. The interval [0, 8] is partitioned into four subintervals [0, 2], [2,4], [4, 6] and [6, 8].Approximate the area A choosing u as the left endpoint of each subinterval. Ул
Refer to the illustration. The interval [1, 3] is partitioned into two subintervals and [1, 2] [2, 3]. Approximate the area A choosing u as the right endpoint of each subinterval. Ул У 3 f(x)
Refer to the illustration. The interval [1, 3] is partitioned into two subintervals and [1, 2] [2, 3]. Approximate the area A choosing u as the left endpoint of each subinterval. Ул У 3 f(x)
The area under the graph of from a to b is denoted by the symbol_______.
The integral from a to b of is denoted by the symbol______.
The formula for the area A of a rectangle of length l and width is ________.
he following data represent the total revenue R (in dollars) received from selling x bicycles at Tunney’s Bicycle Shop (a) Find the average rate of change in revenue from x = 25 to x = 150
Neil Armstrong throws a ball down into a crater on the moon. The height s (in feet) of the ball from the bottom of the crater after t seconds is given in the following table: (a) Find the
In physics, it is shown that the height s of a ball thrown straight down with an initial speed of 48 ft/sec from a rooftop 160 feet high is s = s(t) = - 16t2 + 48t + 160where t is the elapsed
In physics, it is shown that the height s of a ball thrown straight up with an initial speed of 96 ft/sec from ground level is s = s(t) = - 16t2 + 96twhere t is the elapsed time that the ball
The volume V of a cube of side x meters is V = V(x) = x3. Find the instantaneous rate of change of the volume with respect to the side x at x = 3.
The volume V of a sphere of radius r feet is V = V(r) = 43πr3 Find the instantaneous rate of change of the volume with respect to the radius r at r = 2.
The surface area S of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 2.
The volume V of a right circular cylinder of height 3 feet and radius r feet is V = V(r) = 3πr2. Find the instantaneous rate of change of the volume with respect to the radius r at r = 3.
Use a graphing utility to find the derivative of each function at the given number.f(x) = e-x sinx at 2
Use a graphing utility to find the derivative of each function at the given number.f(x) = ex sinx at 2
Use a graphing utility to find the derivative of each function at the given number.f(x) = x2 sinx at π/4
Use a graphing utility to find the derivative of each function at the given number.f(x) = x2 sinx at π/3
Use a graphing utility to find the derivative of each function at the given number.f(x) = x sinx at π/4
Use a graphing utility to find the derivative of each function at the given number.f(x) = x sinx at π/3
Use a graphing utility to find the derivative of each function at the given number. -5x + 9x + 3 r + 5x? - 6 at -3 |f(x)
Use a graphing utility to find the derivative of each function at the given number. -x + 1 f(x) at 8 x? + 5x + 7
Use a graphing utility to find the derivative of each function at the given number.f(x) = -5x4 + 6x2 – 10 at 5
Use a graphing utility to find the derivative of each function at the given number.f(x) = x3 – 2x2 + 2 at -2
Find the derivative of each function at the given number. f(x) = cosx at 0
Find the derivative of each function at the given number. f(x) = sinx at 0
Find the derivative of each function at the given number. f(x) = x3 - 2x2 + x at 2
Find the derivative of each function at the given number. f(x) = x3 + x2 -2x at 1
Find the derivative of each function at the given number. f(x) = 2x3 - x2 at 2
Find the derivative of each function at the given number. f(x) = x3 + 4x at -1
Find the derivative of each function at the given number. f(x) = 3x2 - 4x at 2
Find the derivative of each function at the given number. f(x) = 2x2 + 3x at 1
Find the derivative of each function at the given number. f(x) = 2x2 + 1 at -1

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