
University Calculus: Early Transcendentals Plus MyLab Math -- Access Card Package (3rd Edition) (Integrated Review Courses in MyMathLab and MyStatLab)
3rd Edition
ISBN: 9780321999573
Author: Joel R. Hass, Maurice D. Weir, George B. Thomas Jr.
Publisher: PEARSON
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Question
Chapter 11.6, Problem 24E
To determine
Sketch the surface of given equation.
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Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
(a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.
(b) Use your answer from part (a) to find the number of cells present after 8 days.
(a) Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function.
R'(x) = 4x (x² +26,000)
2
3
(a) Find the total revenue function if the revenue from 125 devices is $17,939.
(b) How many devices must be sold for a revenue of at least $50,000?
(a) The total revenue function is R(x) =
(Round to the nearest integer as needed.)
given that the revenue from 125 devices is $17,939.
Use substitution to find the indefinite integral.
S
2u
√u-4
-du
Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice.
A. Substitute u for the quantity in the numerator. Let v =
, so that dv = ( ) du.
B. Substitute u for the quantity under the root. Let v = u-4, so that dv = (1) du.
C. Substitute u for the quantity in the denominator. Let v =
Use the substitution to evaluate the integral.
so that dv=
'
(
du.
2u
-du=
√√u-4
Chapter 11 Solutions
University Calculus: Early Transcendentals Plus MyLab Math -- Access Card Package (3rd Edition) (Integrated Review Courses in MyMathLab and MyStatLab)
Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...
Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - In Exercises 1–16, give a geometric description of...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 17–24, describe the sets of points in...Ch. 11.1 - In Exercises 35–14, describe the given set with a...Ch. 11.1 - In Exercises 35–44, describe the given set with a...Ch. 11.1 - In Exercises 35–44, describe the given set with a...Ch. 11.1 - In Exercises 35–44, describe the given set with a...Ch. 11.1 - In Exercises 35–44, describe the given set with a...Ch. 11.1 - In Exercises 35–44, describe the given set with a...Ch. 11.1 - In Exercises 35–14, describe the given set with a...Ch. 11.1 - The set of points in space equidistant from the...Ch. 11.1 - In Exercises 35–44, describe the given set with a...Ch. 11.1 - Prob. 34ECh. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - Write inequalities to describe the sets in...Ch. 11.1 - In Exercises 25–30, find the distance between...Ch. 11.1 - In Exercises 25–30, find the distance between...Ch. 11.1 - In Exercises 25–30, find the distance between...Ch. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find the center C and the radius a for the sphere...Ch. 11.1 - Find equations for the sphere whose centers and...Ch. 11.1 - Find equations for the sphere whose centers and...Ch. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Find a formula for the distance from the point...Ch. 11.1 - Find a formula for the distance from the point...Ch. 11.1 - Find the perimeter of the triangle with vertices...Ch. 11.1 - Show that the point P(3, 1, 2) is equidistant from...Ch. 11.1 - Find an equation for the set of all points...Ch. 11.1 - Prob. 64ECh. 11.1 - Find the point on the sphere x2 + (y − 3)2 + (z +...Ch. 11.1 - Find the point equidistant from the points (0, 0,...Ch. 11.2 - In Exercises 1–8, let u = 〈3, −2〉 and v = 〈−2, 5〉....Ch. 11.2 - In Exercises 1–8, let u = 〈3, −2〉 and v = 〈−2, 5〉....Ch. 11.2 - In Exercises 1–8, let u = 〈3, −2〉 and v = 〈−2, 5〉....Ch. 11.2 - Prob. 4ECh. 11.2 - In Exercises 1–8, let u = 〈3, −2〉 and v = 〈−2, 5〉....Ch. 11.2 - Prob. 6ECh. 11.2 - In Exercises 1–8, let u = 〈3, −2〉 and v = 〈−2, 5〉....Ch. 11.2 - In Exercises 1–8, let u = 〈3, −2〉 and v = 〈−2, 5〉....Ch. 11.2 - In Exercises 9–16, find the component form of the...Ch. 11.2 - In Exercises 9–16, find the component form of the...Ch. 11.2 - In Exercises 9–16, find the component form of the...Ch. 11.2 - In Exercises 9–16, find the component form of the...Ch. 11.2 - The unit vector that makes an angle θ = 2π/3 with...Ch. 11.2 - The unit vector that makes an angle θ = −3π/4 with...Ch. 11.2 - The unit vector obtained by rotating the vector ...Ch. 11.2 - The unit vector obtained by rotating the vector ...Ch. 11.2 - In Exercises 17–22, express each vector in the...Ch. 11.2 - Prob. 18ECh. 11.2 - In Exercises 17–22, express each vector in the...Ch. 11.2 - In Exercises 17–22, express each vector in the...Ch. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - In Exercises 23 and 24, copy vectors u, v, and w...Ch. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - In Exercises 25–30, express each vector as a...Ch. 11.2 - Prob. 30ECh. 11.2 - Find the vectors whose lengths and directions are...Ch. 11.2 - Prob. 32ECh. 11.2 - Find a vector of magnitude 7 in the direction of v...Ch. 11.2 - Prob. 34ECh. 11.2 - In Exercises 35–38, find a. the direction of and...Ch. 11.2 - In Exercises 35–38, find a. the direction of and...Ch. 11.2 - In Exercises 35–38, find a. the direction of and...Ch. 11.2 - Prob. 38ECh. 11.2 - If = i + 4j − 2k and B is the point (5, 1, 3),...Ch. 11.2 - Prob. 40ECh. 11.2 - Linear combination Let u = 2i + j, v = i + j, and...Ch. 11.2 - Linear combination Let u = i − 2j, v = 2i + 3j,...Ch. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Consider a 100-N weight suspended by two wires as...Ch. 11.2 - Prob. 46ECh. 11.2 - Prob. 47ECh. 11.2 - Prob. 48ECh. 11.2 - Location A bird flies from its nest 5 km in the...Ch. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Vectors are drawn from the center of a regular...Ch. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.3 - Prob. 1ECh. 11.3 - 2. v = (3/5)i + (4/5)k, u = 5i + 12j
v · u, |v|,...Ch. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - 5. v = 5j – 3k, u = i + j + k
v · u, |v|, |u|
the...Ch. 11.3 - Prob. 6ECh. 11.3 - v = 5i + j,
v · u, | v |, | u |
the cosine of the...Ch. 11.3 -
v · u, | v |, | u |
the cosine of the angle...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Find the angles between the vectors in Exercises...Ch. 11.3 - Prob. 13ECh. 11.3 - Rectangle Find the measures of the angles between...Ch. 11.3 - Direction angles and direction cosines The...Ch. 11.3 - Water main construction A water main is to be...Ch. 11.3 - Sums and differences In the accompanying figure,...Ch. 11.3 - Prob. 18ECh. 11.3 - Diagonals of a rhombus Show that the diagonals of...Ch. 11.3 - Perpendicular diagonals Show that squares are the...Ch. 11.3 - When parallelograms are rectangles Prove that a...Ch. 11.3 - Diagonal of parallelogram Show that the indicated...Ch. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Cauchy–Schwarz inequality Since u · v = |u| |v|...Ch. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Cancelation in dot products In real-number...Ch. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Sailboat The wind passing over a boat’s sail...Ch. 11.3 -
Use this fact and the results of Exercise 33 or...Ch. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.4 - In Exercises 1–8, find the length and direction...Ch. 11.4 - In Exercises 1–8, find the length and direction...Ch. 11.4 - In Exercises 1–8, find the length and direction...Ch. 11.4 - Prob. 4ECh. 11.4 - In Exercises 1–8, find the length and direction...Ch. 11.4 - In Exercises 1–8, find the length and direction...Ch. 11.4 - Prob. 7ECh. 11.4 - In Exercises 1–8, find the length and direction...Ch. 11.4 - In Exercises 9–14, sketch the coordinate axes and...Ch. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - In Exercises 9–14, sketch the coordinate axes and...Ch. 11.4 - In Exercises 9–14, sketch the coordinate axes and...Ch. 11.4 - In Exercises 15−18,
Find the area of the triangle...Ch. 11.4 - In Exercises 15−18,
Find the area of the triangle...Ch. 11.4 - In Exercises 15−18,
Find the area of the triangle...Ch. 11.4 - In Exercises 15−18,
Find the area of the triangle...Ch. 11.4 - In Exercises 19–22, verify that (u × v) · w = (v ×...Ch. 11.4 - In Exercises 19–22, verify that (u × v) · w = (v ×...Ch. 11.4 - In Exercises 19–22, verify that (u × v) · w = (v ×...Ch. 11.4 - In Exercises 19–22, verify that (u × v) · w = (v ×...Ch. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Which of the following are always true, and which...Ch. 11.4 - Which of the following are always true, and which...Ch. 11.4 - Given nonzero vectors u, v, and w, use dot product...Ch. 11.4 - Compute (i × j) × j and i × (j × j). What can you...Ch. 11.4 - Let u, v, and w be vectors. Which of the following...Ch. 11.4 - Prob. 32ECh. 11.4 - Cancelation in cross products If u × v = u × w and...Ch. 11.4 - Double cancelation If u ≠ 0 and if u × v = u × w...Ch. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Find the areas of the parallelograms whose...Ch. 11.4 - Find the areas of the triangles whose vertices are...Ch. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Find the areas of the triangles whose vertices are...Ch. 11.4 - Prob. 46ECh. 11.4 - Find the areas of the triangles whose vertices are...Ch. 11.4 - Find the volume of a parallelepiped with one of...Ch. 11.4 - Triangle area Find a 2 × 2 determinant formula for...Ch. 11.4 - Triangle area Find a concise 3 × 3 determinant...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Prob. 7ECh. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Find parametric equations for the lines in...Ch. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Prob. 14ECh. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Prob. 16ECh. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Find parametrizations for the line segments...Ch. 11.5 - Prob. 20ECh. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Planes
Find equations for the planes in Exercises...Ch. 11.5 - Planes
Find equations for the planes in Exercises...Ch. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Find equations for the planes in Exercises...Ch. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - In Exercises 29 and 30, find the plane containing...Ch. 11.5 - In Exercises 29 and 30, find the plane containing...Ch. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - In Exercises 33–38, find the distance from the...Ch. 11.5 - In Exercises 33–38, find the distance from the...Ch. 11.5 - In Exercises 33–38, find the distance from the...Ch. 11.5 - In Exercises 33–38, find the distance from the...Ch. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - In Exercises 39–44, find the distance from the...Ch. 11.5 - In Exercises 39–44, find the distance from the...Ch. 11.5 - In Exercises 39–44, find the distance from the...Ch. 11.5 - In Exercises 39−44, find the distance from the...Ch. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Find the distance from the plane x + 2y + 6z = 1...Ch. 11.5 - Find the distance from the line x = 2 + t, y = 1 +...Ch. 11.5 - Find the angles between the planes in Exercises 47...Ch. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - In Exercises 57–60, find the point in which the...Ch. 11.5 - In Exercises 57–60, find the point in which the...Ch. 11.5 - In Exercises 57–60, find the point in which the...Ch. 11.5 - Prob. 56ECh. 11.5 - Find parametrizations for the lines in which the...Ch. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Given two lines in space, either they are...Ch. 11.5 - Given two lines in space, either they are...Ch. 11.5 - Use Equations (3) to generate a parametrization of...Ch. 11.5 - Use the component form to generate an equation for...Ch. 11.5 - Find the points in which the line x = 1 + 2t, y =...Ch. 11.5 - Find equations for the line in the plane z = 3...Ch. 11.5 - Prob. 67ECh. 11.5 - How can you tell when two planes A1x + B1y + C1z =...Ch. 11.5 - Find two different planes whose intersection is...Ch. 11.5 - Find a plane through the origin that is...Ch. 11.5 - The graph of is a plane for any nonzero numbers...Ch. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - In Exercises 1–12, match the equation with the...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Drawing
Sketch the surfaces in Exercises 13–44.
Ch. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - Drawing
Sketch the surfaces in Exercises 13–44.
Ch. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - Drawing
Sketch the surfaces in Exercises...Ch. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Prob. 32ECh. 11.6 - Prob. 33ECh. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 36ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - Prob. 39ECh. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Prob. 44ECh. 11.6 - Express the area A of the cross-section cut from...Ch. 11.6 - Prob. 46ECh. 11.6 - Prob. 47ECh. 11.6 - Prob. 48ECh. 11.6 - Prob. 49ECh. 11.6 - Prob. 50ECh. 11.6 - Prob. 51ECh. 11.6 - Prob. 52ECh. 11 - Prob. 1GYRCh. 11 - How are vectors added and subtracted...Ch. 11 - Prob. 3GYRCh. 11 - Prob. 4GYRCh. 11 - Define the dot product (scalar product) of two...Ch. 11 - Prob. 6GYRCh. 11 - Prob. 7GYRCh. 11 - Prob. 8GYRCh. 11 - Prob. 9GYRCh. 11 - Prob. 10GYRCh. 11 - Prob. 11GYRCh. 11 - Prob. 12GYRCh. 11 - What are box products? What significance do they...Ch. 11 - Prob. 14GYRCh. 11 - Prob. 15GYRCh. 11 - Prob. 16GYRCh. 11 - Prob. 17GYRCh. 11 - In Exercises 1–4, let u = ⟨−3, 4⟩ and v = ⟨2, −5⟩....Ch. 11 - Prob. 2PECh. 11 - Prob. 3PECh. 11 - Prob. 4PECh. 11 - Prob. 5PECh. 11 - In Exercises 5-8, find the component form of the...Ch. 11 - The vector 2 units long in the direction 4i − j
Ch. 11 - The vector 5 units long in the direction opposite...Ch. 11 - Express the vectors in Exercises 9–12 in terms of...Ch. 11 - Prob. 10PECh. 11 - Prob. 11PECh. 11 - Prob. 12PECh. 11 - Prob. 13PECh. 11 - Prob. 14PECh. 11 - Prob. 15PECh. 11 - Prob. 16PECh. 11 - In Exercises 17 and 18, find |v|, |u|, , the angle...Ch. 11 - Prob. 18PECh. 11 - In Exercises 19 and 20, find projv u.
v = 2i + j −...Ch. 11 - Prob. 20PECh. 11 - In Exercises 21 and 22, draw coordinate axes and...Ch. 11 - Prob. 22PECh. 11 - Prob. 23PECh. 11 - Prob. 24PECh. 11 - In Exercises 25 and 26, find (a) the area of the...Ch. 11 - Prob. 26PECh. 11 - Suppose that n is normal to a plane and that v is...Ch. 11 - Find a vector in the plane parallel to the line ax...Ch. 11 - In Exercises 29 and 30, find the distance from the...Ch. 11 - Prob. 30PECh. 11 - Prob. 31PECh. 11 - Parametrize the line segment joining the points...Ch. 11 - In Exercises 33 and 34, find the distance from the...Ch. 11 - Prob. 34PECh. 11 - Prob. 35PECh. 11 - Prob. 36PECh. 11 - In Exercises 37 and 38, find an equation for the...Ch. 11 - Prob. 38PECh. 11 - Prob. 39PECh. 11 - Prob. 40PECh. 11 - Find the acute angle between the planes x = 7 and...Ch. 11 - Prob. 42PECh. 11 - Find parametric equations for the line in which...Ch. 11 - Prob. 44PECh. 11 - Prob. 45PECh. 11 - Prob. 46PECh. 11 - Prob. 47PECh. 11 - Prob. 48PECh. 11 - Prob. 49PECh. 11 - Prob. 50PECh. 11 - Prob. 51PECh. 11 - Prob. 52PECh. 11 - Prob. 53PECh. 11 - Prob. 54PECh. 11 - Find the point in which the line through P(3, 2,...Ch. 11 - Prob. 56PECh. 11 - Prob. 57PECh. 11 - Prob. 58PECh. 11 - Prob. 59PECh. 11 - Is the line related in any way to the plane ?...Ch. 11 - Which of the following are equations for the plane...Ch. 11 - The parallelogram shown here has vertices at A(2,...Ch. 11 - Prob. 63PECh. 11 - Prob. 64PECh. 11 - Prob. 65PECh. 11 - Prob. 66PECh. 11 - Prob. 67PECh. 11 - Prob. 68PECh. 11 - Prob. 69PECh. 11 - Prob. 70PECh. 11 - Prob. 71PECh. 11 - Prob. 72PECh. 11 - Prob. 73PECh. 11 - Prob. 74PECh. 11 - Prob. 75PECh. 11 - Prob. 76PECh. 11 - Prob. 1AAECh. 11 - Prob. 2AAECh. 11 - Prob. 3AAECh. 11 - Prob. 4AAECh. 11 - Prob. 5AAECh. 11 - Prob. 6AAECh. 11 - Prob. 7AAECh. 11 - Prob. 8AAECh. 11 - Prob. 9AAECh. 11 - Prob. 10AAECh. 11 - Prob. 11AAECh. 11 - Prob. 12AAECh. 11 - Prob. 13AAECh. 11 - Prob. 14AAECh. 11 - Prob. 15AAECh. 11 - By forming the cross product of two appropriate...Ch. 11 - Prob. 17AAECh. 11 - Prob. 18AAE
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- Use substitution to find the indefinite integral. Зи u-8 du Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. A. Substitute u for the quantity in the numerator. Let v = , so that dv = ( ( ) du. B. Substitute u for the quantity under the root. Let v = u-8, so that dv = (1) du. C. Substitute u for the quantity in the denominator. Let v = so that dv= ( ) du. Use the substitution to evaluate the integral. S Зи -du= u-8arrow_forwardFind the derivative of the function. 5 1 6 p(x) = -24x 5 +15xarrow_forward∞ 2n (4n)! Let R be the radius of convergence of the series -x2n. Then the value of (3" (2n)!)² n=1 sin(2R+4/R) is -0.892 0.075 0.732 -0.812 -0.519 -0.107 -0.564 0.588arrow_forward
- Find the cost function if the marginal cost function is given by C'(x) = x C(x) = 2/5 + 5 and 32 units cost $261.arrow_forwardFind the cost function if the marginal cost function is C'(x) = 3x-4 and the fixed cost is $9. C(x) = ☐arrow_forwardFor the power series ∞ (−1)" (2n+1)(x+4)” calculate Z, defined as follows: n=0 (5 - 1)√n if the interval of convergence is (a, b), then Z = sin a + sin b if the interval of convergence is (a, b), then Z = cos asin b if the interval of convergence is (a, b], then Z = sin a + cos b if the interval of convergence is [a, b], then Z = cos a + cos b Then the value of Z is -0.502 0.117 -0.144 -0.405 0.604 0.721 -0.950 -0.588arrow_forward
- H-/ test the Series 1.12 7√2 by ratio best 2n 2-12- nz by vitio test enarrow_forwardHale / test the Series 1.12 7√2 2n by ratio best 2-12- nz by vico tio test en - プ n2 rook 31() by mood fest 4- E (^)" by root test Inn 5-E 3' b. E n n³ 2n by ratio test ٤ by Comera beon Test (n+2)!arrow_forwardEvaluate the double integral ' √ √ (−2xy² + 3ry) dA R where R = {(x,y)| 1 ≤ x ≤ 3, 2 ≤ y ≤ 4} Double Integral Plot of integrand and Region R N 120 100 80- 60- 40 20 -20 -40 2 T 3 4 5123456 This plot is an example of the function over region R. The region and function identified in your problem will be slightly different. Answer = Round your answer to four decimal places.arrow_forward
- Find Te²+ dydz 0 Write your answer in exact form.arrow_forwardxy² Find -dA, R = [0,3] × [−4,4] x²+1 Round your answer to four decimal places.arrow_forwardFind the values of p for which the series is convergent. P-?- ✓ 00 Σ nº (1 + n10)p n = 1 Need Help? Read It Watch It SUBMIT ANSWER [-/4 Points] DETAILS MY NOTES SESSCALCET2 8.3.513.XP. Consider the following series. 00 Σ n = 1 1 6 n° (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) $10 = (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) Sn + + Los f(x) dx ≤s ≤ S₁ + Jn + 1 + Lo f(x) dx ≤s ≤ (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s≈s is less than 0.0000001. On > 11 n> -18 On > 18 On > 0 On > 6 Need Help? Read It Watch Itarrow_forward
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