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About 11892 results. 1294 free access solutions
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free/or 0.5$ |
| m60207 | Same question as in Prob. 14 for the matrix in Prob. 9. |
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| m60229 | Show (BA) T = – AB for A and B in Example 2, for any n X n Hermitian A and skew-Hermitian B. |
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| m60253 | Show that a consumption matrix as considered in Prob. 15 must have column sums 1 and always has the eigenvalue 1. |
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| m60307 | Show that the inverse A–1 exists if and only if none of the eigenvalues λ1, ∙ ∙ ∙, λn of A is zero, and then A–1 has the eigenvalues 1/ λ1, ∙ ∙ ∙, 1/λn. |
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| m60744 | Team Project, Geometric Applications
To increase your skill in dealing with vectors, use vectors to prove the following (see the figures)
(a) The diagonals of a parallelogram bisect each other.
(b) The line through the midpoints of adjacent sides of a parallelogram bisects one of the diagonals in the ratio 1:3.
(c) Obtain (b) from (a).
(d) The three medians of a triangle (the segments from a vertex to the midpoint of the opposite side) meet at a single point, which divides the medians in the ratio 2:1.
(e) The quadrilateral whose vertices are the midpoints of the sides of an arbitrary quadrilateral is a parallelogram.
(f) The four space diagonals of a parallelepiped meet and bisect each other.
(g) The sum of the vectors drawn from the center of a regular polygon to its vertices is the zerovectors. |
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| m61311 | Verify that A and  = P–1 AP have the same spectrum. Here A, Pare: |
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| m61321 | Verigy (4) for the vectors in Probs. 21 and 23 |
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| m66230 | 2/3, 6, √3, - 2.45, 6√26, 18., - 11, 3√27,
5 1/6, 7.151551555 . . . . , - √35, 5√3, - 8/7, 0, √16.
a. Which are rational numbers?
b. Which are natural numbers?
c. Which are irrational numbers? |
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| m66233 | -7, 43, - 4/9, √17, 0, 2.191191119, 3√64, -22, - √2, 4 ¾, 12/7, 5√5.
(a) Which are rational numbers?
(b) Which are whole numbers?
(c) Which are integers?
(d) Which are real numbers? |
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| m66234 | $85 per hour for loading/unloading service
$70 per hour for packing/unpacking service
$5 per mile for truck rental
We Move U charges for moving according to the rate schedule shown. Nicky is moving a distance of 150 miles and needs 7 hours of loading/unloading and 5 hours of packing/unpacking. What will her moving cost be if the service also charges 8% tax on the total? |
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| m66235 | A 150-lb person who runs at 6 mph for 1 hr burns about 720 calories. The same person, walking at 4 mph for 90 min, burns about 480 calories. Suppose a 150-lb person runs at 6 mph for 75 min. How far would the person have to walk at 4 mph in order to burn the same number of calories used running? |
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| m66236 | A 24-in. piece of string is cut into two pieces. One piece is used to form a circle while the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum? |
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| m66237 | A 3-oz serving of roasted, skinless chicken breast contains 140 Cal, 27 g of protein, 3 g of fat, 13 mg of calcium, and 64 mg of sodium. One-half cup of potato salad contains 180 Cal, 4 g of protein, 11 g of fat, 24 mg of calcium, and 662 mg of sodium. One broccoli spear contains 50 Cal, 5 g of protein, 1 g of fat, 82 mg of calcium, and 20 mg of sodium. (Source: Home and Garden Bulletin No. 72, U.S. Government Printing Office, Washington, D.C. 20402)
a) Write 1 × 5 matrices C, P, and B that represent the nutritional values of each food.
b) Find C + 2P + 3B and tell what the entries represent. |
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| m66238 | (a) (-4, 5), (6, 1), and (-8, -5)
(b) (-3, 1), (2, -1), and (6, 9)
(c) (-4, 3), (0, 5), and (3, -4)
a) find the distance between each pair of points |
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| m66239 | A 60-ft by 80-ft parking lot is torn up to install a sidewalk of uniform width around its perimeter. The new area of the parking lot is two-thirds of the old area. How wide is the sidewalk? |
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| m66242 | (a) A = 1/2bh, for b
(Area of triangle)
(b) A = π r2, for π
(Area of a circle)
(c) P = 2l + 2w, for w
(Perimeter of a rectangle) |
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| m66244 | a. A related function is graphed. Solve the given inequality.
x3 + 6x2 < x + 30
b. x4 - 27x2 - 14x + 120 ( 0
c. 8x / x2 - 4 ( 0 |
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| m66250 | A ball is thrown directly upward from a height of 6 ft with an initial velocity of 20 ft/sec. The function s(t) = -16t2 + 20t + 6 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height. |
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| m66254 | A bank offers a $25,000 loan at an interest rate of 7.7% that can be paid back over 2 to 10 years.
a. Write the monthly payment formula for this loan situation. Let t represent the number of years from 2 to 10 inclusive.
b. Write the total interest formula for this loan situation. Let t represent the number of years from 2 to 10 inclusive.
c. Construct a graph. Let the independent variable represent years and the dependent variable represent the interest paid.
d. Use your graph to estimate the interest for a 6 1/2-year loan. |
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| m66255 | A bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 4% for 3 years.
a. Find the interest if it is computed using simple interest.
b. Find the interest if it is compounded annually.
c. Find the interest if it is compounded semiannually.
d. Find the interest if it is compounded quarterly.
e. Find the interest if it is compounded monthly.
f. Find the interest if it is compounded daily.
g. Find the interest if it is compounded hourly.
h. Find the interest if it is compounded every minute.
i. Find the interest if it is compounded continuously.
j. What is the difference in interest between simple interest and interest compounded continuously? |
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