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Find x in R such that the following three vectors in R^3 are linearly dependant.
The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?
A Car Manufacturing claims that new car that it produced this year is normally distributed with the mileage of 25 Km/L. A sample of 6 cars was chosen and their mileages were as follows: 21, 20, 23,
A tank contains 480 gallons of water in which 60 lbs of salt are dissolved. A saline solution containing 0.5 lbs of salt per gallon is pumped into the tank at the rate of 2 gallons per minute.
Obtain the general solution to the equation (x^2+1) dy/dx+xy-x=0. Discuss all work and explanation for five star rating
Mention all the ordered pairs (a, b) that are elements of the relation. Employ the results from part a to construct the corresponding zero-one matrix.
The resistance force R on a body moving through water is measured for various velocities v.
A computer system bought by Jones Company cost $45,900. Using the MACRS method, compute the accumulated depreciation at the end of year 3. (Round all dollar amounts to nearest cent)
A cold beverage at 5 degrees C is set out in the room that is at 20 degrees C. If it takes ten minutes for beverage to warm to 12 degrees C, when will the temperature of the beverage reach 18 degre
A best-selling author decides to cash in upon her latest novel by selling the rights to book%u2019s royalties for the next six years to an investor. Royalty payments arrive once per year, starting o
You've saved $10,000 toward down payment on home. The money is invested in an account earning 7% interest. You will be ready to buy the new home once your savings account to reach $25,000.
Prove A less than or equal to 0. (Hint: Proof by contradiction is required) Provide an example of such a sequence (an) where A = 0.
Employ the Frobenius method to solve: 2xy'' - 2y' + y = 0. Find index r amd recurrence relation. Compute the first 5 terms (a0-a4) using the recurrence relation for each solution and index r.
Dividends have grown at the rate of 4.7% per year and are expected to continue to do so for the for the foreseeable future. Determine Cryton's cost of capital where the firms tax rate is 30%?
An overnight rainstorm has caused the major roadblock. Three massive rocks of mass m1 = 542 kg, m2 = 884 kg and m3 = 333 kg have blocked the busy road.
Susie Homaker desires to open delivery service called Cookies on Wheels. Baking skills and creativity are her strengths, but she lacks knowledge on how to keep records on money transactions for a bu
Describe that the initial value problem x'=x^(1/3), x(0)=0 has an infinite number of solutions. (Hint: Construct a solution that stays at x=0 until some arbitrary time t0, after which it takes off.
Compute the eqution of the tangent plane and normal line to the surface: f(x,y,z) = z^2-2x^2-2y^2 = 16 at P (1,-1,4). Find All extreme and saddle points: f(x,y,z) = x^3-xy+y^3.
In how many ways can n people be seated upon any number of circular tables. Please provide the explanation or recursion relation.
A spherical balloon was losing air at rate of 5 in^3/sec. At what rate is the radius of the balloon decreasing when the radius equals 5 inches?
Compute the annual amount that Paul can spend while on his world tour if he will have no money left in the bank when he dies? Suppose Paul has a remaining life of 22 years and earns 10 percent
Compute the sum-of-products expansions of the boolean function f(x y ) that equals 1 if and only if either x = 0, and y=1, or x=1 and y=0.
Sam has a loan that needs a single payment of $4,000 at the end of three years. The loan's interst rate is 6%, compounded semiannually. How much did Sam borrow?
Use the definition of convergence of a sequence to prove {(3n^2 + n)/(n^2 + 8)} converges to 3.
Edna has $20,000 of ordinary income. In addition, she had the $1,500 short-term capital gain upon one stock and $4,900 long-term capital loss on another. Determine her net income before the deducti