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(Solved) Use the difference quotient to show that (d)/(dx){{x}^{m/n}}=(m)/(n){{x}^{(m/n-1)}} for #15498
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[Solved] Find a and b such that [ 1 1 , a b , ][ 1 1 , a b #15502
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[Solution] cars start from the stopped position at the same time. Car 1 has an acceleration of 10m/sec^2. Car #15655
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Solution: A car is traveling at 2 m/sec^2. At time zero seconds the car has a velocity of 15 m/s and a displac #15656
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[Solution] Determine the maximum and minimum values of the following set of numbers. #15702
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[Solved] A firm can sell X units of a product at a price of P cents per unit, where P = 503 - X The total co #15901
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(See Solution) A Vancouver travel agency advertises all-expenses-paid trips to the Grey Cup Game for special groups #15902
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(See Solution) A small corner store owner decides to advertise on local radio in order to help stimulate his sales. #15904
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Solution: The table below shows the number of hours required in each of two departments to make one unit of va #15908
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[Solved] Find the compound amount if $6,400 is invested for 2 years at 12% compounded monthly. What differenc #15916
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[Solved] Deposits of $1,000, $1,100 and $680 were made into a savings account, the first two years ago, the s #15917
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Solution: A deposit of $2,000 earns interest at a rate of 14% compounded quarterly. After two and a half years #15918
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[Solved] Which is a better rate of interest, 16% compounded quarterly or 16 1/4% compounded semi-annually? #15919
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[Solved] Billy Burnett's grandfather willed Billy $10,000 payable on his twenty-first birthday. What will be #15920
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[Solved] At 16% compounded quarterly, how long would it take for money to triple? #15922
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(See Solution) At what annual nominal rate of interest will $6,900 earn $6,400 interest in five years? #15923
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[Solved] The Johnson family plans to purchase a new home five years from now. How much will they have accumul #15926
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[Solved] Mr. Strupp expects to retire in 12 years. Beginning one month after his retirement, he would like to #15931
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(Solved) a. The variables in question 5.3 are either discrete or continuous. Which are they and why? b. Exp #15938
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(Solved) Given s = 4t2 + 16t - 5, find the average speed at t = 3, and ?t = 1, where s is in meters and t is #15948
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Solution: Find the limit: #15949
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[Solution] Find the equation of the line tangent to the curve: y = 3x^2 - 9 at (4, 39) #15950
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[Solved] Find the derivative of: y = 2x4 - 3x +7 #15951
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(Solved) Find the derivative of: #15953
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Solution: Find the derivative of: #15954
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[Solved] Find the derivative of: #15955
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[Solution] Find the derivative using implicit differentiation: #15956
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[Solution] Find the first three derivatives of: #15957
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[Solution] Find relative maximum or minimum values of each function and sketch the curve a. y = x3 + 2x^2 -7x + #15958
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(Solved) For the function below, find the following: a. The intervals for which f(x) is increasing and decr #15959
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[Solution] The power P in watts (W) in a circuit with a resistance R in ohms (?) varies according to the follow #15960
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(Solved) Given y = 5x3 and at x = 2, find #15961
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[Solved] Find the derivative of: ) #15965
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Solution: Find the derivative of: #15966
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(See Solution) Evaluate this integral: #15967
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[Solved] Find the area under the curve: from x = 1 to x = 4 #15968
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Solution: Evaluate the integral: #15969
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(See Solution) Evaluate the integral: #15970
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[Solved] Evaluate the integral: #15971
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(Solved) Evaluate the integral: #15972
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Solution: Oil from an offshore rig located 3 miles from the shore is to be pumped to a location on the edge of #16233
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Solution: A box with a rectangular base is to be constructed of material costing $2/in.^2 for the sides and bo #16234
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[Solved] Find f ' (x) using the definition of the derivative f(x)=-(1)/(2x) #16243
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[Solved] Find the limit (finite or infinite) {x→ 6} lim (x-6)/(√{x)-√{6}} #16244
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[Solution] Use calculator to approximate {x→ 0} lim ({{9}^x}-{{5}^x})/(x) Construct a table, s #16245
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Solution: Identify any extrema of the function by recognizing its given form or its form after completing the #16261
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(Solved) Identify any extrema of the function by recognizing its given form or its form after completing the #16262
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[Solution] Find the absolute extrema of the function over the region R. (In each case R contains the boundaries #16265
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Solution: Find the absolute extrema of the function over the region R. (In each case R contains the boundaries #16266
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[Solved] Use a computer algebra system to graph several level curves of the function. f(x,y)=ln xy #16267
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(See Solution) Sketch the graph of the level surface f(x,y,z)=c at the given value of c. f(x,y,z)=9x^2-y^2+9z #16269
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[Solved] Identify the constraint and level curves of the objective function shown in the figure. Use the figu #16270
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[Solution] Maximize: f(x,y)=√{x^2+y^2} Constraint: 2x+4y-15=0 #16272
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[Solved] Maximize: f(x,y,z)=xyz Constraints: x^2+z^2=5, x-2y=0 #16275
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[Solution] Maximize: f(x,y)=x^2+{{(y-10)}^2} Constraints: {{(x-4)}^2}+y^2=4 #16276
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[Solved] Write the first five terms of the sequence. #16279
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Solution: Write the first five terms of the sequence. #16280
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[Solved] Determine the convergence or divergence of the sequence with the given nth term. If the sequence con #16281
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(See Solution) Write an expression for the nth term of the sequence. (There is more than one correct answer) #16282
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[Solution] Determine whether the sequence with the given nth term is monotonie. Discuss the boundedness of the #16283
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[Solved] Find the sum of the convergent series. #16284
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[Solved] Determine the convergence or divergence of the series. #16285
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[Solution] Determine the convergence or divergence of the series. #16286
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(See Solution) Use the integral test to determine the convergence or divergence of the series. #16287
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[Solved] Use the integral test to determine the convergence or divergence of the p-series. #16288
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[Solution] Use theorem 9.11 (provided below) to determine the convergence or divergence of the p-series. #16289
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[Solution] Determine the convergence or divergence of the series. #16290
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(See Solution) Use the direct comparison test to determine the convergence or divergence of the series. #16291
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[Solution] Use the direct comparison test to determine the convergence or divergence of the series. #16292
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(Solved) Use the direct comparison test to determine the convergence or divergence of the series. #16293
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[Solution] Use the limit comparison test to determine the convergence or divergence of the series. #16294
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[Solved] Use the limit comparison test to determine the convergence or divergence of the series. #16295
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[Solved] Determine the convergence or divergence of the series. #16296
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Solution: Determine the convergence or divergence of the series. #16297
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(See Solution) Determine whether the series converges conditionally or absolutely, or diverges. #16298
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[Solved] Determine the convergence or divergence of the series. #16299
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[Solution] Use the ratio test to determine the convergence or divergence of the series. #16300
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[Solution] Use the ratio test to determine the convergence or divergence of the series. #16301
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[Solution] Use the root test to determine the convergence or divergence of the series. #16302
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(See Solution) Determine the convergence or divergence of the series using any appropriate test from this chapter. #16303
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(See Solution) Determine the convergence or divergence of the series using any appropriate test from this chapter. #16304
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[Solution] Find the Maclaurin polynomial of degree n for the function. #16305
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[Solution] Find the nth Taylor polynomial centered at c. #16306
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[Solution] Use Taylor’s theorem to obtain an upper bound for error of the approximation. Then calculate the exa #16307
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[Solved] Determine the value of x for which the function can be replaced by the taylor polynomial if the erro #16308
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Solution: Find the radius of convergence of the power series. #16309
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[Solved] Find the interval of convergence of the power series. (Be sure to include a check for convergence at #16310
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[Solved] Find the interval of convergence of the power series. (Be sure to include a check for convergence at #16311
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Solution: Find the intervals of convergence of (a) f(x) (b) f'(x) (c) f''(x) (d) ∫{f(x)dx} Include a #16312
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[Solved] Solve. #16313
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(Solved) Find a power series for the function, centered at c, and determine the interval of convergence. #16316
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[Solved] Find a power series for the function, centered at c, and determine the interval of convergence. #16317
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[Solution] Use the power series to determine a power series, centered at 0, for the function. Identify the inte #16318
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(See Solution) Use the definition to find the Taylor series (centered at c) for the function. #16320
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(Solved) Use the definition to find the Taylor series (centered at c) for the function. #16321
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(See Solution) Solve each of the following differential equations. : #16397
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Solution: Solve each of the following differential equations. : #16398
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[Solution] Solve each of the following differential equations. #16399
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[Solution] Solve each of the following differential equations. #16400
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[Solved] Solve each of the following differential equations. Given that and when if: #16401
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[Solution] Bernoulli and Euler Differential Equations. Solve each of the following differential equations #16402
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[Solution] Bernoulli and Euler Differential Equations. Solve each of the following differential equations #16403
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