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- [Solved] Find the amount of each payment that must be made into a sinking fund to accumulate the following am #9558
- Solution: Find the simple interest for $4902 at 9.5% for 11 months. #9564
- [Solved] Find the amount of interest earned by depositing $12,903.45 at 10.37% compounded quarterly for 29 qu #9566
- [Solution] With a yearly inflation rate of 3%, prices are described by P(t)=P• {{1.03}^t}, where P is the #9571
- [Solution] Union membership as a percentage of the total labor force can be modeled by the M(x), where M(x)=0.0 #9572
- (See Solution) The total cost of repaying a student loan at an interest rate of r% per year is C=f(r). (a) What is #9598
- [Solved] A table of values for f,g,f',g' is given x f(x) g(x) f'(x) g'(x) 1 #9599
- (See Solution) A car is traveling at 60 feet per second when the brakes are applied. The position function for the #9600
- [Solved] A particle moves according to a law of motion s(t)={t^3}-12{t^2}+36t, t≥ 0, where t i #9601
- Solution: Given the function y=x^3-x^2-x+1. a. Find the points on the curve where the tangent lin #9602
- (See Solution) The demand for Guitar Hero can be modeled by p=211-0.002x and the cost can be modeled by c=30x+1,500 #9603
- [Solution] Sketch the region enclosed by the given curves and then find the area of the region (a) y=√{x+ #9660
- [Solved] (a) Find the number a such that the line x = a bisects the area under the curve y=(1)/(x^2),1&le #9661
- Solution: A watermelon is in the shape of a sphere with radius 9. We slice it at distance 2 from its center. W #9662
- [Solution] (a) Use the washer method to find the volume of the solid obtained by rotating about the y-axis the #9663
- (See Solution) Let R be the region bounded by the curves y=x^3, y=2x-x^2 (a) Calculate the area of R (b) Calculat #9664
- [Solved] Suppose that f is continuous and that ∫_1^3{f(x)dx}=1. Find ∫_0^1{xf(2x^2+1)dx} #9665
- [Solution] A camper has to bring a bucket of water to a campfire to put it out. He has the bucket, and must wal #9667
- (Solved) You’ve been asked to design the outer structure of a new room, just for New Wave one-hit wonders, fo #9668
- Solution: Find the volume of the solid generated by revolving the region enclosed by y^2=4x and y=x about the #9676
- (Solved) Find the arc length of the graph of the curve y=(x^3)/(3)+(1)/(4x) over the interval [1, 2]. #9677
- [Solution] Integrate ∫{x{{ csc }^2}}(2x)dx #9678
- [Solution] Integrate ∫{{{ cos }^2}(3x){{ sin }^2}(3x)}dx #9679
- [Solution] Integrate ∫{(1)/(x^2√{9-x^2)}dx} #9680
- [Solved] Evaluate the following limits: (a) {x→ 0} lim ( sin x-x)/( tan x-x) (b) {x→ {{1}^{+}}}li #9682
- Solution: Find the limit of the improper integral ∫_0^2{(1)/({{(2x-1))^{2/3}}}dx} #9683
- [Solution] Find the slope of the tangent to the curve r=3-2 sin θ at the point θ =π . #9684
- (Solved) Find the center and the radius of the following circle: x^2 + y^2 + 2x - 6y+1 =0 #9773
- [Solution] Find the center and the radius of the following circle: 4x^2 + 4y^2 = 1 #9774
- (See Solution) Find the center and the radius of the following circle: 25x^2 + 25y^2 -144 =0 #9775
- (See Solution) Calculate the sums of the following series: 5 + 10 + 15 + 20 +….+ 100 #9783
- (Solved) Calculate the sums of the following series: 1 + 1 ½ + 2 + 2 ½ + …. + 76 #9784
- Solution: Find the indefinite integral and check by differentiation. ∫{{t^3}√{{t^4}+1}dt} #9844
- [Solved] Find ∫{(ln x)/(x)dx}, using u=ln x #9845
- Solution: Find ∫{({e^t})/({{(2+{e^t))}^2}}dt}, using u=2+{e^t} #9846
- [Solved] Compute ∫_0^1{x{e^{-x^2}}dx} #9849
- (Solved) Using the Library, web resources, and/or other materials, find a real-life application of a quadrati #9854
- (See Solution) Find the slope of the tangent to the curve of intersection of the surface and the plane X = 3 at th #9904
- [Solution] Find the normal to the tangent plane to the surface #9905
- (See Solution) Find a point on the surface where the tangent plane is parallel to the plane #9906
- Solution: Find a point on the surface x^2+2y^2+3z^2=12 where the tangent plane is perpendicular to the line x= #9907
- (See Solution) A bee flies upward along the curve that is the intersection of z=x^4+xy^3+12 with the plane X = 1. A #9908
- [Solved] There is one point at which the plane tangent to the surface is horizontal. Find it. #9909
- [Solved] Find three real numbers whose sum is 9 and the sum of whose squares is as small as possible? #9910
- [Solved] A box is to be made where the material for the sides and lid cost $0.25 per square foot and the cost #9911
- [Solution] The material for the bottom of a rectangular box costs three times as much per square foot as the ma #9912
- [Solution] Find the minimum distance between the lines having parametric equations x = t-1, y = 2t, z = t + 3 #9913
- [Solution] Find the minimum distance between the origin and the plane x + 3y -2z = 4. #9914
- Solution: Use the method of Lagrange multipliers to find the dimensions of the rectangle of the greatest area #9915
- [Solved] Antonio has $5.00 to spend on a lunch consisting of hamburgers ($1.50 each) and French fries ($1.00 #9916
- [Solved] For f(x, y) = . Find Duf at the point (-3,3) in the direction 3i + 4j. #9919
- Solution: Find, for f(x,y) = sin(3x -4y) at () a.) The maximum directional derivative b.) The direction in wh #9920
- (See Solution) Leaving from the same point P, plane A flies east while plane B flies N 50oE. At a certain instant A #9921
- Solution: True or false: If f(x,y) =x{e^y}+x^2y and a point on the surface is (2,0), then the tangent plane at #9922
- [Solution] Use the total differential dz to approximate the change in z as (x,y) moves from P to Q. #9923
- (See Solution) Find the equation of the tangent plane to the surface at the point (2,1,1) #9924
- [Solved] Suppose the temperature T in , at (x,y) is given by, ,in what direction should a bumblebee at (40,2 #9925
- [Solution] The aggregate resistance R of three variable resistances are given by . Suppose are 100? and incre #9926
- [Solved] Falling sand forms a conical sand pile, when the pile is 5 ft high with base radius = 2 and the heig #9927
- Solution: Find parametric equations of the line tangent to the surface at the point (3,2,72) whose projection #9928
- [Solution] Find the slope of the tangent to the curve of intersection of the surface and the plane X = 3 at th #9929
- Solution: Find the normal to the tangent plane to the surface #9930
- [Solution] Find a point on the surface where the tangent plane is parallel to the plane #9931
- Solution: Find a point on the surface x^2+2y^2+3z^2=12 where the tangent plane is perpendicular to the line x= #9932
- (Solved) Solve. Write interval notation. -12<-3z+3≤ 0 #9940
- [Solved] Simplify. Write your answers in the form of a+bi where a and b are real numbers. (5-4i)(8-2i) #9945
- [Solution] Simplify. (4+frac{2)/(x)}{(x)/(4)+1/8} #9947
- [Solved] Solve the equation. (x+7)/(2)=(x-1)/(4) #9948
- Solution: A company’s profit, in dollars, as a function of the number of items sold x, is described by &p #9979
- (Solved) Solve the following inequalities: (a) |7x-8|≤ 4x+7 (b) {{(x+1)}^2}>0 (c) (3x)/(2x^2+18)<0 (d) #9985
- [Solution] On the same axes, sketch the functions: f(x)=10+3x-x^2 , g(x)=3x^2-6x-5 , Ca #9987
- [Solution] Find the optimal value of the function f(x,y)=3.5x^2+y^2-42x-28y+5xy+190 subject to 6x+5y= #9989
- [Solution] Solve the following integral ∫{(1- sin t)/( cos t)dt} #10050
- [Solved] Solve the following integral ∫{({{ sin }^3}t)/({{ cos )^5}t}dt} #10051
- (Solved) Solve the following integral ∫{(x)/(x^4+x^2+1)dx} #10052
- [Solved] Solve the following integral ∫{(x-1)/(x^2-4x-5)dx} #10053
- (See Solution) Solve the following integral ∫_{-2}^2{(x^2-4x)dx} #10054
- Solution: Solve the following integral ∫{(dx)/(√{x^2+16)}} #10055
- [Solution] Solve the following integral ∫_1^4{√{x^3}}ln xdx #10056
- Solution: Solve the following integral ∫{(dx)/(x+{{x)^{1/3}}}} #10057
- [Solved] Solve the following integral ∫{{{(x+ sin x)}^2}dx} #10058
- (See Solution) Solve following problems showing your work: 1. Set X = {6, 9, 12, 15, 18, 20}, Set Y = {3, 4, 6, 1 #10081
- Solution: Take the current amount you have in your checking or savings account. Suppose you have a choice of #10095
- (Solved) If $3000 is invested in an account that pays interest compounded continuously, how long will it take #10146
- (Solved) Solve the equation. Round your answer to three decimal places. 9x + 6 = 3x #10147
- [Solved] Use a graphing calculator to solve the equation. Round to two decimal places. 8x - 7 = 52 #10148
- [Solution] You are a passenger in a plane and you can see the horizon 10.5 kilometers away. What is the altitud #10195
- [Solution] A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the re #10202
- Solution: Sketch the graph of f(x)={ 3x-1, if x<2 , x+2, if x≥ 2 , } #10339
- [Solution] Sketch the graph of f(x)=x+6. #10340
- [Solved] Sketch the graph of g(x)=(x^2-36)/(x-6) #10341
- [Solved] Given a curve defined by the position vector x(t)=(sec t,{e^t},t cos t) compute the equation #10416
- [Solution] Given the curve x(t)=({t^2},2t-3,ln 3t) find the equation of the tangent line at the point wh #10417
- [Solved] A particle moves on a path x(t)=( cos t,- sin t,t-π) where t is time. Show that the veloc #10418
- [Solved] If x(t)=(t, sin 4t, cos 4t), 0≤ t≤ π , find (a) The velocity, speed and acceleration at #10420
- [Solution] Labeling the axes and intercepts, etc. make a neat sketch and name each of the following surfaces. ( #10421
- (Solved) Find the equation and sketch the closed portion of the surface of revolution generated by revolving #10422
- [Solved] Find the first partial derivatives of f(x,y)=x^2y sin (xy) #10423
- [Solution] For the surface z=√{x^2+y^2} find (a) The equation of the tangent plane at (1, 2, √{5}) #10424
- [Solution] Given w=x^2yz+y^2+z^2, where x=s sin t, y=s cos t and z=ln (st), compute (a) ∇ w (b) (&part #10425
- Solution: Find the equation of the tangent plane to the surface 2yz^3-x^2y=4z at the point (1, 4, 1). #10426
- Solution: Given xy+y^2-{e^{x^2}}=6, find an expression for (dy)/(dx), and state where it is valid. #10427
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