Calculus question and answers for October 10, 2023
- Q #8 Write an algebraic equation to represent the given information of a rectangle. Let w be thewidth and / be the length of the rectangle.a) The perimeter of the rectangle...
- Q 1. Evaluate the following integrals using integration by parts. Clearly denote what is playingthe role of u, du, du, and v.(a) [In rd.rHint: The integral is equivalent to(b) In]nrdrof-0Hint: Set...
- Q Evaluate the expression 3f (2) - 3g (-3) for the given functions f and g.3f (2)-3g (-3) =f(x)=2x-4 g(x)=2-2
- Q Rewrite the following equation with the variables separated.y' = 6xy2 + 2xy + 6y + 2y
- Q Simplify.sinx - cos x(cos(-x))sinx
- Q Using the Midpoint Method, calculate y(0.4) for the following:y' -5xy, y (0) = 1, h = 0.2The solution for this ODE is given by: y = 1/(1+x)^5Use 6 decimal places.0.9984000.991815.0.9856630.989156
- Q dyThe differential equation = xy + y is separable. Select thedamost appropriate statement from among the following choices.OFalse. ddy= xy + y is not a separable differential equation.O True. The...
- Q CDs cost $5.96 more than DVDs at All Bets Are Off Electronics. How muchwould 6 CDs and 2 DVDs cost if 5 CDs and 2 DVDs cost $127.73?Remember to include...
- Q x + y + z =-3 (1)2x + 5y + 2z = 3(2)-x+8y-3z = 40 (3)...Write the solution as an ordered triple. Select the correct choice below and fill in...
- Q Let y = sin(4x). If Ax = 0.2 at x = 0, use linear approximation to estimate AyAy dy =Find the percentage errorerror =%
- Q What value of C makes the trinomial a perfect square trinomial?T+18x+c
- Q Given a solid bounded by the paraboloid z = 16-2 - y in the first octant.Draw the projection of diagram using mathematical application (GeoGebra etc.) from:x-axis (2 m)y-axis (2 m)C....
- Q A police car is located 40 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is...
- Q Part I: Evaluate f(0)A. Identify the function that will be used when x = 0. (1 point)B. Find the value of this function when x = 0. (1 point)Part II:...
- Q Given: (x is number of items)Demand function: d(z) =Supply function: a(z) = 5??zFind the equilibrium quantity:1805Find the producer surplus at the equilibrium quantity: Sitems
- Q For the real-valued functions f(x) =x + 2and g(x) = 4x+5, find the composition fg and specify Its domain using interval notation.x+3
- Q Use a half angle formula to fill in the blanks in the identity below:(cos(4x)) =H+1Cosx)
- Q Solve 8 cos(4x)6 for the smallest three positive solutions.Give your answers accurate to at least two decimal places, as a list separated by commas
- Q Find for the following:dyda2Ty = yT+yOdy=dadydadydrdydaII-2xy+2yT-2x+2y-xy+y-x+y| *********-Ty+y2x-x+yDe2xy-x+2xJhy
- Q Find the inverse of y = sin 2x.O2 sin(x)O sin(2x)O sin-1(x)/2O2 sin (?)
- Q 4x?x - 4xDetermine the derivative of f.Let f(x)dfdx=Determine the slope of fat x = 9.f'(9) =
- Q Houston Pumps recently reported $222,500 of sales, $140,500 of operating costs other than depreciation, and $9,250 of depreciation. The company had$35,250 of outstanding bonds that carry a 6.75% interest rate,...
- Q Finance. A person wishes to have $22,600 cash for a new car 6 years from now. How much should be placed in an account now, if the account pays 5.4%...
- Q 2. The data in the table shows the times for Men's 500-m Speed Skating event at the Winter Olympics. Let x be the number of years since1980.Year1984198819921994199820022006Time (sec)38.1936.4537.1436.3335.5934.4234.84SOURCE: www.infoplease.comDDDDDa. Find...
- Q We continue to guess-check-revise by guessing smaller and smaller widths until we have a total area of2,880 square inches for the mulched border.156 in + ? in60 in + 2(?)...
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