Basic Math question and answers for August 04, 2023
- Q Consider the region R enclosed between the curves y = 2 /x and y= 1, between x = 1 and x = 2.Calculate the volume of the solid obtained by...
- Q Is the functiong(x) = (x^2)cos(x)A solution to the differential equation(x^2)y''- 2y=0
- Q Use Polar coordinates to find the volume inside the spherex2 + y2 + z2 = 16 and outside thecone z2 = 3x2 +3y2.
- Q In each of the following situations, identify the independentvariable and dependent variable.Determine whether the growth is linear or exponential and explainwhy by the definition of linear andexponential growth (Do not...
- Q 1.) Evaluate the given definite integral.Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA2.) Evaluate the definite integral.Integral from negative 1 to 1 dx∫−1 1 (x^2+1) dx3.) Evaluate the definite...
- Q Determine the slope of the tangent line, then find theequation of the tangent line at1. x= 3 sin(t), y= cos(t), t=pi/62. x= sqrt t, y= 3t, t=36
- Q Part A: Find the slope of the tangent line to the graph off(x)=√(5x+9) at the point (8,7)Part B: Find an equation of the tangent line to the graph off(x)= −3x^2...
- Q Suppose the demand function for a given product is q = 5,400 -2p2, where p is the price in dollars.Find the price interval(s) where demand is elastic:Find the price interval(s)...
- Q A 300-room hotel in Las Vegas is filled to capacity every nightat $80 a room. For each $1 increase in rent, 3 fewer rooms arerented.At what rate should the rooms...
- Q For the curve r = 5sinθ, find the slope of the tangent line whenθ = π / 2.
- Q A car is traveling at 88 ft/sec when the brakes are applied,producing a constant deceleration of 11ft/sec2.22ft/sec^2. What isthe distance traveled before the car comes to a stop?
- Q greg c one of our team leaders.... saving money to complete hisdream hobby project what is the future value $2000 is invested at12% compounded after 10 yearsmethod a) every 6...
- Q 1, Using rectangles whose height is given by the value of thefunction at the midpoint of the​ rectangle's base, estimate thearea under the graph using the first two and then...
- Q What is the equation of the line tangent to the curve at point(12,5)?Sorry! Forgot to include the curve equationy = 3x2 - 2x + 1
- Q consider the function f(x) = 1 +x3Â Â e-.3xa. what is f'(x)b. what is f''(x)c. what are the critical points of f(x)d. are the critical points a local min or local max...
- Q Using newton's method, estimate the value of 5^1/7 accurately to6 decimal places.
- Q 1a) Find all first and second partial derivatives off(x,y)=x^4−3x^2y^2+y^41b) w=xycosz, x=t, y=t^2, and z=t^3. Find dw/dt using theappropriate Chain Rule.1c) Find equation of the tangent plane and find a set...
- Q Set up an integral that uses the disk method to find the volumeof the solid of revolution obtained by revolving the area betweenthe curves y = sech(x/2), y =2, x...
- Q Please provide the following info for the given functionIncreasing:?Decreasing:?Local Min(s):?Local Max(s):?Concave up:?Concave down:?Point(s) of Inflection:?f(x)= 2sin(x)+sin(2x), over [0,2pi ]
- Q Regression Project: DataThe table below contains the price, demand, and totalcost data for the production of x widgets. Here p is the price (indollars) of a widget for an annual...
- Q 1. Let U = {r, s, t,u, v, w, x, y,z}, D = {s, t, u,v, w}, E = {v, w,x}, and F = {t, u}. Use rosternotation to list...
- Q Use the Laplace transform to solve the IVP: y^'''+y^''+3y^'-5y=16e^(-t); y(0)=0; y'(0)=2; y^'' (0)= -4
- Q A fisherman is in a row boat on a lake 2 miles form shore whenhe catches a huge fish. He wants to show the fish to his buddies ina tavern...
- Q For a company that produces respirators, the Cobb-Douglasfunction is given f(x,y)=120x^(1â„3) y^(2â„3) Where \"x\" representslabor units ($100 per unit) and \"y\" represents capital units ($150per unit). Total labor and capital...
- Q I = ∫sqrt(4x^2+20) dxI = ∫(1)/(x^2*sqrt(x^2-a)) dx
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