Calculus question and answers for October 09, 2023
- Q Use variation of parameters to find a general solution to the differential equation given that the functions y? and y? are linearly independent solutions to the corresponding homogeneous equation for...
- Q A professor gives a test worth 100 points. The mean is 95, and the standard deviation is 4. Is it possible to apply a normal distribution to this situation? Why...
- Q Solve the initial value problem 4y" - 12y' +9y = 0, y(0) = 3,y'(0) = 5.y(t)=
- Q Which conic section is defined by the function f(x) = 2x + 9x + 6?ParabolaEllipseHyperbolaCircle
- Q If sin x = 5/2. Find the value of csc x.1/52/55/33/5
- Q The probabilities of events A, B, and An B are given. Find (a) P(A U B), (b) the odds in favor of and the odds against A, (c) the odds...
- Q Simplify: ?100Type your answer...Simplify: ?27Type your answer...Simplify: ?287?22?74?7Cannot be simplified
- Q Rewrite the following complex numbers in its polar form rcis (?), where 0 ? ? < 2?. Give exact answers only.a. 1/8r =? =b. 3ir =? =c. 9 - 9ir...
- Q Determine whether the given equation is exact. If it is exact, solve.(2xy-3) dx +(4+2xy)dy=0
- Q Solve the homogeneous systemx? +x3 +x4=0x? +x3=0x3+x4=0by transforming the coefficient matrix (whose columns follow the order: x?, x2, x3, x4) to r.r.e.f (otherwise, you may obtain a wrong answer).Hint: Use...
- Q Use trigonometric identities to establish the identity: tan(t) + cot(t) = 1/(sin(t) cos(t))This question requires a file submission, so I am asking you to show at least 3 steps to...
- Q The value of n that completes the square for x -12x +n is 144.
- Q A particle moves according to a law of motion s = f(t), t? 0, where t is measured in seconds and s in feet. (If an answer does not exist,...
- Q Find the exact values of sin(x/2), cos(x/2) and tan(x/2) without solving for x.If sec z=-7, and a is in quadrant 2.sin(x/2)cos(x/2) tan(x/2)
- Q Find the general lower and upper sums (in terms of n) of the area of the region bounded by the x-axis and g(x) = 20x over [7, 8].Lower Sum:Upper Sum:Determine...
- Q Find the Jacobian of thetransformation.x = 8u + v, y = 9u - v
- Q Solve the following equation.x^-2 - 4x^-1 - 5 = 0Larger x = Smaller x =
- Q Find the relative maximum and minimum values.f(x,y) = e^(8x + 5y + 6)Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A. The...
- Q A rental car company charges $35 plus 35 cents for each mile driven.Part1. Which of the following equations could be used to model the total cost, C, of the rental...
- Q Let f(x,y)=x - 4xy-y. Compute f(3,0) and f(3,-3).f(3,0)= (Simplify your answer.)f(3,-3)= (Simplify your answer.)
- Q Enter the solution set of the equation. If the equation has no solution, enter no solution in the box.x x +2 + 4 x - 3 = 20 x2 -...
- Q find the characteristic equations of dx/1=dy/-(2+x)=dq/-xe^x+q What is the general solution
- Q On which interval is the IVP (z cos x)y' + 2y = x+1, y(-5) = 2 guaranteed to have a unique solution?(-?,?)(-?,?)(-5,?)(-5,0)(-?,?)(0,? 2)(-? 2,? 2)(0, ? 2)(-? 2,0)(-2?,-3? 2)(-5? 2,-3?...
- Q Solve the equation f(x) = x = x-x+1 given that one of its roots is a = 1A. x = {1}B. z={-1,1}c.z={-1}D. z = {0}
- Q Mark dropped a phone from his apartment balcony. In an apartment below, Madelyn noticed the phone pass by her 2.4-meter tall window in 0.026 seconds. From how high above the...
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