Calculus question and answers for January 02, 2024
- Q 7 r t F t G t where Answer TO F t cos ti sin tj tk G t cos ti sin tj
- Q At the end of every 3 months Mayan deposits 200 into an account that pays 5 compounded quarterly After 2 years she puts the accumulated amount into a certificate of...
- Q Verify that y and y are solutions of the differential equation then find a particular solution of the form y c y c y that satisfies the given initial conditions...
- Q Make a substitution to express the integrand as a rational function and then evaluate the integral Use C for the constant of integration 7e2x 11e 18 e2x dx 9 ln...
- Q O Correct Consider a triangle ABC like the one below Suppose that c 66 a 31 and C 124 The figure is not drawn to scale Solve the triangle Carry...
- Q Consider the following series Yes No 00 n 1 Does the function f x 1 n 9 0 4163 1 x 9 Evaluate the following integral If it is convergent...
- Q Evaluate the integral 122 2 1 2x 3x 1 0 2 ln 3 In 2 dx
- Q 1 dx Evaluate 1 x by applying Rule a Trapezoidal Simpson s 1 3 Rule b c Simpson s 3 8 Rule
- Q Suppose you have just poured a cup of freshly brewed coffee with temperature 94 C in a room where the temperature is 20 C a When do you think the...
- Q 2 Bessel functions are useful in the analysis of problems that involve oscillations Very impor tant equations in differential equations involve Bessel functions in their solutions If a is a...
- Q 16 X Find an equation of the curve that passes through the point 0 4 and whose slope at x y is x y is X
- Q Sketch the curve r 1 sin 0 2 h to from Solution Instead of plotting points we first sketch the graph of r 1 sin 8 in Cartesian coordinates in...
- Q Find a polar equation for the curve represented by the given Cartesian equation Assume 0 0 2 3x 3 y
- Q Find a Cartesian equation for the curve r 3 sec 0 Identify the curve O hyperbola O ellipse O lima on O line O circle
- Q c O 4 2 4 2 2 4 6 2 4 X 4 2 6 4 2 1 2
- Q 6 FIX 12 11 X lata you sa A 3 1767 13 D 8 galata y s sat E 9 gar a y s sat galata y s sat plats...
- Q Find the maximum volume of a box that is resting on the xy plane with one vertex at the origin and the opposite vertex in the given plan 7x By...
- Q 2 A tank with a capacity of 500 liters originally contains 200 liters of water with 100 kilograms of salt in the solution Water containing 1 kg of salt per...
- Q A tank initially contains 120 liters of pure water A mixture containing a concentration of y g liter of salt enters the tank at a rate of 3liters min and...
- Q Check if the equation is exact if it is solve it If there is an initial value find the particular solution satisifying the initial value 1 3x 2 y 2...
- Q 1 An object stretches a spring 4cm in equilibrium Find its displacement for t 0 if it is initially displaced 36 cm above equilibrium and given a downward velocity of...
- Q Find the general solution and if an initial value is given solve the IVP 1 y 5y 6y 18x 2 18x 22
- Q Technetium 99m is a radioactive substance used to diagnose brain diseases Its half life is approximately 6 hours Initially you have 220 mg of technetium 99m a Write an equation...
- Q Solve the differential equation If there is an initia value find the particular solution satisfying the initial value 1 xy 2y 4x 2 y 1 4
- Q Consider the following graph The function in the graph is a solution of one of the following differential equations A y 1 xy B y 2xy C y 1 2xy...
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