Josh T

I am trying to find the steps to factor out the equation

x^4+64x

I can't seem to get the right answer, any help would be appreciated.

A golf ball is hit with an initial velocity of v0 at an angle θ. Show that the range x of the ball can be maximized when the ball is hit an angle of 45°.

A projectile is fired from ground level at an angle of 30 degrees with an initial velocity of 75 ft/sec. Find

(a) the displacement r(t)

I think I might be approaching this the wrong way because I am finding it is either 0 because the ball lands at the same level... or that displacement is merely the y component of the motion of the ball.

Also, for clarification we are not using kinematics here, only a(x) = 0 and a(y) = -9.8m/s^2 ... or of course -32.2ft/s^2

Once again this problem deals with projectile motion and we are only worried about the x and y direction.

A hunter aims directly at a target (on the same level) 140 m away. If the bullet leaves the gun at a speed of 280 m/s, by how much will the bullet miss the target?

I have worked out a funtion and arrived at this

t(x) = sqrt(1 + x^2) / 2 + (1 - x) / 3

The parenthesis are not part of the equation I just threw them in for clarification. I am trying to set the left side of the function to 0 and then solve for x but for some reason I am not quite getting the answer I need.

I am trying to find the Derivative and Second Derivative of 2 pi x + cos 2 pi x

A flare is ejected vertically upwards from the ground at 15 m/s. Find the height of the flare after 2.5 s.

A missile is accelerating at a rate of (4 t) m/s2 from a position at rest 35 m below ground level. How high above the ground will it be after 6 seconds? (Do not use kinematic equations; integrate acceleration to find velocity and then integrate velocity to find displacement)

The velocity of an automobile as a function of time is given by v=Bt - Ct^2, where B = 6.0 m/s^2 and C = 2.0 m/s^3.

(a) At what times is the velocity zero?

(b) At what time is the acceleration zero?

(c) Sketch v as a function of t for 0 ≤ t ≤ 4.0 s

The velocity of a skydiver, after opening the parachute, is given by V(t) = g/k (1 - e ^-kt)

Find an expression for the skydiver’s displacement, assuming he starts at t =0 and ends at t=T seconds.

A compound with the empirical formula CF2 has a density of 5.4 g/L at 62.3 degrees Celsius, 751 torr. What is it's molecular formula?

Once I find moles I can finish the problem but for some reason I can't get the correct amount.

A solution contains an unknown concentration of citric acid, H3C6H5O7. A 15.73 mL portion of this solution is placed in a flask and titrated with 0.121 M NaOH. The endpoint is reached when 23.44 mL of the NaOH solution have been added. Calculate the molarity of the citric acid solution.

All of the first row transition elements (Sc through Zn) form water-soluble compounds with bromine. Some have the general formula MBr2, others have the formula MBr3.

A 0.654 g sample of an unknown compound containing a first row transition metal and bromine is dissolved in water. When excess 0.1 M AgNO3 is added to this solution, a precipitate forms. The precipitate weighs 1.263 g. Identify the unknown compound.

A chemist wants to determine the molarity of a CuSO4 solution. The following reactions are carried out:

Rxn 1: The chemist mixes 12.50 mL of the CuSO4 solution with excess 0.1 M KI solution.

4 KI(aq) + 2 CuSO4(aq) --> 2 CuI(s) + I2(aq) + 2 K2SO4(aq)

Rxn 2: The Chemist adds 0.0816 M Na2S2O3 to the mixture from reaction 1, and the following reaction occurs:

2 Na2S2O3(aq) + I2(aq) --> Na2S4O6(aq) + 2 NaI(aq)

it requires 14.55 mL of the Na2S2O3 solution to consume all of the I2 formed in the first reaction. Calculate the molarity of the original CuSO4 solution.

Osmium (Os, element 76) reacts with Oxygen to form a binary compound. Determine the empirical formula of this compound from the following experimental data:

When 3.226 g of Osmium is mixed with 6.144 g of oxygen, all of the Osmium is consumed, but some oxygen is left over. The remainging oxygen is allowed to react with excess aluminum, forming 10.745 g of Al2O3

A chemist mixes 6.277 g of KMnO4, 3.514 g of C2H5OH and 7.212 g of H2SO4 reacting as follows:

4 KMnO4 + 5 C2H5OH + 6H2SO4 --> 4 MnSO4 + 5 HC2H3O2 + 2 K2SO4 + 11 H2O

If the reaction goes to completion, how many grams of each product will be formed, and how many grams of each reactant will be left over?

I would appreciate help with the whole problem but what I really need is how to find the limiting reagent with three reactants in the equation.

A transition metal reacts with Bromine to form a compound with the formula MBr3, where "M" stands for the metal. When 2.270 g of the metal reacts with excess bromine, 12.734 g of the metal bromide is formed. Using this information, identify the metal.

I have tried this every way I can think of and am not having much luck

If it is known from past experiments that the height H in inches of a given plant after t months is given by H = 8 (sqrt t) - 2t. How long will it take a plant to reach its maximum height and what will that height be?

The question I was given is:

Jumping from a 10 meter diving board, a diver's height above the water, h, in meters after t seconds is given by the formula h = -4.9t^2 + 10

(a) Find the formula for the velocity, v, at any time,t

I have the velocity function (f ') as -4.9(2)t = -9.8

(b) Find the acceleration, a, at any time t

(c) When does the diver hit the water?

(d) At what speed does the diver hit the water?

Any help would be greatly appreciated.

I am trying to find the derivative of f(x) = x^2 - 5x using the definition f(x+h) - f(x) / h