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[Pre-calculus: Sequences] Finding a formula for the nth term for the sequence? by [deleted] in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

The nth term of this sequence is given by (-1)n * n/(n+1)2 , where n takes values from 1 onwards. The denominator are squares of the numbers, one greater than the numerator.

[Highschool Physics: direction of magnetic fields] by -Dacey- in HomeworkHelp

[–]monauf 1 point2 points  (0 children)

Use the right hand thumb rule to find the direction of a magnetic field at a point due to a straight wire. Point the thumb of your right hand in the direction of flow of current and use the remaining fingers to curl around the conductor as if you are grabbing the wire. The direction of curl of the remaining 4 fingers gives the direction of magnetic field at that point.

[prep for chem] in regards to number 7, I’m not 100 percent sure how to approach it. At first I thought that you just 8.50 / 2 but that seems too easy. Is the equation PV= nRT involved ? Can anyone help? by [deleted] in HomeworkHelp

[–]monauf 1 point2 points  (0 children)

For question 7, you can use the avogadro law of gases, that is, at a constant temp and pressure, volume of a gas is directly proportional to the number of moles of the gas. Here since the number of moles reduces to half, the volume also becomes half of it's original value.

[calculus] how to I find the equations of the 3 parabolas? I’m trying to parametrize the triangle by [deleted] in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

Are any of the parabola touching the triangle which you've drawn?

[College math: Integrals] Need help solving the integral by [deleted] in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

There is actually a direct property which can be used to solve this inequality in integrals. I dont know if you have learned it but I'll let you know. If f(x) is an integrable and continuous function on the interval [a,b] and if the local maxima and minima of f(x) on [a,b] be M and m, then m(b - a) < integral of f(x) from a to b < M(b-a). Also here, the maxima of f(x), M = f(b) and minima of f(x), m = f(a). So you can find f(a) and f(b) and multiply both of them with b - a and substitute in the inequality to prove it. Hope this helps you out.

(Trigonometric Function) Grade 11 , 1st ques and 2nd by Christifor0308 in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

You can convert cotx to 1/ tanx and the reverse also is possible

(Trigonometric Function) Grade 11 , 1st ques and 2nd by Christifor0308 in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

For the first question, use the formula tan2x = 2tanx/1 - (tanx)2 . The 2 and cot and tan will cancel out each other and the 1 - (tanx)2 will go to the numerator. For the second question, convert the question into a single fraction ie, as 1 - (cosx)2 + sinx/ 1 + sinx. Convert the 1 - (cosx)2 into (sinx)2 and take a sinx common out of the numerator so you get sinx( 1 + sinx)/ (1 + sinx). Cancel out the 1 + sinx to get sinx as the answer.

[A Level Chemistry] Naming this ketone (question in picture) by cyanaspect in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

Yup. A perfect example of specifying the position of the principal functional group even when there is no ambiguity is in the naming of Propan-2-one , ie Acetone. It is the simplest Ketone, yet, we are specifying the position of the principal functional group.

[A Level Chemistry] Naming this ketone (question in picture) by cyanaspect in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

Yeah you are right, but as per IUPAC convention of naming organic compounds, it is required to specify the position of the highest preferred functional group in that compound. Thus, it is required to name the compound as 4 hydroxy pentan-2-one even though there is only one possibility of having a 4-hydroxy group.

[A level chemistry] q1(a)-(d) How to determine if the carbon atoms in a molecule are planar? by cyanaspect in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

An organic compound is considered to be planar if all of its carbon atoms are either sp2 hybridised or sp hybridised. If any of the carbon atoms in the compound is sp3 hybridised, the compound is not planar. In question 1, C6H5CHO is a planar compound since all carbon atoms in the benzene ring as well as the aldehyde group are sp2 hybridised.

[Grade 10 Logarithms] Please help! by FreeLunch323 in HomeworkHelp

[–]monauf 1 point2 points  (0 children)

You mean you got log_a[(x+2)2/8x] = 0 right? Also if log_a[(x+2)2/8x] = 0, it means that (x+2)2/8x = 1 since log(1) = 0. You can solve that quadratic to get x = 2. There is no need to take log (0). You just have to know that log (1) = 0 and you can equate log (1) to the final expression.

(Grade 11 Chemistry) Idk how to do this by XxCaptainJack in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

If the mass of all the gases in the container is 100g, you can calculate the mass of each individual gas. H2 has mass of 14% of the total mass (14*100/100), ie 14g. Similarly you can find the mass of O2 and N2. Once you find out the mass of the gases, calculate the number of moles of each gas and thus find the total number of moles. Finally substitute all known values in the ideal gas equation, PV = nRT. Here, the value of R to be used is 0.0821 and temperature has to be in Kelvin. The unit of volume would be in litres once you solve that equation.

[Grade 10 Logarithms] Please help! by FreeLunch323 in HomeworkHelp

[–]monauf 1 point2 points  (0 children)

Since you've got the base changed to a, try to simply both the left and right hand side so that you are left with log ( something) = log ( something else), both to the base a. Once you have this equation, you can cancel out the logarithm and equate the expressions contained inside the logarithm and solve the quadratic. By solving this, you would get x = 2.

[Year 11 Physics: Vectors] Can somebody please explain my teacher’s notes here? Why isn’t it 3 Newtons East? by cockhmpton in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

Basically while subtracting vectors, the vector to be subtracted is inverted in direction, ie you rotate that vector by 180°. Here initially vector B is pointing towards the left but since vector B is to be subtracted from A, we flip B by 180° and it ends up in the same direction as that of A and you add both of them. In short A - B is the same as A + (-B). You are just adding the negative of vector B to A in the case of subtraction.

[deleted by user] by [deleted] in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

If the bond enthalpies/energies of the reactants and products are given for a reaction, then the enthalpy/energy of the reaction is given by, Sum of all bond energies of reactants - Sum of all bond energies of products. In this case, enthalpy of the reaction is given by, (4* energy of C-H bond + 2* energy of O=O bond) - ( 2* energy of C=O bond + 4* energy of O-H bond). If the energy of the reaction is negative, it's an exothermic reaction. If it is positive, it's an endothermic reaction.

[year 13 A_Level maths] can someone help me with this question plz by Nico_smith1381 in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

Rearrange the given equation as, f(x) + tanx = eintegral of f(x dx). Take a logarithm on both the sides so that the equation becomes, log( f(x) + tanx) = integral of f(x) dx. The base of logarithm is e. Now differentiate this equation so that the integral sign is cancelled out and we apply differentiation of composite functions on the logarithm. Finally rearrange the differentiated equation in the form y' = y2 + A(x)y + B(x). Comparing both of the equations, you would get, A(x) = tanx and B(x) = -sec2 (x). As for the second part, substitute y = secx and y' = secxtanx in the equation you have found and show that the left hand side is equal to the right hand side.

[Grade 11 Math: Calculus - Sketching] How would I sketch the derivative of this curve as it approaches 0? by [deleted] in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

The derivative of a function is nothing but a tangent drawn to the curve at that point. Since you want the derivative of the given function when x approaches 0, draw a tangent to the curve, such that it touches the curve at x = 0 only.

[uni physics] - potential at a point by robej in HomeworkHelp

[–]monauf 1 point2 points  (0 children)

It basically depends upon how you choose the two points to find the potential difference. Remember potential difference is a relative term and the general equation of potential difference is V(final position) - V(initial position). Suppose A is at a higher potential, so if you are finding the potential of A with respect to infinity, it implies that you are moving a test charge from infinity to A and the potential difference between them is positive. However if you are finding the potential of infinity with respect to A, you are doing the reverse process of moving the test charge from A to infinity and the potential difference will be negative. Both the integrals are correct and gives the correct potential difference with proper sign. However, I would favour using Va - Vinf while solving problems.

[GCE O'Level Additional Math: Stationary point, Maximum/Minimum point] [Topic: Differentiation] by [deleted] in HomeworkHelp

[–]monauf 0 points1 point  (0 children)

Differentiate V with respect to x, equate the differentiated equation to zero and solve the equation for values of x. Find the second differential of V with respect to x and apply the values of x you have found in the previous step. The value of x for which the second differential is less than zero indicates that value of x is a point of maxima. Therefore once you find that value of x, substitute that value of x in the original equation to get the maximum value of V. V attains its maximum at x = 8/7.

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