Sinachi

Two geometric progressions have equal sums to infinity. Their first terms are 27 and 36 respectively. If the common ratio of the first is 3/4, find the common ratio of the other

2 years ago

How many terms are there in the geometric progression 2, 4, 8...,128?

2 years ago

The sum of the first three terms of a geometric series is 37/8. The sum of the first six terms is 3367/512. Find the first term and common ratio

2 years ago

Solve for real X and y X+yi=(1-i)(2+8i)

2 years ago

Find cosπ/12 and 7π/12 using the known values of sine cosine and tan of π/3 and π/4

2 years ago

Write z=1+√3i/2 in modulus arguement form. Hence evaluate z^8-2z^4-1

2 years ago

Express (1+i)^20 in the form a+ib

2 years ago

Find the modulus and argument of this complex numbers 5+i/2+3i

2 years ago

If u1=-1, u2=-5 and ur=a+br, find a, b and u6

2 years ago

The 2nd 3rd and 4th term of an ap are x-2, 5 and x+2 respectively. Find x

2 years ago

Express the series in summation notation where the sums are to n terms. 1*3^2+2*4^2+3*5^2

2 years ago

The 2nd 3rd and 4th term of an aritmetic progression are x-2, 5 and x+2 respectively. Find x

2 years ago

Find Φ given that 2cos^2Φ=3+5cosΦ and 0<Φ<360

2 years ago

A binary operation * is defined on the set of rational numbers by m*n=m^2-n^2/2mn, m, n is not equal to 0. Find -3*2. Is * associative?

2 years ago

Prove that tanx/1+sec x - tan x/1-sec x=2 cosec x

2 years ago

Express the polar form of zw, z/w and 1/z where; z=4√3-4i, w=8i

2 years ago

Express the polar form of zw, z/w and 1/z where; z=4(√3+i), w=-3-3i

2 years ago

Solve the equation 2x^2-x-4+√2x^2-x+8=30

2 years ago

Demonstrate the three axioms of a field that are not satisfied by the set {... -4, -2, 0, 2, 4, 6...} under the usual operations of multiplication and addition

2 years ago

Verify that the set of rational numbers, together with the usual addition and multiplication operations, is a field

2 years ago

If X and yard positive numbers, show that (x+y)(1/x + 1/y)>4

2 years ago

If X and y are positive numbers, show that (x+y)(1/x + 1/y)>4

2 years ago

Find the range of values of X for which a) x-2/x+3 <0 b) x^3 - 2x^2-2>0

2 years ago

Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u

2 years ago

Using (u+2)^3 + 5/u^4 express x^3+5/(x-2)^4 in partial fractions

2 years ago

Resolve x+62/(3x-1)^2(2x+3)

2 years ago

Resolve x+62/(3x-1)^2(2x+3) into partial fractions

2 years ago

Resolve 3x^3-x^2-13x-13/x^2-x-6 into partial fractions

2 years ago

Express 5x^2+7x+8/(x+1)(x^2+2x+3) as a sum of partial fractions

2 years ago

Express 3+5/(x+1)(2x^2+7) as a sum of partial fractions

2 years ago

If α and β are the roots of the equation x^2-px+q=0, form the equation whose roots are α/β^2 and β/α^2

2 years ago

Find the relation between p, q and r if one root of the equation px^2+qx+r=0 is double of the other

2 years ago

Use mathematical induction to justify that if 1+x>0, then for all n € Ñ, (1+x)^n>1+nx

2 years ago

Find the value of X where 2+9√x/2√3-3√3x=√3+2√2

2 years ago

Prove by mathematical induction that the sum of the first n terms of the geometric series 1/5 + 1/5^2 + ... is 1/4(1-1/5^n+1)

2 years ago

Say whether the following is true or false. If true, prove using mathematical induction. If false, give a counter-example. 3^2n-4 is a multiple of 5

2 years ago

Using mathematical induction show that 1^3+2^3+3^3...+n^3=1/4n^2(n+1)^2 for all n € Ñ

2 years ago

Two mathematics books, 5 different physics books and 3 different chemistry books are to be arranged on a shelf. How many arrangements are possible if a) books on the same subject must stand together? b) only the physics books must stand together?

2 years ago

The second, third and fourth terms in the expansion (a+b)^n are 12 60 and 160 respectively. Calculate the values of a, b and n

2 years ago

Write the four terms of the binomial expansion (2-1/x)^5 in ascending powers of X. Hence find (1.9)^5

2 years ago

Find the coefficient of X^6 in the expansion of (1/x^2-x)^18

2 years ago

Find the term independent of y in the expansion (x^4/y^3+y^2/2x)^10

2 years ago

If the coefficients of X^2 and X^3 in the expansion of (3+kx)^9 are equal, find the value of k.

2 years ago

Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u. Use the answer to express x^3 + 5/(x-2)^4 in partial fractions

2 years ago

f(x)=x^2+ax+b. If f(1)=3 and one of the roots of the equation f(x)=0 doubles the other find the values of a and b

2 years ago

Solve the equation x^2-y^2=24, 1/(x+y) + 3/(x-y) = 11/12

2 years ago

Find the value of X where 2 + 9√x/(2√3 -√3x)=√3+2√2

2 years ago

Express (u+2)^3 + 5/u^4 in partial fractions

2 years ago

Solve the equation 2x^2 - X - 4 + √2x^2-√x+√8=30

2 years ago

A function f, defined for all real X, has the following properties I) f(x)>0 for all X, ii)f(x+y)=f(x)f(y) for all X and y and iii) f(x)=f(y) if and only if x=y. Prove that a) f(0)=1, b) f(-x) =1/f(x) for all X c) f(x-y)=f(x)/f(y) for all X and y

2 years ago

If x^2+3(k+3)x-9k/2=0 has equal roots, find the possible values of k

2 years ago

Prove that (a^2+b^2)x^2 + 2 = 0 has no real roots if a is not equal to b

2 years ago

If α and β are the roots of the quadratic equation 3x^2-4x+7=0 find 1/α^2 + 1/β^2

2 years ago

Find the first four terms of the expansion of sqrt(1-3x). Hence evaluate √0.7 correct to 4 d.p

2 years ago

Using geometric progression express 5.666666666 as a fraction

2 years ago

A ball is dropped on the ground. The time interval is between the first and second bounce is 1.2s. The time interval between the second and third bounce is 0.9s. Assume that successive time intervals form a geometric progression with infinite number of te...

2 years ago

Y | t^2 40 | 2.42 35. | 2.59 30 | 2.77 25 | 2.98 20 | 3.17 15 | 3.34 10 | 3.57 Plot a graph t^2 vs y Find the slope s The intercept on t^2 axis,c Derive the relationship between t^2 and y and relate S and c with the physical constants of the set up Explai...

2 years ago

Express(1+i)^20 in the form of a+ib

2 years ago

When cadmium metal reduces cu in solution CD forms in addition to copper metal. If ΔG=-143KJ calculate k at 25 degree celsius

2 years ago

The Zn electrode is chipped in a solution containing znso4 and gives off electrons it is therefore

2 years ago

43.7g of anhydrous CuSO4 were dissolved in water and the solution made up to 2dm^3. What is the minority of the solution

2 years ago

2.54g of sodium chloride were dissolved in water and the solution made up to 100c^m3. What is the concentration of the solution in mol/dm^3

2 years ago

Radio 5 live in the UK broadcast at 909kHz. What wavelength does this correspond to

2 years ago

What is the frequency of red light with a wavelength of 680nm?

2 years ago

What is the energy of a mile of radio wave photons with a frequency of 909kHz?

2 years ago

What is the energy of a mile of a red light photos with a wavelength of 680nm?

2 years ago

Carbon monoxide has ten bonding electrons and four antibonding electrons. Therefore it has a bond order of

2 years ago

What did Arrhenius define acid acid as

2 years ago

How many grams of Ca(OH)2 are contained in 1500ml of 0.0250m Ca(OH)2 solution

2 years ago

What is the minority of the salt produced in the reaction of 200ml of 0.1m Hcl with 100ml of 0.500 m koh

2 years ago

What is the oxidation number for carbon in CaC2O4

2 years ago

How many atoms of al are present in 2.32g of al

2 years ago

Mathematical statement of the first law of thermodynamics

2 years ago

The rate constant of a first order reaction k is 1.00*10^-2 and an initial concentration of 0.5mol/l. At what time will the concentration reduce to 0.05mol/l

2 years ago

What are the values of ΔG and ΔE for a spontaneous reaction

2 years ago

What volume of oxygen gas is produced at step when a 20g sample of HgO(M=216.6g) is strongly heated

2 years ago

What are the units of k if the rate law of a reaction rate is k[x]^0[y]^0

2 years ago

The K of Al is 2.0*10^-31 at 298k. What is ΔG at (298k) for the precipitation of according to the equation Al^3+3OH^-=Al(OH)3

2 years ago

What set of quantum numbers n, 1,m,ms is invalid

2 years ago

A current of 0.15A is passed through an aqueous solution of K2PtCl4. How long will it take to deposit 1g of Pt (M=195.1)

2 years ago

What does the energy of an electron in bohr do as it moves away from the nucleus

2 years ago

When cadmium metal is reduced Cu^2+ in solution Cd^2+ forms in addition to copper metal. If ∆G° =143kJ, Calculate K at 25°C. What is the E^0 cell of a voltaic cell that uses this reaction

2 years ago

What does the conductance of a solution of an electrolyte do when there is rise in temperature

2 years ago

Give the order of stability of carbocations

2 years ago