Sinachi

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

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

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

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

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

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

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

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

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

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

2 years ago

Which one of these equation is balanced by charge Sn^2+=Sn^4- + 2e Sn^4+=Sn^2+ Sn^4+2e=Sn^4+

2 years ago

Find the domain of f(x)=1/x^2

2 years ago

What is the band theory

2 years ago

Determine the slope of the graph 3(x^2+y^2)^2=100xy at the points (3,1)

2 years ago

Determine the first second and third derivatives of sin2x^2

2 years ago

By first principle find the derivative of y=√t at the point (1,1). Discuss the behaviour of the function at point (0,0)

2 years ago

Determine the equation of the tangent and normal to the graph x(xy+y^3)-24=0 at the point (1,2)

2 years ago

Find the area of region between the graph of y=x^2+4x+3 and y=x^2 between the intervals x=1 and x=3

2 years ago

Using the chain rule, find the first derivative of y=tan^2(3x)

2 years ago

Find dy/dx if y=cost, x=sint

2 years ago

If f(t)=3^t, show that f(t+3)+f(t-1)=26f(t)

2 years ago

Verify that lim 3x-5/4x^2+9=1/25

2 years ago

A man 1.6m tall walks away from a street light a speed of 1.5m per second. If the light is 5m above the pavement. How fast is the length of his shadow changing at any time

2 years ago

Political economy involves any government policy that has an economic impact. Discuss this

2 years ago

Fill the bracket with le, la, Les or un une des Qu'est-ce que tu achetes? J'achete () bonbons. The aimes () bonbons? Oui j'adore ca! Chima ecrit () lettre a funmi. () Frere de funmi Aime () foot et guitaire. Il joue au foot dans () club a aba Chidi Va a (...

2 years ago

What are the laws of parsimony

2 years ago

Give the order of stability of carbocations

2 years ago