applications Questions and Answers
What can be said about fof^-1(x) of the function: y = x/4 + 3.
Finding x Determine x if |3x+6|=9.
If log72 48 = a and log6 24 = b prove that a(b+3) - 3b + 1 = 0 If log72 48 = a and log6 24 = b prove that a(b+3) - 3b + 1 = 0
Squared complex numbers. Square (4+3i)^2.
Tangent line equation. Given x = 5cost, y =3sint, what is the equation of the tangent line if t=pi/4.
A type of bacteria has an exponential grow rate at 70% every hour, what is the number of bacteria after 10 hr, 1 day and 3 days.
Solve for x lg(x+1)-lg9=1-lgx
Ecuation and x,y intercepts 5x-15y=120
Equation Provide 2 methods to solve the equation x^2 + 3x – 4 = 0?
Find the value of a: 3 log 4 (a-2) = (9/2)
math Find a if 729^a - 57=0.
Compose 2 functions f and g Compose 2 functions f and g and calculate f(g(c)). Please, give examples.
Determine the perimeter. Determine the perimeter of triangle ABC if AB=6, B=pi/4, C=pi/6.
Circle equation. If given 2 points decide what is the equation of the circle that passing through the points.
geometric sequence. Determine the numbers a, b if 3 ,a ,b , 24 is a geometric sequence.
Geometric Sequence. How to check if a given sum represents the sum of the terms of a geometric sequence?
Compare the methods What is the difference between solving |4x-4| =12 and 4x-4 =12?
complex square root if polynomial is p=x^4-4x^2+16, x=square root 3 -i may be a root?
Determine f(3) if f(3x)+3*f(-3x)=x+1
Construction Construct the quadratic whose roots are 2 and 3.
Solve for real and complex solutions. Integral of 4x^3+6x =10
The even solution of equation dy/dx=12 is the first term of an arithmetical sequence with common difference 4. Find a7 and a11. y=2x^3-3x^2
System solving Solve the system x+y=5 x^2+y^2=13
complex unit construct the quadratic whose roots are 2 + 3i, 2 − 3i.
recognize the multiplicity how can we recognize that a root is of multiplicity k order ?
Equation Find the equation of the tangent to the curve y = x^3 - 7x^2 + 14x - 8 at the point where x=1
Real numbers . Prove that the number (cospi/4+i*sinpi/4)^2008 is real .
show that is a circle show that something is the equation of a circle x² − 4x + y² − 2y = 11
Find x and y x(1+2i)+y(2-i)=4+3i
|2x–3| = 7 Solve the equation.
What is t if t^8=8^2 ?
Solve The Negaive Definite Integral. Solve This When a=3, b=1 and f(x)=(x^2+x)
Give the correct result -2^94/4=2^92+4*2^90 Explain step by step.
determine the shape dimensions what are dimensions of rectangle if it's length is 2 more than width? when area of rectangle is increased by 48, then dimensions are increased by 2.
trigonometry Demonstrate that arcsinx + arccosx = pi/2.
Equation . Solve the equation by completing the square x^2 +2x+5=0 .
math Use implicit differentiation if y= x^2-5xy+3y^2=7
finding a complex number i have no ideea to find a complex number if i know that squared is 3i
math What is the common difference of the sum of n terms of an arithmetic series If s= 5n^2-11n?
Absolute value of z Find the absolute value of z if i(z-1) = -2
Solve the equation 1/1024=4*16^2x?
Powers of imaginary part Powers of imaginary part.
Find the area of trapezoid Find the area of trapezoid given height = 4 cm, b1 = 15 cm, b2 = 20 cm
Trigonometric equation 4tanx-1 = - 3tan(-x)
Systems. Given an example of a problem with a system of dependent equations.
Calculating a sum of functions: f(x)=1-2x ; f(f(1))+..+f(f(5))
Line that passing to to points. Determine the equation using the points (2,3) and (5,8).
quadratic application Prove that (2x-1)^2-(x-3)^2 = (3x-4)(x+2).
exponential equation e^(3x-4) - 1/e^(x-12)=0
What are all real x elements of the set A if they have the property | 3x - 4 | = < 6 ?
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