Solve for x in the following logarithmic equation. Please show a detailed step by step solution. logx - log2 = 5
Given that S=(R+D)^(1/3) and T=(R-D)^(1/3) where D= square root(R^2+Q^3), show that ST=-Q
Hi, can someone please explain to me how sqrt (square root of)128 becomes 8sqrt2 ; or sqrt68 becomes 2sqrt17? ; or sqrt45 becomes 3sqrt5? Thank you
Simplify the following expressions: a. 3x-2/2x2+x-3 Divide by 9x-6/2x-2 b.(108)1/2- (48)1/2+ (192)1/2 (should be exponent 1/2) c. (20x3+3x2-4x+5)/(4x2+3x-7) (should be exponent 3 and 2,2).
Factor the following: a. 81a4- 16b4 (should be exponent 4) b. 12x2+ x- 35 (should be exponent 2)
3 years ago, Liz's age was 1/3 of her mother's age. Now, 7 years later, her age will be 1/2 of her mother's age. How old are Liz and her mother?
Please see the attached file for full problem description. I would like to get some assistance in setting up this problem. A=1.645 and they give the answer of x as .56506 Thank You
Logarithms Exponents Rules of Logarithms Rules of Exponents Arithmetic Progression Geometric Progression
Logarithms and exponents. See attached file for full problem description.
For the given functions f and g, find: (a) the composition of (f o g) (4) (b) (g o f) (2) (c)( f o f) (1) (d) (g o g) (0) f(x) = 2x; g(x) = 3xsquared + 1
For the given functions f and g, find the following functions and state the domain of each. (a) f + g (b)f - g (c)f x g (d) f / g f(x)= square root of x + 1; g(x) = 2 / x
Sketch the graph of each function. Be sure to label three points on the graph. If f(x) = integral (2x), find: (a) f(1.2) (b) f(1.6) (c) f(-1.8)
Please help me with #4, #10, and #16. I am having trouble woth these. Please show your work so that I may better understand the process.
Solve: x3 - 2x2+x=-5(x-1)2.
Let m be the smallest positive integer such that @^m=E for all @eS_n. Show that m=lcm(2,3,4,5,...,n). note: e denotes element of
Assume that the sum and product of two roots of a quadratic equation are 5 and 6, respectively. Find two roots.
I am asked to verify Fubini's Theorem for an integral evaluated over an equilateral triangle. I am asked to fully discuss the reasons for the limits of integration in my solution. See attached file for full problem description.
Test the following for divisibility by 2,3,4,5,6,8,9,and 10. (No calculator, explain your thinking). i. 6 543 210 b. What is the smallest whole number that is divisible by 2,3,4,5,6,8,9 and 10.
Simplify each of the following expressions further and identify the number property(ies) used in each. 1. 2 x (15+8)= (2 x 15)+ (2 x 8)= 2. 5/2 x (3/4 x 2/5)= (5/2 x 2/5)x 3/4=
Please see the attached file for the fully formatted problems. Find the following: a) The coefficient of x in the expansion of b) The coeffiecient of in the expansion of c) The coefficient of in the expansion of d) The coefficient of in the expansion of is equal to the coefficient of in the
Three numbers are in arithmetic progression. The sum of the three numbers is 30 and the sum of their squares is 398. What are the three numbers? b) An arithmetic series is such that its first term is a and its third term is b. The sum of the first n terms is Sn . Find S4 in terms of a and b. Given that S4, S5 , S7 are con
Prove by induction where n is a positive integer. (The questions are attached).
Solve this equation: 3x²- 5x -1 = 0
Find a new dependent variable such that the equation becomes linear in that variable. Then solve the equation: 1/(y^2 + 1) y' + 2/x tan^-1 y =2/x
First determine if the equation is exact. If it is exact, find the general solution, or at least a relation that defines the solutions implicitly: [cos(x^2 + y) - 3xy^2]y' + 2x cos(x^2 + y) - y^3=0
Solve for either the general solution or relation. xy' - y = x(1 + e^(-y/x))
If the perimeter of a rectangle is 10 inches, and one side is one inch longer than the other, how long are the sides? Can you show me the steps to take to work out this and similar problems.
Diagonals in a Rectangle. In the case of a 2 X 2 rectangle, or a 3 X 5 rectangle, we can simply count. However, can we make a decision about a 100 X 167 or a 3600 X 288 rectangle? In general, given an N X K rectangle, how many grid squares are crossed by its diagonal?
Find the equation of a line L which passes through the point (1,4) and is perpendicular to the line: 6x + 3y=12.
The endpoints of the diameter of a circle are P=(-3,2) and Q=(5,-6) Find: (i) the center of the circle (ii) The radius of the circle (iii) the equation of the circle.