___ __ _ ___ 5√18 - √12 + 3√2 - 5√75 ___ ___ √27 - √3
12. Simplify: 10 t^6 3 ---- - --- -:- ---- t^2 2 t^5 13. Add: 4 7 ---- + ---- X x^2 14. Sandra can paint a kitchen in 5 hours and James can paint the same kitchen in 6 hours. How long would it take them working toget
Rearranging Expressions and Residues (Find the two singular points and the residue for each : exp(tz)/(z2 + 2z +17) (t>0))
Find the two singular points and the residue for each : exp(tz)/(z2 + 2z +17) (t>0) Rearranging equations (1st attachment)
A football player attempts a field goal by kicking the football. The ball follows the path modelled by the equation h=-4.9t2(means t squared)+10t+3, where h is the height of the ball above the ground in metres, and t is the time sincethe ball was kicked in seconds. 1. Describe the path of the ball. 2. After how many sec
Proving an Inequality : Let an, n>= 1 be an increasing sequence of positive real numbers. Prove that 1/a1 + 2/(a1 + a2) + .... + n/(a1 +... + an) < 4(1/a1 + 1/a2 + ... + 1/an)
Let an, n>= 1 be an increasing sequence of positive real numbers. Prove that 1/a1 + 2/(a1 + a2) + .... + n/(a1 +... + an) < 4(1/a1 + 1/a2 + ... + 1/an) Can anything be said about the constant 4? ---
When measuring a line with a ruler. When the question asks you to round to the nearest 1/2 inch, how do you determine if it is the nearest whole number or the nearest 1/2 number? Is the answer always a whole number?
Properties of addition and mutiplication puzzle : ...The remaining digits should be your telephone number.
Follow the steps to see if the puzzle works. § Start with 60 and divide by 2. § Add your telephone number. § Subtract 25. § Multiply by 3. § Subtract 15. § Multiply by 2 § Divide by 6. The remaining digits should be your telephone number. Why does this work? What properties of addition & multiplication
Let p and a be positive integers and suppose that p|a2. a) Show that p|(ra + sp)2 for all integers r; s. b) Use part a), the definition of prime integer, and Theorem 15.1.1 to construct a proof by induction that p|a. [Hint: If a (< or =) p consider p = qa + r, where 0 (< or =) r < a. If p < a consider a = qp + r, where 0 (<
4(3w+4)greater than or equal to 4(2w+12), it says to put answers in interval notation, that goes along with this one: 4-(3/2x-3)>1/2(x+5) I am not sure how to sove either one of these, they are somewhat the same except the second question asks for the answer in set builder notation.
2X+4Y is greater than or equal to 8? The question is choose the ordered pair, which is the solution of the inequality.
Given the system of inequalities. Find the coordinates of the vertices. 6y-x is less than or equal to 8 -y+3x is less than or equal to 6 x is less than or equal to 0
The absolute value of 1/2n+2 is equal to the absolute value of 3/4n-2. How do I solve when there are fractions involved?
Show that the change of variables.... Reduces 21.1 to the simpler and more familiar form from Ch. 18 Greenberg text, change of variables Please see the attached file for the fully formatted problems.
1. Very rarely do people use algebra in their jobs or their lives. At most, people use arithmetic. If this is the case then why do you suppose it is that we study algebra in the first place?
Galois Theory : Use the method found in the proof below to find a primitive element for the extension Q(i, 5^(1/4)) over Q.
Use the method found in the proof below to find a primitive element for the extension Q(i, 5^(1/4)) over Q. *Recall that the extension field F of K is called a simple extension if there exists an element In this case, u is called a primitive element. **Theorem: Let F be a finite extension of the field K. If F is separabl
Domain of the inverse of a logarithmic equation : Let f(x) = 3 - 7e^(x+5). The domain of f^-1(x) is:_____
Let f(x) = 3 - 7e^(x+5). The domain of f^-1(x) is: _______
7 log6 9(log2 80 - log2 5) Please see the attached file for the fully formatted problem.
Find the number of solutions of the equation x+y=xe^y+ye^x
A particular brand of shirt comes in 12 colors, has a male version and a female version, and comes in three sizes for each sex. How many different types of this shirt are made?
Solve each equation and check for extraneous solution. # 41. ----------------- / 2x^2 - 1 = x # 42. ------------------------ / 2x^2 - 3x - 10 = x Solve the equation # 85 ----------------------- / x^2 + 5x = 6 # 91 ----------------------- /
2. Write the following as rational numbers: a) 0.731; (31 barred) b) 12.8697 (8697 barred) Please see the attached file for the fully formatted problems.
Page 313 Solve each equation. # 8 ( a + 6 )( a + 5 ) = 0 # 9 ( 2x + 5 )9 3x - 4 ) = 0 # 12. t^2 + 6t - 27 = 0 # 48 - 2x^2 - 2x + 24 = 0 # 49 11 Z^2 + ---z = -6 2 # 52 3x (2x + 1 ) = 18 Page 364 Solve each equation. Watch for ext
Let be fields, and algebraic over F. show that if and only if for some . ---
Modern Algebra Group Theory (XVI) Abelian Group If the group G has four elements, show it must be abelian.
Splitting Fields : Let F be an extension field of K of degree 2, then F is the splitting field over K for some polynomial.
Let F be an extension field of K of degree 2, then F is the splitting field over K for some polynomial.
There are four integers between 100 and 1000 that equal to there cube added together 153......1+125+27=153 370......27+343+0=370 407......64+0+343=407 What is the fourth?
I do not fully understand how to complete a system of equations that includes logarithms. This was the sample problem given.
Find the region bounded by the graph of the equation. Estimate the area to confirm answer. Show a slice. Calculate the area of the region. y = square root of x-10 and y=0 between x=0 and x=9 y = square root of x and y= x-4 and x = 0
(See attached file for full problem description with equations) --- I need some guidance on a Matlab programming project. The project concerns Hermite polynomial interpolation. We are given values and and their derivatives and at and respectively, and we look for coefficients such that if
(See attached file for full problem description with equations) --- Pg.283 Factor the GCF in each expression 59. 60. Pg. 306 Factor each polynomial completely, if polynomial is prime, say so 35. 40. Pg 338 Perform indicated operation 22.