1. Graph: f(x)=e cubic x 2. Are the following functions inverses of each other? Yes or no a. F(x)=x-1/3 b. G(x)=3x-1 3. Solve for x: ln(7x-1)=6 4. Identify the graph of the function: f(x)=2-4^x 5. Solve for x: in x = 3+in(x-1) 6. The half-life of carbon 14 is 5730 years. F
SOLVE FOR 'X' 9X^2 - 12X - 12 > 0 QUESTION :- SOLVE FOR X 1. 9X^2 -12X -12 >0 SOLUTION: The above given inequality is an quadratic which has two factors 9x^2 -12x-12 > 0 = 9x^2 –18x + 16x –12 > 0 = 9x(x-2) + 6(x-2) > 0 = (x -2) (9x + 6)>0 which implies the product of (x -2) & (9x + 6
1.LIST THE ZERO OF THE CUBIC FUNCTION AND TELL WHICH, IF ANY, ARE DOUBLE OR TRIPLE ZEROS y = x squared (x-1) 2. USE THE RATIONAL ZERO THEOREM TO FIND ALL POSSIBLE RATIONAL ZEROS OF THE POLYNOMIAL: g(x) = -3x cubic -8x squared +x+ 14 3.USE SYNTHETIC DIVISION TO FIND UPPER AND LOWER BOUNDS OF THE REAL ZEROS OF f. f(x) =
1. SOLVE (X-2)(9X+6)>0 2. SOLVE THE INEQUALITY X+43/X+3<6 3. SOLVE: SQUARED ROOT X+36-6=-X 4. 15X-SECOND POWER+2X-FIRST POWER+1=0 ANSWER: A.X=5,X=-3 B.X=5,X=1/3 C.X=-1/5,X=-1/3 D.NO SOLUTION
1. Which set of ordered pairs(x,y) represents y as a function of x? Answer A. (2,-8),(1,6),(1,2),(6,1) B. 2,-8,1,6 C. (2,-8),(-8,2),(6,6) D.(2,-8),(-8,1),(2,6) 2. Evaluate the function at the specified value of the independent variable and simplify f(x)=3x squared-square root2x Answers a. 22.757 b. 24.551
1. Given f(x)=16-x squared,and g(x)=4-x, find f/g (x). 2. Find the maximum or minimum value of the quadratic function f(x)-x squared+10x-19. State whether this value is a maximum or minimum. 3. Evaluate the function at at specified value of the independent variable and simplify. F(x)=/x/-2; f(4) 4. Given f(x)=2/x-6
In the expression for the period of a simple pendulum, we do not take into account the mass that is hanging from the string. How is it possible that the mass does not affect the period of the pendulum? It was stated that the displacement that started the pendulum was small. What would happen if we started the pendulum with an ex
What is the nominal interest rate (i) in Canada if the real estate of return is 2.5% and the expected rate was 4.5%. (The Fisher Effect formula should be used in this problem).
Please see the attached file for the fully formatted problems. Includes the following Exercises: -Quadratic Functions and Their Graphs -Quadratic and Rational Inequalities; Equations, Functions and Inequalities -Quadratic Equations, Functions, and Inequalities Maximum height. If a baseball is projected upward from groun
Two identical water tanks labeled A and B are resting at the same elevation and are linked via a pipe with a valve. The cross sectional area of each of the tanks is 1m^2. The valve demonstrates linear behavior (volumetric flow is linear with pressure drop) and will allow a flow of 0.5 m^3/min under a pressure drop equivalent to
1 When we square a product, we square each factor in the product. For example (4b)2= 16b2. Explain why we cannot square a sum by simply squaring each term of the sum. For example, (a + b)2 is not equal to a2 + b2. Provide appropriate examples. 2 Take a number. Add 1. Square the result. Then subtract from that result
Factor out the GCF in each expression. 59. 2x^3-6x^2+8x 60. 6x^3+18x^2-24x *61. 12x^4t+30x^3t-24x^2t^2 *62. 15x^2y^2-9xy^2+6x^2y Factor each polynomial completely. 60. 32x^2y-2y^3 61. 3ab^2-18ab+27a Use grouping to factor each polynomial completely. 66. 3x+3z+ax+az 67. x^3+x^2-4x-4
#20. Let X be a nonnegative random variable. Prove that... (see attachment)
A. Convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3". a) 16 3/2 = 64 b) ex = 5 B. Write the logarithmic equation in exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25". a) log 3 27 = 3 b) log e 1 = 0 c) log 125 25 = 2/3 C. Us
1. Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs with your classmates. 2. Given the values 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, x, and y, form each of the follow
Write the mathematical definition for a logarithm, i.e. for log (to base b) x.
Change each equation to its exponential forms. Log 10 = 1
Change equation to its exponential form. In 1 = 0 Can you help me with this, I can't seem to find the right solution?
Suppose that p(z) and q(z) are polynomials with a complex coefficient with the property that deg q(z) is greater than or equal to deg p(z)+2. If C is a positively oriented simple closed contour containing all of the roots of q(z) on its interior, then prove that Integral C of p(z)/q(z) dz = 0
An upward force of 47 N is sufficient to lift a window. What force must be exerted along a pole that makes an angle of 27 degrees with the wall in order to give the necessary upward lift?
1) A team of surveyors mark off distances represented by vectors of (85m, 55 degrees), (43m, 0 degrees) and (37m, 345 degrees). Solve for the resultant displacement. 2) Find the resultant force. (463 N, 137 degrees), (258 N, 268 degrees) and (379 N, 128 degrees)
A. Convert to logarithmic equations. For example, the logarithmic form of "23 = 8" is "log2 8 = 3". a) 16 3/2 = 64 b) ex = 5 B. Write the logarithmic equation in exponential form. For example, the exponential form of "log5 25 = 2" is "52 = 25". a) log 3 27 = 3 b) log e 1 = 0 c) log 125 25 = 2/3 C. Use the
See attached file for full problem description. Please provide proof along with explanation. For integers n>= 1 and for all real numbers x>=-1, use mathematical induction to prove that 1 + nx =< (1 + x)^n.
Heres my problem. Consider the group <R,+> (reals under addition) and its normal subgroups Z (integers) and Q (rationals0. (These are normal because R is abelian, of course.) (i) Find an element of Q/Z of order 350. (ii) Show that Q/Z is the torsion subgroup of R/Z. This problem is quite straightforward if you use the defini
What is the actual values for each one? 1. f(x) = e^x 2. f(x) = log x.
In a polynomial space of degree {see attachment} is (p,q)=p(0)q(0)+Ap(1/2)q(1/2)+Bp(1)q(1) for A,B>0. Define the linear product.
Let A be an nxn symmetric matrix such that det {see attachment}. We know from the matrix algebra that the associated quadratic form {see attachment}, where x = (x1,...xn), is either positive-definite, negative- definite or indefinite. Now assume the diagonal entries of A are all zero. Explain why q(x) is indefinite. (Hint:
1. Find the slope and intercept for the line 2y-x-4=0 2. Find the slope and intercept for the line 6/9y+2/3x-5=0 3. For the line y= 3x-3 find a line parallel to it that passes through the point (-1,0) 4. For the line y= 2x+2 find a line parallel to it that passes through the points (2,0) (4,4) 5. For the set of p
Please see the attached file for the fully formatted problem. 2. (30 points) A thin, one-dimensional rod of heat-conducting material with length L = pi is internally and uniformly heated at a rate of alpha degrees per unit time. This means that the temperature of the rod, u(x, t), satisfies the inhomogeneous heat equation ..
1. Solve the following absolute value inequality and graph the solution set. 2| 5 - 2x| - 15 5