Basic Math question and answers for November 04, 2024
- Q The equation of a conic section is given in a familiar form. Identify the type of graph that the equation has, without actually graphing.x-3y-5y = 0Choose the correct classification below.HyperbolaParabolaEllipseCircle
- Q A biologist observes a population of birds over a 10 yearperiod. At the beginning of the period, there were 223thousand birds. By the end of the period, there were 182thousand...
- Q Consider the following relation.-5x-3y = 2x + 2yStep 3 of 3: Determine the implied domain of the function found in the first step. Express your answer in interval notation.Answer
- Q What is the range of the secant function?A) all real numbers greater than or equal to 1 or less than or equal to -1B) all real numbers, except odd multiples...
- Q Determine whether the given relation defines y as a function of x.x + y = 100Is y a function of x?NoYes
- Q What would f(x) be if x = 6f(x)=? ? 6?1332315552174312345
- Q The slope of a line that is parallel to 4x-y=8 ism = ________The equation of the line (in slope-intercept form) parallel to 4x-y=8 that passes through the point (0, 2)...
- Q Find the first-order Fourier approximation to f(t)=t+5. That is, find the the best approximation to f(t) by functions in Span{1,cos(t),sin(t)}
- Q Let f be the one-to-one function given below. f(x)=(5x-4)/(6x-3)(a) Find the inverse function of f (i.e., f-(x).)f-(x) = _____(b) Compute f-(-1).f-(-1)=_____
- Q The exponential function f(x)=ab^x contains the points (0, - 4) and (-2, -4/25). Write the conditions as exponential equations involving the variables a and b.The point (0, -4) gives the...
- Q The function g(2) is shown in the table below. x g(x)-2 -11-1 -8 0 -5 1 -2 2 ...
- Q Let f(x) = x+2/x-4 and and g(x) = 10x-22/x-5x+4Simplify f(x) - g(x): ____________The values of x that need to be excluded from the domain of the difference function are x...
- Q The function h(x)= (x+2) can be expressed in the form f(g(x)), where f(x)= x, and g(x) is defined below:g(x)=____
- Q Refer to the functions r, p, and q. Find the functionr(x) = 5xPart: 0/2Part 1 of 2Part: 1 / 2Part 2 of 2p(x)=x + 8xThe domain of5x2-x5X () (x)(x) in...
- Q For each of the following, find the formula for an exponential function that passes through the two points given.a. (0,8) and (3, 216)f(x) =b. (0,6860) and (3,20)g(x) =
- Q Let f(x) = 5x-3x and g(x)=x-x+3. Find (f+g)(x), (f-g)(x), (fg)(x), and A(f+g)(x) = 6x - 4x +3 (Simplify your answer.)(f-g)(x) = (Simplify your answer.)(x). Give the domain of each.
- Q f(x) = 4x-x-5What is the value using the theorem for f(5)?
- Q Use the intercepts to graph the equation.x = -1x-intercept: Enter as a coordinate: such as (a, b). If there is no x- intercept, enter DNE.y-intercept:intercept, enter DNE Enter as a...
- Q The graph of the cosine function has been vertically compressed by a factor of reflected in the y-axis, has a period of 720, has been shifted left 60, and has...
- Q Simplify the expression y + 4y / y-16 and give your answer in the form of f(y) / g(y) Your answer for the function f(y) is : Your answer for...
- Q At 12:00 P.M. the volume of water in a tank started changing steadily over time. The volume V measured in gallons, ? minutes after the water volume started to change...
- Q Given two functions f(x) = ?1 - x) / 2 and g(x) = ?1 + x) / 2If x = 2?2)/ 3, findf(x) =g(x) =f(x) / g(x) =
- Q Compute the first-order central difference approximation of O(h^4) at x=0.5 using a step size of h=0.25 for the following functionf(x) =(a +b +c)x^3 + (b +c +d)x (a +c +d)Compare...
- Q Given 2 exponential functions, discuss all their features (Domain, range, increasing/decreasing, the equation of the asymptote, the x- and y-intercepts, their steepness) and highlight all the similarities and differences between...
- Q Given the function y = 4(3)?(? ? ) 7, choose all the transformations of this function to the parent function of y= 3? .a. Reflected across the y-axis, a...
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