Basic Math question and answers for April 03, 2024
- Q Match the exponential function with its graph f x 2 x O 4 y 10 8 6 4 2 Need Help 1 2 2 2 Read It y 10 8...
- Q 4 Let K be a field and a K Prove that K x x a K
- Q 5 points Find 2 f 3 f 4 if f is defined recursively by f 0 1 f 1 1 2 3 we have f n 1 f n 2...
- Q 0 2 Represent the function f x x0 as a power series Find the following coefficients co 1 5 C C1 C2 C3 cn x 4 n n 0
- Q Josh has 12 coins in his pocket He has four times as many dimes as quarters The total value of his money is 1 00 How many quarters dimes and...
- Q ve the following linear recurrence for the kth term In particular determine the value 40 ak 2 0 6ak 1 1ak 1 where do 1 9 and a 0
- Q How fast in miles per hour must a car travel to go 800 miles in 16 hours mph
- Q Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x, y) point.y = -2x - 28x - 108
- Q Write the compound statement in symbolic form. Let letters assigned to the simple statements represent English sentences that are not negated. If commas do not appear in compound English statements,...
- Q The second order ordinary differential equationdy/dt + 3dy/dt + 4Y=sin(t)is defined over the domain 0 ? ? 6, and is to be solved numerically subject to the initial conditions (0)...
- Q Determine the domain D and range R of the following relation from its graph, and tell whether the relation is a function.The domain isThe range is
- Q Consider the curve (in the plane) formed by: the line segment from (2, 0) to (5,0), the part of the circle of radius 5 (about the origin) from (5,0) to...
- Q The only New Zealander to appear on the country's banknotes while still alive were famed mountaineer SirEdmund Hillary,werewasbeinghad been
- Q Find the product. Leave the result in trigonometric form. (Let 0 ? ? < 360.)[9/7(cos(135) + i sin(135))][1/7(cos(60) + i sin(60))]
- Q Wrote her essay by hand instead of on the computer, Ingrid was able to concentrate without the distraction of constant Internet access.WroteWriteWrittenWriting
- Q Uma. __ originally from India, wore a sari to the party.iswho issheshe is
- Q What are the domain and range of this linear function?f(x)=-3x+2Domain: x ?0 Range: -?<y<?Domain: x?0; Range: y?2Domain: 0<x<? Range: -?<y<?Domain:-?<x<?0; Range: V=2
- Q For f(x) = x/x+1 and g(x)= 4/x, finda. (fog)(x)b. the domain of foga. (fog)(x) =Simplify your answer.)What is the domain of f o g?A. (-?, -4)U(-4,0)U(0,?)B. (-?,0)U(0,4)U(4,?)C. (-?, -1)U(-1,0)U(0,?)D. (-?,?)
- Q Given the functions f(x) = 1/x^2+3x with the domain {x|x ?-3 and x ? 0} and g(x) =1/?xwith the domain {x|x >0}, what is the domain of (gof)(x)?a) {x|x >...
- Q The diagram of a rectangular prism with a square base is given below. Assume that the surface area of the prism is fixed at 96 m. Find the width and...
- Q Let f(x)= 10x + 6. Find f(1/2)
- Q For f(x)=?x and g(x) = 4x+1, find the following composite functions and state the domain of each.(a) fog(b) gof(c) fof(d) gog(a) (fog)(x) = (Simplify your answer.)Select the correct choice below...
- Q Solve the following system of equations.4a - 40b = - 188a + 36c = 2080b + 24c = 54Select the correct choice below and, if necessary, fill in the answer...
- Q The function f(x) =?x?-7 is one-to-one.(a) Find the inverse of f and check the answer.(b) Find the domain and the range of f and f^-1
- Q The function f(x) = 9x is one-to-one.(a) Find the inverse of f and check the answer.(b) Find the domain and the range of f and f^(-1).(c) Graph f, f^(-1), and...
- Q Given the polynomial function f(x)=(x-1)(x+2), find:a). End behavior.x ??, f(x) ?__________x ?-?, f(x)?__________b). Zeros.__________c). Degree and maximum number of turning points.Degree:___________Max # Turning Points:__________d). Local Extrema.Local Max(s):________Local Min(s):_________e). Graph the...
- Q What is the domain of f(x) =x-5/x + 6x-16?Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.(A). The domain is {x|x?____?x?______}(B). The...
- Q Consider the functions f(x) = 2x ? 8 and g(x) =x/2 +4.(a) Find f(g(x)).(b) Find g(f(x)).(c) Determine whether the functions f and g are inverses of each other.(a) What is...
- Q For f(x) =x-4/x+7 and g(x)=x+5/x-8 find the following composite functions and state the domain of each.a). fogb(. g ofc). fofd). gog
- Q Given f(x) = 9/x+7 and g(x)= ?x find the following expressions.(a) (fog)(4) (b) (gof)(2) (c) (fof)(1) (d) (gog)(0)
- Q The function f(x) =(x-9)/3x, x>0, is one-to-one.(a) Find its inverse and check your answer. (b) Find the domain and the range of f and f^(-1).(a) f^(-1)(x) =____________ (Simplify your answer.)
- Q Graph the rational function as a translation of f(x)=1/x. Identify the vertical and horizontal asymptotes and state the domain and rangef(x)=4/(x-4)Find the vertical asymptote(s). Select the correct choice below and,...
- Q Given the functions (x)=(x?2) and g(x)=?x+2, show that and g are inverses of each other by showing that f(g(x))=x and g(f(x))=x.
- Q Differentiate the following function and factor fully.f(x) = (x + 4)(x - 3)?a) 3(x+5)(x+4)(x-3)?b) 3(3x+5)(x+4)(x-3)?c) (9x+15)(x+4)(x-3)d) 6(x+5)(x+4)(x-3)?
- Q The line has an equation of y=2x intersects the curvey = 8x, Determine the centroid of the area from the y-axis.A. 7/9B. 1/3C. 2/7D. 4/5
- Q Determine whether the equation could represent exponential growth or decay.y=e^xgrowthdecayneither
- Q State the poles of the rational function below4s +9/2s - 18
- Q Let x = ln(1+t), y = tan-t be the parametric representation of a plane curve.1. What are the possible values of x and y2. Find a Cartesian representation of the...
- Q Read the statement or passage and then choose the best answer to the question. Answer the question on the basis of what is stated or implied in the statement or...
- Q The scientists who discovered the skeleton of "Ardi"-short for Ardipithecus ramidus-think she may represent a breakthrough in the study of human origins. The fossils show that Ardi walked upright, and...
- Q Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.perpendicular to 5y = x - 4 and passes through the point (-2,...
- Q In an automated production process a hydraulic ram moves a 180 kg crate with a force, F = 700 - 150s Newtons, where s = distance in meters. Determine the...
- Q The table below shows some input-output pairs for an exponential function g.X 1 2 3 ...
- Q An exponential function f(z) = a - b passes through the points (0,9) and (2, 144). What are the values of a and b?a= __and b=__
- Q Given that f(x)=x- 9 and g(x) = 8x + 1, find (fg)(-1/8) if it exists.Select the correct choice below and, if necessary, fill in the answer box to complete your...
- Q Given the functionf(x)= 7x+1 , x < 0 7x+ 2 ,x ? 0Calculate the following values:( ? 1) =f(0) =f(2)=
- Q Let f(x,y)=x - 4xy-y. Compute f(3,0) and f(3,-7).f(3,0)= (Simplify your answer.)f(3,-7)= (Simplify your answer.)
- Q Graph the following function.y = sin (x +?/2)
- Q If the tangent and binormal at a point of the curve make angles ? and ? respectively with a fixed direction, prove thatsin ? d?/ sin? d?=-k/t
- Q Name the corresponding sides and the corresponding angies of the following pair of similar triangles.
- Q Write a rational function that goes through the dasheson the graph.When you finish, press 'Graph and submit response.Graph and submit response
- Q -matrix A. Determine if A is diagonal, symmetric, skew-symmetric, or none of these.Let A be a 3 x 3 matrix such that the ij-entry aij of A is given by...
- Q Evaluate f(-3) in the piecewise function below. x - 2 for x?-3f(x)= 8 for-3<x?5 ...
- Q If the length of a rectangle is increased by 6 inches, the area becomes 135 square inches. Determine the original length of the rectangle.
- Q Which function has an period four times the length of f(x) = -4(cos8x) + 2?a. f(x) = -4(cos32x) + 5?b. f(x) = -16(cos1/2x) + 2?c. f(x) = -4(cos8x) + 8?d....
- Q A circle passes trough A(7,8), B(3,10) and C(0,9). (Hint: include a diagram)a) Determine the center of the Circleb) Write the equation of the circle
- Q Find the equation of the tangent to the function f:R ? R where f(x) = x^2 + 5x on the point (-1,-4).
- Q Find the equation in standard form of the ellipse, given the information provided.Center (-4, 2), vertices (-10, 2) and (2, 2), foci at (-7, 2) and (-1,2)
- Q A person invested $4,300 in an account growing at a rate allowing the money todouble every 12 years. Write a function showing the amount of money in the account after...
- Q Use the piecewise function below to evaluate for each x, which is the number inside the parentheses.f(x) = { 7x 2 for x ? -7{|3x| for 5 < x ?...
- Q A particular leaf is comprised of 80 thousand cells. As the leaf grows, the number of cells grows at a daily rate of 6.5%.(a) Find a function f(x) = Ae^kx...
- Q Which polynomial must be added to x^3+2x+15 so that the sum is5x^3+6x+6?A. 6x^3+8X+21B. 5x^3+4x+21C. 5x^3+4x-9D. 4x^3+4x-9E. 4x^3+8X-9
- Q Which value, to the nearest tenth, is the smallest solution of f (x) = g(x) if f (x) = 3 sin(1/2 x) - 1 and g (x) = x3- 2x...
- Q Consider the quadratic equationy= -4x^2 - 48x + 6.Complete the square to express the quadratic in standard form y = a(x h)^2 + k.a=h=k=
- Q Solve the equation x^2 - 2x -8 =0 by completing the square.Solutions (separate by commas): x=
- Q Solve the equation 9x^2 + 36x + 27 = 0 by completing the square.The solutions are x1= _______________ and x2 = ________________with x1 ? x2.
- Q Find domain, range, roots/zeros/solutions, intercepts, maximum, minimum, increasing/decreasing intervals of a quadratic function and use to graph and solve application problems1. Use the function f(x)= 2x2 + 20x +48 to...
- Q What is the most a store can pay for a tie for a line of ties that sell for $20 if the markup must be 32% of the selling price?
- Q A TV set was originally priced at $2000. Last week, it went on a 4% off sale. (That means that the price of the TV set was reduced by 4%).What...
- Q Raise the complex number to a power as indicated, and give your answer in standard a +bi form. [2(cos 5 + i sin 5)}^6A ship at point A...
- Q Given g(x) = -4sin( x/2 )(a) Determine the amplitude.(b) Find the period.(c) Write the equation of the midline.(d) Identify 5 key points for one period. xg(x)
- Q Find the period of y=-2 sin (4x + ?/2)A) ?B) 4C) ?/2D) 2
- Q Find two linearly independent solutions of 2xy" - xy + (5x + 1)y = 0, x > 0 of the formy? = x(1+ a?x + a?x + a3x + ...)y?...
- Q Graph the ellipse. Be sure to label the center, vertices and foci. (x /16)+(y + 3)/4=1
- Q Find the Laplace transform, Y(s), of the function y(t)=1-3t-5cos(5t)Find the inverse Laplace transform, y(t), of the function. Y(s) =24/(s+5) + 7/(s+49)
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