Algebra question and answers for August 10, 2023
- Q Supply p 9 8 Demand p 65 12q 2q a Sketch the first quadrant portions of those functions on the same set of axes Label the market equilibrium point E...
- Q Solve the equation logs 3x 1 16 18 x
- Q Dints Given functions f x and g x find the composition functions x 4 a fog x and its domain b gof x and its domain
- Q b through 4 3 and perpendicular to 3x 4y 24 i Standard form
- Q Write an equation i in standard form and ii in slope intercept form for each line described below ac Show work leading to the answer to receive full credit a...
- Q Use the distance formula and Pythagorean Theorem to determine whether the three points S T P are the vertices of a right triangle S 7 4 T 6 2 P...
- Q Consider the following equation f x x 2x 2 a Find the vertex of the graph of the equation x y b Determine whether the vertex is a maximum or...
- Q W Solve the equation by using the quadratic formula Enter your answers as a comma separated list If there is no real solution enter NO REAL SOLUTI 7w w 1...
- Q Find the vertex f x 5 x 1 12 Enter
- Q f x 5x 5x 1 f 4 Be sure to simplify your answer Enter
- Q Find the general solution of the equation y 2y 4y 8x 2 3x 1 2sinx 4cosx 6e 2x using the method of uncertain coefficients
- Q Q5 Use LU decomposition method to find the unknowns in the given system of equations 2x 3y z 5 3x 2y z 10 habtx 5y 3z 0
- Q The shaded region below is enclosed by the graphs of f x ex and g x x e 0 1 Region Between Two Curves Find the area of the shaded...
- Q A matrix is given 54 Evaluate the eigenvalues and eigenvectors for given matrix 1940 a Eigenvalues 1 and 3 1 1 Eigenvectors b Eigenvalues 1 and 3 1 Eigenvectors c...
- Q Consider the linear system X 2x 3x3 2x x 3x3 x x x3 10 0 01 A 0 10 0 L001 1 Write the linear system as augmented matrix Which...
- Q 35 m 4 8 m Front edge of green Distance to the edge of the green 35 m Pin height 2 m above fairway 9 m 2 m Pin placement...
- Q Change from degrees to radians 210 7
- Q 10 Apply the singular value decomposition to show that A Rmxn with rank r can be written a A BC where Be Rmx CE Rx and both B and C...
- Q If 900 are deposited into an account with 5 5 interest rate compounded quarterly what is the balance after 20 years F Round to the nearest cent Enter
- Q 1 a Use the coefficient matrix to classify the stability of the origin the only equilibrium point for the following linear system x x y y 3x 4y
- Q Let v 3 1 8 5 3 and p 4 Determine if p is in Col A where A V V V3 Is p in Col A OA Yes because...
- Q 8 You re a tactical officer on a space ship The ship s computers detect an unidentified space vessel in the shape of a cube and you need to get...
- Q 3 Since birth Hachiro has had a savings account that has been growing at a rate of 4 per year The amount of money in the account can be modeled...
- Q 4 Evaluate the expression if t 7 and u t u answer x
- Q 7 A newly hatched snake weighs 1 0 lb This weight increases by 3 percent each day for the next 3 weeks of its life Write an exponential equation that...
- Q 1 Use your calculator to find the value of y if x 4 Round to the nearest hundredth y 765 1 39 y
- Q All vectors are in Rn Check the true statements below A If a set S up has the property that u U j then S is an orthonormal set 0...
- Q 2 Solve the system of equations x y z 3 x 1 y z 2 2 y
- Q 4 What does y equal in the solution of the system of equations below 2y8x3z 66 21x 0 2z 2x 24 O 02 05
- Q The dot product of two vectors can be written in the form x s 11 I1 I2 t in R is defined by a y x1y1 242 Inyn The vectors...
- Q 4 On a separate sheet solve the system of equations by graphing Check your answer with the feedback 6x 12y 36 y x 1 x y
- Q 11 State the number of solutions without graphing 11y 55 2x y x 5 O One solution O No solutions O Many solutions Two solutions
- Q Problem 8 Find a least square solution for the equation 90 0 3 2
- Q How long will a package containing a dozen gauze pads last if a dressing that requires one pad is changed four times a day A B C 2 days 3...
- Q 1 a Solve the following stem of linear equations by LU Method 15 pts b Solve the following system of linear equations by Cholesky Method 15 pts c Solve the...
- Q 6 Find the image of the line y 2x 3 under the transformation by matrix 2 A 5 3 m
- Q 7 Find the image of a triangle with three vertices 0 0 1 1 and 1 2 under the transformation by matrix A 23 Draw both triangles in the x...
- Q 2 By inspection of matrix R obtained for matrix A find the rank of A the nullity of A the basis for row space the basis for column space of...
- Q 02 20 20 Problem 6 5 points Find the line that best fits the data M A A
- Q 2x 2x 2x3 4 2X2 2 x 5x 2x3 1 8 x x 4x 11
- Q Dilate the given triangle with a magnitude of 3 6 3 3 1 3 9 9 31 31 CO
- Q Reflect the given triangle over the y axis 3 3 3 6 31 3 T 3 6 3 0 Enter
- Q sin x dx Your ID s last three digits are abc Let m 1 a b c Apply Simpson s Rule with n 2 to solve the integral Just type...
- Q A 5 Find the cigenvalues and the eigenvectors of A Is A diagonalizable Explain If so find an invertible matrix P and a dingonalizable matrix D such that PAP D...
- Q The length of two objects are in the ratio of 2 1 If each were 3 inches shorter the ratio would be 3 1 The longer object is
- Q Compute the square root of the matrix A where A 8 10 3 10
- Q Let A be an 10x10 matrix define T s A sl Show values such T s is invertible every diagnol entry of T s 1 is of form p s...
- Q t p p 1 p 0 p 0 p 1 Let t p3 s2 be the linear transformation Fi
- Q Find the matrix P if it exists which diagonalize the matrix 1 3 3 3 5 3 6 6 4
- Q Let A nxn matrix such A 2 A Show that if delta is eigenvalue of A then delta 0 or 1
- Q Identify the key features of the graph of h x Select all that apply 1 0 8 5 4 2 10 8 6 4 2 4 6 co 8 10...
- Q 1 1 v1 0 v2 1 1 0 Find an orthogonal basis u1 u2 for W spar v1 v2 C
- Q a 203 9 1 9 0 0 1 Are therean invertible 3x3 matrix P and a diagonal3x3 matrix D such that P 1 AP D no explain if yes find...
- Q NSS 9 5 45 Two tanks each holding 50 L of liquid are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 4...
- Q Nevaeh is solving this absolute value inequality using a graph x 8 7 She graphs the following in Desmos y x 8 y 7 Here is her graph 5 O...
- Q O g x x 2 O g x x 2 Og x x 2 O g x 4x 2 Question 2 Describe the transformation from f x x to the...
- Q Match the domain and range for the graph below 1 0 The domain is 5 4 2 10 CO 6 at 4 2 2 4 6 CO 10 2 4...
- Q 5 Let A 1 1 1 3 and b NN 2 1 1 Find the least squares solution of the system Ax b and find projR A b 2 Find...
- Q For the system represented by the state equation X x Ax t the state response x t is given by x t Determine the system matrix A at at when...
- Q Determine the domain of the following graph 12 11 10 9 8 7 6 5 4 3 2 1 4 5 c c i i c n m 2 6...
- Q Let A 2 3 7 5 and u 7 Define a transformation T R R by T x Ax Find T u the image of u under the transformation T
- Q Question 11 wo Find the standard matrix of the linear transformation T T R R rotates points about the origin through angle T 4 radians with counterclockwise rotation for a...
- Q You should be able to find this without a calculator cos cos 0 3
- Q T 0 0 1 sin cos sin 0 0 cos 0 0
- Q Ralph Chase plans to sell a piece of property for 145000 He wants the money to be paid off in two ways a short term note at 11 interest and...
- Q 5 S 15 Let T T2 are linear transforms in R2 defined by T x x 2x2 2x1 x2 T x 3x x2 x1 3x2 nd a standard matrix for...
- Q Find the roots of the polynomial p x x 9x 10 O 10 and 1 O 1 and 10
- Q 0 Let A P 3 Find a nonzero vector u in Nul A u 1 7 1 1 16
- Q 2 Is the set of vectors 2 3 1 4 1 1 0 7 1 a basis for R
- Q 5 Find a basis for the solution space of the following homogeneous linear system and find the dimension of that space 3x1 x2 x3 X4 0 5x1 X2 X3 X4...
- Q 1 Are the following sets of vectors linearly independent Why a u 2 3 and u 1 2 and 3 3 1 in R b p 1 2x x and...
- Q 6 Find the basis for the given subspaces of R and state the dimension a 2x 3y 4z 0 b 2x 3y 0
- Q In planning her retirement Liza deposits some money at 2 interest with twice as much deposited at 2 5 Find the amount deposited at each rate if the total annual...
- Q Find the slope of the secant to the curve f x x 5 between x 2 and x 1 O a 3 b 1 3 c 3 d Submitting Your...
- Q Determine the composite function fog and gof For each composite function state the domain and range a f x 5 2x x and g x 1 6x b f x...
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