3: For which real numbers k is the matrix A: k> 3 B: k = 3 C: k <3 O A О в О с O D k -31 k -3 positive definite matrix? D: Non of these

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: diagonalize the  2x2 matrix 1 0 6 -1

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Q: Consider the figure below. (Use the rules for working with measurements to give your answers to the…

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Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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Q: How can you find the unit rate of 60 miles in 4 seconds

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Q: Solve the system below using augmented matrix methods. Graph each solution set. Discuss the…

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Q: John does five push-ups on the first day of a 30 day month and then increases the number of push-ups…

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Q: Over the past year Bob and Clark Manufacturing had an average quarterly sales for the past 5 years…

A: In this question, we need to compute the seasonal indexes of spring, summer, fall and winter.

Q: 7) Graph the equation. Be accurate. x2 + y2 = 36 -10 -5. 10- 手 5 10 x

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Q: Odina is going to throw a ball from the top floor of her middle school. The function…

A: Given problem:- Odina is going to throw a ball from the top floor of her middle school. The function…

Q: Evaluate the determinant by general definition k 1 1 1 1 k 11 k 1

A: Here qe have to solve the determinant

Q: The cost (in dollars) of producing s shirts in a factory is given by C(s) = 35s + 560. The number of…

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Q: An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

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Q: cos 270⁰ tan 225º

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Q: An apartment is sold cash at 500,000$. By installment you pay 20% of the apartment cash price as…

A: Given data :- cash price of apartment =500,000$ monthly payment = 7000$ Total number of month for…

Q: d the area bounded by the graphs of x = y² and x 2 - y²

A: Topic = Area

Q: A company is planning to manufacture snowboards. The fixed costs are $100 per day and total costs…

A:

Q: Pablo invested  $5200  in an account that pays an annual interest rate of  3.7% , compounded…

A: Given: Pablo invested $5200 in an account that pays an annual interest rate of 3.7%, compounded…

Q: Use the pair of functions to find f(g(x)) and g (f (x)). Simplify your answers. ƒ(x) = √x + 8, g(x)…

A: By using the pair of functions to find fgx and gfx. To simplify the answers.fx=x+8, gx=x2+9

Q: Select the correct answer. What is the value of this expression when c= -4 and d = 10? (c³+d²) OA. 2…

A: The objective of the question is determine the value of the expression.

Q: 3. Leonard had $580 for Medicare, $2400 for state income tax, and $2480 for Social Security deducted…

A: topic- algebraic operations

Q: Q2/Examine the following surface for maximum, minimum, and saddle points 2 = x² + y² + xy + 4x - 4y…

A: We can use the second derivative test to find the maximum, minimum and saddle points.

Q: Find L-1 8 - 10s [(s + 1)(s - 2)²] f(t) = 2e-t + 4e²t - 2et

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Q: Solve the system of equations using augmented matrix methods. x₁ - 2x₂ = -7 2x₁ x2 = 1

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Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: implies Lemuel Score: 17, 20, 18, 12, 11, 9, 11, 12, 13, 16, 25, 18, 1 1. What is the mean of the…

A: We have to find the mean,range, percentile 78 according to given condition.

Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: Topic = Limits

Q: Find the equation of the hyperbola satisfying the given conditions. Vertices at (0,4) and (0,-4);…

A: The hyperbola satisfies the condition,vetices at 0,4 and 0,-4Foci at 0,5 and 0,-5

Q: Find an angle coterminal to -539°, where 0° ≤ 0 < 360°.

A: Given angle is -539 degrees

Q: Write an equation in slope-intercept form for the line shown. There is no work required for this…

A: topic- slope intercept form of line

Q: Solve the linear programming problem. Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y…

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Q: 16)}=2x−1

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Q: Find the surface area of the triangular prism. 8 m [?] sq m 6 m 10 m 7m

A: We know that area of triangular prism, A=(Perimeter *length)+(2*base area) That is…

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: 7: The norm of the matrix A O True O False [3 1 11 3. is equal 4.

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other questions…

Q: For the feasible set in the figure to the right, determine x and y so that the objective function 5x…

A: The objective function 5x+6y

Q: ff (x + y) dy dx for the region bounded by the x=0, x=2, y = x and y = x + 2

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Q: A = {0, 1}, B = {x}, and C = {red, green, blue}. Write the contents of the following 5 sets (a-e) in…

A: We have to find set

Q: A telephone pole has a wire attached to its top that is anchored to the ground. The distance from…

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Q: if x 2 4 5 -1 -2 -3 -4 -51 Clear All Draw: Note: Be sure to include closed or open dots, but only…

A: Given data÷

Q: Divide. (x²+9x+23)÷(x+6) Your answer should give the quotient and the remainder.

A: To Solve : x2+9x+23÷(x+6)

Q: Let f(x) = - 10x + 5. Find 1(2) f ¹(3). 2 (Simplify your answer.)

A: This question can be solved using the concept of functions.

Q: Consider the given matrix. Determine det(A) and the inverse matrix of A.

A: Here we have to find the determinant and inverse of a matrix.

Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Given, [-4,1] U [5,∞)

Q: Solve the equation and write out your check. Identify the equation as an identity, an inconsistent…

A: The given equation,2xx-3+6x+3=-28x2-9

Q: Solution of+=e* using integrating factor is dy dx y= xe* + et y=xe*-e* −c x X Option 1 O

A: The given equation is;  dy/dx +y/x =ex.

Q: 14: Given three vectors u = [1 0 0], v = [1 0 -3] and w= [1-3 -5]¹. Which of the following matrix…

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: Solve using augmented matrix methods. 3x₁ + 2x₂ = -4 - 4x1 x₂ = 7 Select the correct choice below…

A: topic - matrices and linear equations

Q: A bank offers a CD that pays a simple interest rate of 4.5​%. How much must you put in this CD now…

A: Use simple interest formul