Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 2 1 1 1 2 1; λ=1,4 1 1 2

Q: cos(2A + A) = −3 cos A + 4 cos³ A

A: NOTE: Refresh your page if you can't see any equations. . the left-hand side is  use the formula

Q: II. Find the particular solution of y" +5y' + 4y = 0 with initial conditions y(0)=1 and y'(0) = -3…

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A: Let's find possible function.

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A: Please see the below picture for detailed solution.

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Q: 54° M 103⁰ 22 ft Stick

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A: We have to find the average rate of change of q from 5 to 6.

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Q: x+y=9 2x+3z=7 5x+3y + 2z-w-15 6y+3z +2w+u = 20 3x+62 +2u - 11

A: Let's find z value from given linear equations.

Q: 7. 57 * 기 + ||

A: Given ; 5-7/12 ÷1/5.

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A: Topic = Algebra

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Q: Express [(XnY) U (XY)] in its simplest form.

A: We know, (A∩B)c=Ac∪Bc A-B=A∩Bc Sc=Φ, S is the universal set and Φ is the null set.

Q: Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A = 5 0 -1 3 0 -7…

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Q: 2. y>-² + 4x - 3 \

A: Mentioned Number 2 solved

Q: 5. Use the matrices below to perform the indicated operation if possible. If not possible, explain…

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A: Topic:- geometry and Equation of line

Q: Provide an example on how to calculate the surface area of a sphere and a pyramid.

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A: Given query is to find the cost of the butter milk.

Q: 10. Use the Pythagoras theorem to find the missing lengths of the following triangles. The theorem…

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Q: 3. Solve 2 sec²x-5 secx + 2 = 0 on the interval x E [0, 2π].

A: To find the solution of the given trigonometric equation.

Q: For each equation, algebraically compute all complex solutions and sketch them in the complex plane.…

A: Given: we have to solve the equation in its real form +imaginary term

Q: Question 7 If f(x) = 9x - 7 and g(x) (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and fare Y Submit…

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Q: A satellite calculates the distances and angle shown in the figure below (not to scale). Find the…

A: by  using cos law c2=a2+b2-2abcosCgiven a=390 ,  b=310 and C=2.1°

Q: [1 1 1 1] 4 3 0412 A- 2 1

A: I have solved step by step in detail...I have used echelon form method to find the rank of…

Q: Find a basis for the eigenspace corresponding to the eigenvalue. A = 3-2 2 6-4 -2 3-6 8 λ = 2 A…

A: Let X=abc be the eigenvector for eigenvalue λ=2 Then [A-2I]X=0

Q: 2. Solve the following equations. Leave answers in exact form. 5-3 625 a) 125 2x = b) 1 log (2x + 3)…

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Q: Consider the system of equations: 2x + 3y = 1 |3x + 5y = 2 (a) Write the system of equations in the…

A: Given Data : We have given system of equations, 2x+3y=13x+5y=2   Part a : Now consider the matrix…

Q: Find the general solution of y" + 4y = g for: (a) g = 1² + e²t " (b) g = t² + sin 2t, (c) g = sec…

A: As per the instruction, I will be answering only the first question. Given: For (a), So, the…

Q: Use casting out nines to see if these calculations may have an error. If​ incorrect, give the…

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Q: 41. If f(x)= 2x+3 for x≤-1 1-5x for x>-1' , find f(-1).

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Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

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Q: Factor using GCF 32m³n²p² - 56m²p

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Q: 6. Determine the value of csc 0.71, to three decimal places. a. 0.652 b. 1.534 C. 0.012 80.700

A: The csc of 0.71 radians is 1.53413, the same as csc of 0.71 radians in degrees. To change 0.71…

Q: Given that f(x) = x² - 5x and g(x) = x + 2, calculate (a) fog(-4)= (b) go f(-4)= (c) fo f(-4)= (d)…

A: To find the value of the composite function

Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

A: Given, 034301410

Q: If f(x) = x + 4 and g(x) = x - 4, (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and fare functions.

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Q: 3 2 EXAMPLE Graphing f(x) = a(x - h)" + k Graph g(x)= 3(x-2)4 - 4. A The graph of the parent…

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Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = log3(x) as the parent…

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Q: 1 Suppose that $87,000 is invested at 3% interest, compounded quarterly. a) Find the function for…

A: The amount $87,000 is invested at 312% interest compounded quarterly. We have to find the required…

Q: The demand and supply functions for Pop's Pogo Sticks are given by 7x + 3p - 450 = 0 and 6x-2p-20=0…

A: Please see the below picture for detailed solution.

Q: Diagonalize the matrix, if possible. Enter "DNE" (without quotes) in each of the answerboxes if the…

A: According to question,Given Matrix,A = -10-13

Q: Let A and B be independent events with P(A) = 0.4 and P(B) = 0.5. Then P(AUB) is A P(A/B) is A/

A: Given P( A ) = 0.4 P( B ) = 0.5 P( A∪ B ) = ?P( A|B ) = ?