(5) Let T P₂ → P₁ represented by T(ao + a₁ + a₂x²) = a₁ + 2a₂x. Find kernel of T.

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A: Let p =z x= x1,    y=x2 then solving

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Q: -2 0 ·N·

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Q: 36 14. A ball is thrown straight up in the air. Let h be the height, in feet, of the ball above the…

A: Solution )  given t = 2 1/2 = 5/2 sec Height h = 5 1/2 = 11/2 feet  v = 44 feet/ sec s = h + vt -…

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Q: find the sum of the first 25 terms of an arithmetic series if t12=-26 and t22=-46

A: We need to find the sum of first 25 terms of an Arithmetic series. We have t12=-26   and   t22=-46

Q: (x³y)−¹ (x²y³) (x²y-3)-² √25m-12 √25 m ¹0 (9p 6p² for p = 3

A: Given probelms- x3y-1x4y3x7y-3-2-1 25m-1225m10 9p-2126p2

Q: ·N·

A: We can answer the question as below.

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Q: Help on how to actually factor after getting the answer after using synthetic division I'm stuck on…

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Q: 318,203 31

A: Given, 8203÷31

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Q: Use this The quadratic function y = 2x + 3x-20 has zeroes at x = -4 and x 5 information to find the…

A: This question is based on mid-point Theorem. Mid-point of (a,b) and (c,d) is  x = (a+c)/2 , y =…

Q: Suppose that the function fis defined, for all real numbers, as follows --x-1 2*-1 (x-1)²-3 f(x)=< 4…

A: we need to find out the values of the function at the given points.

Q: The quadratic function y = 2x² + 3x - 20 has zeroes at x = -4 and x information to find the vertex…

A: We can find the vertex of the given quadratic equation as below.

Q: 1100 negative 10. Write each of the following fractions as a terminating decimal or, if a repeating…

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Q: If 7000 dollars is invested in a bank account at an interest rate of 9 per cent per year, Find the…

A: We have to find the final amount.

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Q: If a,b, and c are consecutive integers and abc=0, then what is the smallest possible sum of there…

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Q: Find the LCM of 72 and 60

A: Given problem:- Find the LCM of 72 and 60

Q: Find the cosine of the angle, 0 Ses x/2, between the plane x +2y-2z= 2 and the plane 4y-5x + 3z =…

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Q: c) y" + 2y" = 32e²ª + 24x, y(0) = 6, y'(0) = 0, y″(0) = 14

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q8 Convert each question betwee exponential and logarithmic form a) c4 = ab MIN h) 1095 (5√ 5 ) = 3…

A: Given problem:- convert each question between exponential and logarithmic form  c4=ab log555=32

Q: 2. Evaluate by adding those two expressions below. Show your work. (-2) 4 × (-2) ² (-2) 4 x (-2) ³…

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Q: Which of the following statements is NOT true? Sometimes an exponential equation can be solved…

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Q: 14. √y-8=2

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Q: Algebra: A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many…

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Q: Given any set of four integers, must there be two that have the same remainder when divided by 3?…

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Q: The tangent plane to the surface with equation = at the point (x, y, z) = (4, 1,67) has the equation…

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Q: ^ = [1 ] A If A is diagonalizable, find an invertible 2 x 2 matrix P and a 2 x 2 diagonal matrix D…

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Q: - - The set B = {x² - 2, 4x² − (8 + 3x), 15x² − (28 + 9x)} is a basis for P₂. Find the coordinates…

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Q: Whats part 2???????

A: Let's solve three linear equations.

Q: Consider the matrix [2 7 31 1 3 2 3 7 5 a) Write the cofactor of each element of the matrix A. b)…

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Q: 1/5^-3

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Q: The height of an object that is launched from a 58.8 meter tall building at a velocity of 19.6m/s…

A: Given problem:-   The height of an object that is launched from a 58.8 meter tall building at a…

Q: Which of the following equations produces the largest value of x 33x = 729 92+5 = 27* 2 = 16 42x 8-1…

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Q: If f(x)=x²-x+ 3 and g(x) = 3x, find f(g(x)) Select one: a. x ³-3x - 3 b. 3x²-x+6 C. 9x²-3x+3

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Q: For the function f(x)= x+5, what is the odored pair for the point on the graph where x = 4w

A: Given problem:- For the function f(x)= x+5, what is the ordered pair for the point on the graph…

Q: World consumption of a certain metal is running at the rate of  338e0.02t thousand metric tons per…

A: Given: World consumption of a certain metal is running at the rate of  338e0.02t thousand metric…

Q: Find the vertex of f(x)=3x2-40x+180. Use the rule for finding a vertex of a formula in standard…

A: We have to find the vertex of  f(x) = 3x2 - 40x + 180  Use the rule for finding a vertex of a…

Q: 4, 2 N/W 2

A: solution is given below

Q: Which of the following is the equation for the graph shown? ← -10-8-6-4 10- 8 2 T -6. 60 -10- a.…

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Q: 8.) Due to Earth's curvature, the maximum distance, d, in kilometers that a person can see from a…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: State which operation you would do first to evaluate (6)° + [8 ÷ (-2)]2 - 5

A: topic - algebra

Q: Which of the following transformations is required to graph y=√√x-6 from its parent function? a.…

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Q: Use synthetic division to solve 4x^3 - 4x^2 +5x + 6 / (x+6). What is the quotient?

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Q: The symmetric matrix A below has eigenvalues 9 and 27 (multiplicity 2). Find an orthonormal basis B…

A: Please see the below pictures for detailed solution.