Constants: a = 2, b = 3 c. Find global position x when [x]B = 1 2 . d. Using your answer for x from part (c) find [x]C using only basis C.

Q: X(Vx+

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A: here is we see that function is not define when x=2

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

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Q: √x² + y² - 4 y-2 Find and sketch the domain of f. Let f(x,y) =

A: The given function is:                                                      fx,y=x2+y2-4y-2

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Q: M] - [8] x+y -3x+y.

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Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

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Q: = The second question: Let (W = (x2 + 2 + 2) find the value of the real constant k that achieves = 0…

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Q: Let f(x) = - 32x – 20z -31¤ – 4. Divide f(x) by 4x + 1. Identify the quotient and remainder.…

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Q: Find the intercepts y= 3x+1

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Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: 1 Vx-5 Q Find the domain of y = |x-3| |x+5| x2-25

A: Given y=1x-3-1x+5+x-5x2-25. We know that The domain of a function is the set of input values for…

Q: Find all zeros of f(x) = x– 3x2 + x – 3. Enter the zeros separated by commas.

A: We have f(x)=x³-3x²+x-3 i.e, f(x)=x²(x-3)+(x-3) i.e, f(x)=(x²+1)(x-3) i.e,f(x)=(x-i)(x+i)(x-3)…

Q: t the func 2ху) is a

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Q: Determine the piecewise representation of f(x) below: x) = [9x + 36| Equation A if x2 a f(x) =…

A: we have to find

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

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Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

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A: Consider the vectors u→=3,−2v→=5,−7

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Q: 1) Establish two linear functions shown below and find X and Y coordinate of the intercept P of two…

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

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A: Rationalising is a process in which radical terms in the denominator are made whole rational terms…