Find the following for the vectors v = 9i - 2k and u = i +j+ k. a. v•u, |v|, |u| b. the cosine of the angle between v and u c. the scalar component of u in the direction of v

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Q: 5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² at x = 2.

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Q: Given that f(x) = 9x − 1 and g(x) = 8 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: Use sigma notation to write the sum. n [(=) --(-)----- [(*) --](#) Σ i=1 [[(%) (%) ] x

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A: Given: f is an increasing function and x2&gt;x1

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Q: Change from rectangular to spherical coordinates. (a) (0, -√3, 1) (p. 0,0) = (2 2 X TC 3

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A: We have given parametric equations x=6t y=3t3 When t=-1 x=6-1=-6 y=3-13=-3 Say,  x1,y1=-6,-3…

Q: Which of the following is/are signified by lim f(x) = ∞? I a As a approaches a, the value of f(x)…

A: solution:-limx→af(x)=∞ means that  whenever x is close to (but not equal to) a, then f(x) is a large…

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Q: Which of the following functions are continuous for all x-values" (Select all that apply.) Function…

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Q: 4. Using the limit definition of the derivative, find the derivative of g(x) = √2x + 1.

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