23. Using first principles, determine the derivative of f(x) = 1 √4x+7 24. Determine the corresponding Cartesian equation. L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R 27. Calculate the area of the parallelogram whose adjacent sides are å = [−6,5,−4]& b = [−2,2,4]. 28. Differentiate and SIMPLIFY the following functions: . a) f(x) = e-3x² cos²(4x-5) b) f(x) = (x6) 4 (7x+3)7

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.CR: Chapter Review
Problem 67E: 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.
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23. Using first principles, determine the derivative of f(x)
=
1
√4x+7
24. Determine the corresponding Cartesian equation.
L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R
Transcribed Image Text:23. Using first principles, determine the derivative of f(x) = 1 √4x+7 24. Determine the corresponding Cartesian equation. L1: 7 = [4,−3, 5] + t[2,0,3], t € R and L2: ŕ = [4,−3, 5] + s[5, 1, −1], s Є R
27. Calculate the area of the parallelogram whose adjacent sides are å = [−6,5,−4]& b = [−2,2,4].
28. Differentiate and SIMPLIFY the following functions: .
a) f(x) =
e-3x²
cos²(4x-5)
b) f(x) = (x6) 4 (7x+3)7
Transcribed Image Text:27. Calculate the area of the parallelogram whose adjacent sides are å = [−6,5,−4]& b = [−2,2,4]. 28. Differentiate and SIMPLIFY the following functions: . a) f(x) = e-3x² cos²(4x-5) b) f(x) = (x6) 4 (7x+3)7
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