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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F633dc666-1c4e-4222-82a0-1d910c7662c5%2Faeff903b-b073-4421-85d9-4b74a84df4f0%2Fd5ki6no_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F633dc666-1c4e-4222-82a0-1d910c7662c5%2Faeff903b-b073-4421-85d9-4b74a84df4f0%2Fgzb8oie_processed.png&w=3840&q=75)
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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