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An Introduction to Mathematical Statistics and Its Applications (6th Edition)
- Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your answer analytically. (a) y = x1/2, (9, 3) 10 8 y 4- (9, 3) 2- 4 6 8 10 y' = 3arrow_forwardFind disjunctive normal form(DNF) and conjunctive normal form(CNF) for each problem. Show all steps that it took to convert to that form. (9) flx,y) (b) flx,y) &) Fixy) = x5 (xry) =xy +X t X.yarrow_forwardspecify dy / dxarrow_forward
- 5. Sintyarrow_forwardHow do I find an unknown positive normalizing constant, given x is a continuous unknown and the PDF of x?arrow_forwardNormalize the set of functions "sin, n = 1, 2, 3,..", –d < x < d Useful constants: h= 6.62 x 10-34 J s, c = 3 x 1010 cm s', m, = 9.1 × 10-31 kg, g= 9.8 m s? (sin ax) dx = - -cos ax + C a cos ax) dx = sin ax + C 1 |(sin'ax) dx 1 sin 2ax + C 4a %3D )dx D + sin 2ax + C 2 4a |* sin"az) dx = -(; - sin 2ax - x cos 2ax + C 4a 8a |f cos*ax) dx = +(; sin 2 ax + &a x cos 2ax + C 4a cos 3ax + C 12a 3 cos ax | (sin ax)dx 4a * (sin ax)dx = (a²x² - 2) cos ax 2x sin ax + C a (ax? - 2) sin ax 2x cos ax + C a? x (cos ax)dx =arrow_forward
- Q4) Find the equation of the normal to the curve [y'+x(1+y)-4] at point (2,1).arrow_forwardMIDTERM » DER. OF INV. TRIGO FUNCTIONS > + Midterm Seatwork #3 Find the derivatives of the following: 1. y = Arcsec(2x°) + sec(2xº) – 2x6 (E) 2. y = Arccot 3. y = Arcsin (3x5 + 1)³ 4. y = csc(4x²) Arccsc(4x²) 5. у %3D (Arccos Зx5)3 N| 8arrow_forwardFind the slope of * y + Vx+ y =x at (3,1).arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage