In(1+2x) Find the Padé approximation R1,2(x) for f(r) %3D

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108 -(x-81) 27 ○ L(x)=3-(x-81) 27 ○ L(x)=81+ ²(x-81) 4

Prove Formulas (1) - (9) Differentiate y = √3x² 1 √x = (3x²)¹/³ – (5x)−¹/2 5x

Find all functions y satisfying y" + y" = y' + y. You may use the factor- ization x + x² – x - 1 = (x - 1)(x+1)2. 4.

Show that the function f(x)=√x+1 is differentiable in z = 2 but not differentiable in x = -1.

Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts. Determine the vertical intercept of ff. f(0)=f(0)=    Determine the zeros (or "roots") of ff. x=x=    Determine the vertical asymptote(s) of ff. x=x=    Determine the horizontal asymptote of ff. y=y=

show that function u=3x^2 y+ 2 x^2 "-y^3-3y^2" is harmonic.Find the corresponding analytics function. Also find conjugate function

Determine a value for m so that h (x) = -1/3 x^3 + nx^2 + 8x – 15 has an inflection point at  x = – 2.