Let an operator P=.2 be an operator, that is, P[x] = x2. This P is a linear operator. O True O False
QUESTION 1 (x + x2)log x + x2.5 is ou O x2 log x O X3 O x2 O x log x QUESTION 2 If f(x) is O(g(x)) and g(x) is O(h(x)) then f(x) is O(h(x)). True False
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
Find dy dx if y = In(x2/x + 5). dy dx Find dp da if p = In 91 9 in(92-5). dp bp Find if p = In(94 + + 5). da dp da II
Calculus 3
Evaluate
SOLVE NUMBER 30
Evaluate x2 dx dy (x + 4y3) dx dy x + 4y dx dy cos(2x + y) dy dx e-3x-4y dy dx
[2xy cos (x+y) – sin x) dx + x2 cos (x+y) dy o
solve the differential equation
dy y(x - y) dx x2
2.2.20 Solve the initial value problem. x2 y(1)=5 dy 2x²-x-4 dx (x + 1)(y + 1) The solution is (Type an implicit solution. Type an equation using x and y as the variables.)
1. Let B { 1, х, хг} et S {x2 +x, 2-1, x+1 } be two basis of P2. Let T : P2 P2 be a linear transformation such that 3,S 2 2 -2 Find a basis of Ker(T), a basis of Im(T) and T^b 2. Let Let : P1 → P1 be a linear transformation such that 4 -3 where B-[1, x,} et S - {2c - 1,x - 1} be two basis of P1. Find A2 and T2....
Use logarithmic differentiation to find dy/dx. y = XV x2 + 25 X>0 dy - dx Need Help? Read It Talk to a Tutor