Find dy/dx and d2y/dx2 ?
x = t2 + 9, y = t2 + 5t
For which values of t is the curve concave upward? (Enter your answer using interval notation.)
38. [-13 Points] DETAILS SCALCET8 10.2.011. Find dy/dx and dạy/dx2. x = +2 + 9, y = t2 + 5t dy dx dy ho = dx² For which values of t is the curve concave upward? (Enter your answer using interval notation.)
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 - ex; 4) dx dx2 and y - 29 when x = 0 42 dy dx 2 2x A) y B) y 7 6 7 6 사우-등나을이건을. 22x+ 27x-6_1 ex 2 2x-2,7x,6_1 5 7 6 C) y D) y 7 6 Find the particular solution to the given differential equation that satisfies the given conditions. d2y 9 dy 14y= 12 -...
find dx/dy and d2y/dt2 if possible, and find the slope and concavity (if possible) at the point corresponding to t=3 x=t+2 y=t^2+8t
Solve the following differential equations x2d2y/dx2 − xdy/dx − 3y = lnx/ x , x > 0. show that the answer is y = A/x + Bx3 − lnx/ 6x (2lnx + 1) x d2y/dx2 − dy/dx + 2y/x = (ln x)2 .show that the answer is y = x { A cos(ln x) + B sin(ln x) + (lnx) 2 − 2 }
PPlease answer using MATLAB Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution. day - 6 dy + y = 0; y = C1e3x + czxe3x dx2 dx when y = Gjer Czxe3x dy dx dey dx2 = Thus, in terms of x, d2y + 9 = dx2 dx - dy +91c1e3x + cqxe3x)
For the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t) 9 dt y(t) 5x(t) 7 2 6 dt3 dt2 dt2 Express the system transfer function using the pole-zero plot technique a) b) What can be said about the stability of this stem? For the system described by the following differential equation d3y(t) d2y(t) d2x(t) dy(t) 3 dt dx(t) 9 dt y(t) 5x(t) 7 2 6 dt3 dt2 dt2 Express the system transfer function using...
Consider the equation below. (If an answer does not exist, enter DNE.) FX) - - 2 - 15x + 4 (a) Find the interval on which is increasing (Enter your answer using interval notation) Find the interval on which is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of local minimum value local maximum value (c) Find the inflection point (X,Y) - Find the interval on which is concave up. (Enter your answer...
Consider the following differential equation. (x2 − 4) dy dx + 4y = (x + 2)2 Consider the following differential equation. dy (x2 - 4) dx + 4y = (x + 2)2 Find the coefficient function P(x) when the given differential equation is written in the standard form dy dx + P(x)y = f(x). 4 P(x) = (x2 – 4) Find the integrating factor for the differential equation. SP(x) dx 1 Find the general solution of the given differential equation....
Problem #3 Solve initial value problem as follows: 1 r2 dạy dy + 4x dx2 dx + 2 y = y|x=1 dy dx = 2, | x=1 = 3. х dy Calculate the value of at the point where x = 2, round-off your value of the derivative to four figures and dx present your result below (10 points): (your numerical result for the derivative must be written here)