Determine dy/dx for
y=8x^3 sin^ −1x .
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hind the derivative. y = 12x dy + 5x + 8x, find dx O A. dy = -24x dx - 3 + 15x2 OB. dy =- - 24x - 1 + 15x² + 8 dx O C. dy dx - 24x - 1 + 15x2 OD. dy dx -3 - - 24x + 15x2 + 8
8. Evaluate $c (4xy3 + 3y) dx + (8x – 6x?y?) dy where C is the triangle formed by vertices (0, 0), (3,0), (3, 4) oriented counterclockwise
Evaluate I=∫C(sinx+9y)dx+(8x+y)dy for the nonclosed path ABCD in the figure. A=(0,0),B=(4,4),C=(4,8),D=(0,12) (1 point) Evaluate I figure. Je(sin x +9y) dx + (8x + y) dy for the nonclosed path ABCD in the A (0,0), B (4,4, C (4,8), D (0,12)
Consider the equation 2xy (y dx + x dy) = (y dx - xdy) sin - Is the equation exact? If not, find an integrating factor, and solve the equation that is exact with the integrating factor
23 y?z? sin(x4) dx dy dz
1. Let Q1 = y(7), where y solves dy dx + 8x 2 = 5x, y(6) = 4. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5. 2. Let Q1 = y(1), where y solves dy dx + 1.7y = 5e 1.2x...
3. (20 points) Find the solution to the differential equation y sin(y) dx + x(sin y - y cos y) dy = 0
dy Find dx for the following function. y = 9 sin x + 5 cos x dy dx 1
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?....
determine dy/dx if y=7x