10. Given: f(x) = (x2 + 3x) a) Find dy = f'(x)dx b) Evaluate dy when...
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
dy dx Find when x = 3 and = -2, given that x2 + y2 = 35. dt dt dy (Round to two decimal places as needed.)
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
please make sure i can read your handwriting 2. Given fx)-x+3x a. Find dy b. Evaluate dy for x "3 and dx-0.1 3. An object moves along the y-axis (marked in feet) so that its position at time x ( in seconds) is fix)-x- 15x2 +72x a. Find the instantaneous velocity function v. b. Find the velocity at x 5 seconds. c. Find the time (s) when the velocity is O.
Apply Green's Theorem to evaluate the integral. froy 1 + x)dx + (y + 3x)dy C: The circle (x - 7)2 + (y – 5)2 = 5 с froy + x)dx + (y + 3x)dy = с Tyne an eyact answer using as needed
2. a) Find an approximation to the integral (%(x2 - 4x) dx using a Riemann sum with right endpoints and n=4. b-a and x,-a +Ax. Use this to b) Using the definition ()dx = lim Žf(x7)Ar, where Ar = ? evaluate 1, (x2 - 4x) dx
(a) Find the differential dy x/5 dy (b) Evaluate dy for the given values of x and dx. x = 0, dy . Submit Answe
Find the value of dy when x=3 and dx= 0.01 for f(x)= 5x2-3. Compare this with the value of Ay when x=3 and Ax 0.01
11. (10pts) Consider the curve given by the function f(x) = x2 – 3x + 2 a) Approximate the area of the curve over the interval [0,10) using Reimann Sums. Use midpoints with n = 5 subintervals. b) Find the exact area of the curve over the interval [0,10] using integration.
I know the answer of a and b but I don't know hoe to do c dy a) Find- if y = ax +b cx+d b) By using changes of variable of the form (*) show that: dx=-in 3--In 2 4 c) Using the ideas from part a) and b) to evaluate the integrals: r2+3x +12 In dx and In o (x + 3)2 (x + 3)2 dy a) Find- if y = ax +b cx+d b) By using changes...