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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...
Find all values x = a where the function is discontinuous. 3x - 5 if x < 0 f(x) = x2 + 5x -5 if x 20 O A. a = 0 OB. Nowhere O c. a = 5 OD. a = -5
Given f(2) (2 + 1)2 if Iso find the following and graph. - 3x - 1 if > 0 a.) f(0) = b.) f(-2) = c.) f(2)= d.) Choose the correct graph below for f(2).
Evaluate the following integrals. (a) / In(3x) dx for x > 0 (e) / ( +er) dx (n lete* dx (e) sin(5x +1) dx
for the following function (5 Marks) dy 5. (b) Use implicit differentiation to find dx 3x* - 6 ln(2xy) = 7-5e24-sy dy 1. (b) Evaluate: lim r? + 4x -12 (3-12x +1 (5 Marks)
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
Use logarithmic differentiation to find dy/dx. y = xy - 8 x > 0 dy dx Need Help? Read It Talk to a Tutor
Use Taylor polynomials to evaluate the limit. e-3x – 1 7) lim X0 х sin 2x - sin 4x 8) lim x>0 х
Evaluate. Assume u >0 when In u appears. dx e Hint: = ex + 15 ex + 15 - X 1 + 15e dx e* + 15
Find S (3x - 5)(x – 3)dx, with C as the constant of integration. S(3x – 5)(x – 3)dx = Enter your next step here Find a antiderivative for – 7 cos x. You may use C as the constant of integration. Antiderivative = Enter your next step here * () ne per tris ab 6 Find S(5x3 +678 +2)dx, with C as the constant of integration. Slox++ 2)dx = Enter your next step here dx, with C as the...