By applying implicit differentiation, find y'(x) below. y√(x^2+y^2 )=15
By applying implicit differentiation, find y'(x) below. y√(x^2+y^2 )=15
d/dx(2/3 x^3+πx^2+7x+1) Evaluate the derivative below.
lim (t-->0) (√(1 + t) - √(1 - t))/t ANSWER: 1 #25, p107
lim (x --> -4) (1/4 + 1/x)/(4 + x) (x/4x + 4/4x)/(4 + x) ((x + 4)/4x) / (4 + x) (x + 4)/ (4x(4 + x)) (x...
Find the area of the region between two curves below. y=2x^2 y=x^2+4
Find the area of the region between two curves below. (Hint: the answer is not 0) y=x^3 y=x
Find the area of the region between two curves below. y=x y=x^2−2 i have no idea how to do this
lim (x -->1) (2 - x)/(x - 1)2 ANSWER: ∞ #31, p98
∫ 54 sin(5t) dt ANSWER: - 1/ln(5) * cos(5t) + C #29, p414
∫ (x 2 + 1)(x3 + 3x)4 dx ANSWER: 1/15 (x3 + 3x)5 + C #27, p413
∫ (eu)/(1 - eu)2 du ANSWER: 1/(1 - eu) + C #17, p413
A poster of area 19,440 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area. (Let w be the...
∫14 ( (4 + 6u)/( u1/2)) du ANSWER: 36 #29, p404
∫0pi (5e^x + 3sin(x)) dx ANSWER: 5e^pi + 1 #27, p 404
∫0-2 (1/2 t^4 + 1/4 t^3 - t) dt ANSWER: #23, p 404
∫-23 (x2 - 3) dx ANSWER: -10/3 #21, p 404
∫ (1 + tan(x)) dx ANSWER: tan(x) + C #17, p404
Discuss how the limit allows a way to "divide by 0”.
1. Find dy/dx for y = 5x2 – 6x + 3 2. What is the tangent line to y = 5x2 – 6x + 3 at (0,3)? 3. If it exists, what is Lim (f(3 +h) – f(3)) / h ? H →0
Evaluate the limit n lim 6/n * ∑ sqrt(6^2−(k*(6/n))^2) n→∞ ...