If 4x - 9 ≤ f(x) ≤ x^2 - 4x + 7 for 0 ≤ x, find lim (x --> 4) f(x) I know I should use the Squeeze Theorem, but I'm not totally sure how to ANSWER:3x2 #31,...
If 4x - 9 ≤ f(x) ≤ x^2 - 4x + 7 for 0 ≤ x, find lim (x --> 4) f(x) I know I should use the Squeeze Theorem, but I'm not totally sure how to ANSWER:3x2 #31,...
Given that lim (x --> pi/2) tan2(x) = ∞, illustrate Definition 6 (definition of infinite limits) by finding values of that correspond to (a) M = 1000 and (b) M = 10,000...
ANSWER: False #31, practice problems
If f is continuous at 5 and f(5) = 2 and f(4) = 3 then what is the lim(x --> 2) f(4x2 - 11) equal? ANSWER: 2 #25, practice problems
lim (h --> 0) (√(1 + h) -1)/h ANSWER: 1/2 #14, practice problems
lim (h --> 0) ((3 + h)-1 - 3-1)/h ANSWER: - 1/9 Chap 2, pp13
lim (x --> 16) (4 - √x)/(16x - x2) p107, #27 ANSWER: - 1/128
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