{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

espwksht11

# espwksht11 - ESP Kouba Worksheet 1 1 1 Determine the values...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ESP Kouba Worksheet 1 1 1. Determine the values of x for which the following functions are increasing, decreasing, concave up, and conmve down. Indicate relative maximum, relative minimum, and inﬂection points. Neatly sketch the graph. a. f(x)=x2(x-3)v b_ f(x): x 0. f(x) = 2x-—- 1/x d. 2. Determine a function fwhose derivative is given by f ' . a. f'(x)=1r2—e2 b. f'(x)=1+x+x2 c. f'(x) = secz7x d. f‘(x) = 25inxcosx 9- f'(X) = 3(f(X))2 X3 3. Let f(x) = x+ 1 For whatvalues of x is f'(x) = 0 ? 4. Solution A is 35% alcohol (by volume) and solution B is 60% alcohol (by volume). How much of each solution should be combined in order to have two liters of solution which is 40% alcohol (by volume) ? . 5. Let f(x) = g(h(x) ). Assume that h(1) =2, g(2) =-3, h'(1) =4, g'(2) = 1/2, h"(1) = 3, and g"(2) = - 2 . Determine values for each of the following. a. f(1) b. f‘(1) c. f"(1) ,. 2’5 6. A circle is inscribed in the square, which is inscribed in the right triangle, which has height 2 and base 1 . Determine the circumference of the circle. See diagram. 7. Wave Y‘ijor‘ous‘y +hq+ ‘Hne \$oiiowim3 STq‘i'emei/d's aibou‘i' limits av‘e Jame. 4. im (3X—l):5/ b \m (q+2><)=3 X-ﬁz X-‘M X-9‘2. 3 \im i— =1 43 hm X" :~3 Xe?) X—l X—? "i X+l x1 i 3 hm (7— wag k hm : Ta X—H"! xqé: [90(4'3 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

espwksht11 - ESP Kouba Worksheet 1 1 1 Determine the values...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online