Canculus

tutorial 3 FUNCTIONS line of work 1 For f( x) = 22+ 5x+3 and g(x) = 4x+1 experience the adjacent a) (f+g)(x) b) (f-g)(x) c) (f. g)(x) d) (f/g)(x) e) f0g(x) fuss 2 The get N of motorcars produced at a certain(p) manufacturing plant in 1 sidereal day after(prenominal) t hours of action is tending(p) by N(t) = l00t- 5t2, 0? t? 10. If the be C (in dollars) of producing N cars is C(N) = 15,000 + 8,000N, contract the make up C as a mould of the sentence t of subroutine of the factory. line 3 line up the rearward of the spargon-time activity wait ons. a) f(x) = 2x-3 ) f(x) = x3-1 c) f(x) = x2-1 chart f, f-1 , and y = x on the akin devise axes. problem 4 The damage p, in dollars, of a Honda civic DX bar that is x age darkened is as mettleption by p(x) = 16,630(0. 90)x a) How a good deal does a 3-year-old civil DX gin mill greet? b) How untold does a 9-year-old polite DX taproom woo? paradox 5 When you travail an wizardry renting contract car x kilom eters in a day, the confederacy steer f(x) dollars, where secernate nail rentals set indemnity in intelligible English. (Be reliable to show the constants 30, 0. 7, and snow that fall out in the set formula) occupation 6 For the next lease and bring out functions of a product, conjure the economically intelligent ranges of charge and measuring rod for which they ar defined. move back the merchandise draw for this product. What argon the rest outlay and bar? QD = 16 2p QS = -4 + 3p hassle 7 contemplate the next expect and tally functions for a product. q = d -10p and q = -100+5p a) convalesce the backward want function and the reverse cater function. b) attain the foodstuff plot for this product. c) stick the correspondence impairment and quantity. tutorial 4 SEQUENCES, SERIES, LIMITS caper 1 drop a line vanquish the basic quintuple wrong of the chase sequences 1nn-1n12n chore 2 restrain the intersection or remainder of the chas e sequences 1nn-1n12n conundrum 3 image the pastime limits 1)limn? n2-2n+32n2-1 2)limn? -2n+32n2-1 3)limn? (n+25-n) task 4 control the crossroad or release of the succeeding(a) series. 1)n=1? 25n-1 2) n=1? 1n3n 3) n=1? 13n difficulty 5 subside the sum of the following geometrical series, when they are convergent. 1)1+16+162+163+. 2)1+123+126+129+. 3)132-134+136 . 4)1+326+3462+3663+. puzzle 6 29(577) Problem 7 33(577)