{"id":23571,"date":"2022-01-08T06:55:00","date_gmt":"2022-01-08T06:55:00","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/math-calculus-7e-total-21-questions-need-detail-step-and-correct\/"},"modified":"2022-01-08T06:55:00","modified_gmt":"2022-01-08T06:55:00","slug":"math-calculus-7e-total-21-questions-need-detail-step-and-correct","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/math-calculus-7e-total-21-questions-need-detail-step-and-correct\/","title":{"rendered":"Math calculus 7e total 21 questions, need detail step and correct"},"content":{"rendered":"
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1. Find the absolute minimum and absolute maximum values of f<\/em> on the given interval. \u00a0\u00a0f<\/em>(x<\/em>) = ((x^2)<\/em> \u2212 1)^3, [\u22121, 4]\u00a0<\/p>\n

\u00a0absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0)<\/p>\n

2. Find the absolute maximum and absolute minimum values of f<\/em> on the given interval.<\/p>\n

f<\/em>(t<\/em>) = 2 cos(t<\/em>) + sin(2t<\/em>), [0, \u03c0<\/em>\/2]<\/p>\n

absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0)<\/p>\n

3. Find the absolute minimum and absolute maximum values of f<\/em> on the given interval.<\/p>\n

f<\/em>(t<\/em>) = 3t<\/em> + 3 cot(t<\/em>\/2), [\u03c0<\/em>\/4, 7\u03c0<\/em>\/4]<\/p>\n

absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0)<\/p>\n

4. Find the absolute maximum and absolute minimum values of f<\/em> on the given interval.<\/p>\n

f<\/em>(t<\/em>) =t*sqrt (64-t^2) \u00a0\u00a0\u00a0\u00a0\u00a0[\u22121, 8] \u00a0<\/p>\n

absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0)<\/p>\n

5. Find the absolute maximum and absolute minimum values of f<\/em> on the given interval.<\/p>\n

f<\/em>(x<\/em>) = xe^(<\/em>\u2212x<\/em>2\/72), [\u22125, 12]<\/p>\n

absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0)<\/p>\n

6. Find the absolute minimum and absolute maximum values of f<\/em> on the given interval.<\/p>\n

f<\/em>(x<\/em>) = x<\/em> \u2212 ln(2x<\/em>) [1\/2 , 2]<\/p>\n

absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0)<\/p>\n

7. Find the dimensions of a rectangle with perimeter 84 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.)\u00a0<\/p>\n

\u00a0( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0)m (smaller value)\u00a0<\/p>\n

( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0) \u00a0m (larger value)\u00a0<\/p>\n

8. Find the dimensions of a rectangle with area 1,000 m2 whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.)\u00a0<\/p>\n

\u00a0( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0)m (smaller value)\u00a0<\/p>\n

( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0) \u00a0m (larger value)\u00a0<\/p>\n

\u00a09. A model used for the yield Y<\/em> of an agricultural crop as a function of the nitrogen level N<\/em> in the soil (measured in appropriate units) is<\/p>\n

Y<\/em> =KN\/(9+N^2)<\/p>\n

where k<\/em> is a positive constant. What nitrogen level gives the best yield?\u00a0<\/p>\n

N=( \u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n

10. The rate (in mg carbon\/m3\/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function<\/p>\n

P<\/em> =\u00a0120i\/(i^2 + i +4)<\/p>\n

where I<\/em> is the light intensity (measured in thousands of foot-candles). For what light intensity is P<\/em> a maximum?\u00a0<\/p>\n

i= ( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0) thousand foot-candles\u00a0<\/p>\n

11. Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have.\u00a0<\/p>\n

Finish solving the problem by finding the largest volume that such a box can have.\u00a0<\/p>\n

V=( \u00a0\u00a0\u00a0)ft^3<\/p>\n

12. A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount of material used.\u00a0<\/p>\n

\u00a0sides of base =( \u00a0\u00a0\u00a0\u00a0\u00a0)m<\/p>\n

\u00a0height \u00a0=( \u00a0\u00a0\u00a0\u00a0\u00a0)m<\/p>\n

13. If 1,200 cm^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.\u00a0<\/p>\n

( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0)cm^3<\/p>\n

14. (a) Use Newton’s method with x<\/em>1 = 1 to find the root of the equation\u00a0<\/p>\n

x^3<\/em> \u2212 x<\/em> = 4<\/p>\n

correct to six decimal places.<\/p>\n

\u00a0x<\/em> = ( \u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n

\u00a0(b) Solve the equation in part (a) using x<\/em>1 = 0.6 as the initial approximation. \u00a0<\/p>\n

x<\/em> = ( \u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n

\u00a0(c) Solve the equation in part (a) using x<\/em>1 = 0.57. (You definitely need a programmable calculator for this part.)\u00a0<\/p>\n

x<\/em> = ( \u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n

15. Use Newton’s method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.)<\/p>\n

3 cos x<\/em> = x<\/em> + 1<\/p>\n

\u00a0x<\/em> = ( \u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n

16. Use Newton’s method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.)<\/p>\n

(x<\/em> \u2212 5)^2= ln(x<\/em>)<\/p>\n

x=( \u00a0\u00a0\u00a0\u00a0)<\/p>\n

17. Use Newton’s method to find all real roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.)<\/p>\n

8\/x=1+x^3<\/p>\n

x=( \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0)<\/p>\n

18. A particle is moving with the given data. Find the position of the particle.<\/p>\n

v<\/em>(t<\/em>) = 1.5*sqrt(t) \u00a0\u00a0\u00a0\u00a0s<\/em>(4) = 13\u00a0<\/p>\n

s(t)=( \u00a0\u00a0\u00a0)<\/p>\n

19. Find f<\/em>.<\/p>\n

f<\/em> ”<\/em>(\u03b8<\/em>) = sin(\u03b8<\/em>) + cos(\u03b8<\/em>), f<\/em>(0) = 2, f<\/em> ‘<\/em>(0) = 3<\/p>\n

\u00a0f<\/em>(\u03b8<\/em>) = ( \u00a0\u00a0\u00a0)<\/p>\n

20. Find f<\/em>.<\/p>\n

f<\/em> ”<\/em>(x<\/em>) = 4 + cos(x<\/em>), f<\/em>(0) = \u22121, f<\/em>(7\u03c0<\/em>\/2) = 0<\/p>\n

\u00a0f<\/em>(x<\/em>) = ( \u00a0\u00a0\u00a0)<\/p>\n

21. Find f<\/em>.<\/p>\n

f<\/em> ”<\/em>(t<\/em>) = 3e^t<\/em> + 8 sin(t<\/em>), f<\/em>(0) = 0, f<\/em>(\u03c0<\/em>) = 0<\/p>\n

\u00a0f<\/em>(t<\/em>) = ( \u00a0\u00a0\u00a0)<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

1. Find the absolute minimum and absolute maximum values of f on the given interval. \u00a0\u00a0f(x) = ((x^2) \u2212 1)^3, [\u22121, 4]\u00a0 \u00a0absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute maximum( \u00a0\u00a0\u00a0) 2. Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t), [0, \u03c0\/2] absolute minimum( \u00a0\u00a0\u00a0) \u00a0\u00a0absolute […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-23571","post","type-post","status-publish","format-standard","hentry","category-education"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/23571","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=23571"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/23571\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=23571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=23571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=23571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}