Calculus question and answers for March 15, 2024
- Q Problem 5 Evaluate the following improper integral el x x2 Problem 5 So dx If the integral does not converge then write divergent Enter your answer symbolically as in these...
- Q Problem 2 Suppose that a sequence is defined by san 2 an Problem 2 a 1 an 1 Assuming that an is convergent find its limit
- Q Problem 1 Suppose that a sequence is defined by a 1 an 1 an 8 To show that a is monotonic using mathematical induction which of the following would be...
- Q Problem 5 Evaluate the following sum 43 1 2 i 1 i 1 i 2 1
- Q oblem 4 Which of the following sequences converge 1 1 n n 6 i an 1 1 n 8 ii an iii an cos 2n 1 2 iv an sin...
- Q Problem 2 Evaluate the following integral 4 1 x 5 x 6x dx
- Q em 1 Suppose that a sequence is defined by a 1 an 1 1 a 8 To show that a is monotonic using mathematical induction which of the following would...
- Q roblem 3 Find the limit of the following sequences a a ln 5n 5 In 6n b a n sin 8 n If the sequence does not converge then write...
- Q a Express each of the following numbers as a product of prime factors in index notation 1 25 ii 150 2x3x5 FEEDEC 2 marks b If the L C M...
- Q Find the extremals for the following functional f y 2y dx
- Q 1 Write 7 3 without exponents Use the equation editor by clicking insert math above or take a photo of what you wrote and upload it
- Q 1 a Find the vertical Asymptote b Find the Horizontal Asymptote end behavior 5x 6 4 2x 1 x 5 2 3 x 4x 10x 2 x 5x x 4...
- Q A plane is going to fly 300 miles at a planned speed of 530 mph The flight will have an average headwind of w miles per hour the entire time...
- Q Use division to justify the expression that describes the end behavior for f x a Approaches y 0 b Approaches y 3x 10 C Approaches y 3x 2 d Approaches...
- Q In a biology lab 500 bacteria reproduce by splitting Every hour on the hour each bacterium splits into two bacteria 30000 20000 10000 What is a reasonable domain for the...
- Q 3 Match the graph of each function in a d with the graph of 3 Match the graph of each function in a d with the graph of its derivative...
- Q 3 Match the graph of each function in a c with the graph of its derivative in I III 3 b 0 X c 0 111 0 0 II
- Q Find the extremals for f y dx subject to the condition Sydx 3 y 0 1 y 1
- Q Reduced the BVP y xy x with y 0 y 1 0 into a variational problem
- Q B G R Match each equation with a graph above y 2 0 84 y 2 0 75 y 3 1 29 y 2 1 54 y 2 1 29...
- Q often depe only the size of the population but also on how crowded it is When individuals have to compete for resources etc they cannot invest in reproduction leading to...
- Q Shari has an electronic entry system on her house To enter one must input a six character code where the first four entries are letters of the alphabet A through...
- Q Problem 1 Let f x 4x 2 and g x x 2 a Find the solutions to the equation f x 3 b Find the domains of f and g...
- Q x x 2 Problem 3 Let f x 4 7 3 a Is this function continuous at x 1 b Find lim 1 f x c Can we define f...
- Q Problem 4 Let f x x log x 1 a Find the local and global extrema of f x b Find the local and global extrema of f x in...
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