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Q4. CALCULUS II /MATH ASSIGNMENT # Q2. For the following set of parametric equations y = 0 - 50; x = 202 Compute the first derivative and the second derivative and then base on the second derivative r 2. (4 pts each) Write a Taylorseries for each function. Do not examine convergence. (a) f(x) = 11 + x , center = 5 (b) f(x) = x ln x, center = 2 1. Let f(x, y, z) = xyz +x+y+z+1. Find the gradient vf and divergence div(v/), and then calculate curl(v/) at point (1,1,1). 2. Evaluate the line integral R = Scy?dx + rdy, where C is the arc of the p What is the rate of change for f(x) = 7 sin x-1 on the interval from x = 0 to x = pi/2A)14/pi B)pi/14C)pi/4D)4/pi In a triangle with integer side lengths, one side is two times as long as the second side and the length of the third side is 22 cm. What is the greatest possible perimeter of the triangle?" which molecule most likely has an electron deficient central atom? what do the strongly connected components of a telephone call graph represent? Leo Corp., a mobile manufacturer, attains competitive advantage over its rivals by providing unique features in the phones they manufacture, such as a 3000 mAh battery, facial recognition software, and customized applications. Which of the following is Leo trying to attain through these additional product features?A. Service standardizationB. Mass customizationC. Product depreciationD. Product differentiation question content area using the following information: the bank statement balance is $4,690. the cash account balance is $5,080. outstanding checks amounted to $715. deposits in transit are $1,020. the bank service charge is $40. a check for $72 for supplies was recorded as $27 in the ledger. prepare a bank reconciliation for miller co. for august 31. Thanks in advance!Question 12 25 pts The equation below defines y implicitly as a function of x: 2x + xy=3y Use the equation to answer the questions below. A) Find dy/dx using implicit differentiation. SHOW WORK. B .Although it seems counter-intuitive, one way to strengthen a customer relationship is to recommend:A) that the customer purchase large volumesB) that the customer purchase from another sourceC) that the customer pay a higher priceD) that the customer be dropped if it is not profitableE) the the customer be given presents provide the solution of thisintegral using partial fraction decomposition?s x3-2 dx = (x2+x+1)(x2+x+2) x+4 12 2x+1 + arctam 7(x2+x+2) 777 ar regar 2 2x+1 :arctan 3 +C the wind on any random day in bryan is normally distributed with a standard deviation of 7.8 mph. a sample of 16 random days in bryan had an average of 15mph. find a 92% confidence interval to capture the true average wind speed in three decimals. solve the initial value problem. dy/dx=x^2(y-4), y(0)=6 (type an implicit solution. type an equation using x and y as the variables.) quick service restaurants have increased in popularity because of what do you think would be the most challenging part of investigating a fire or explosion crime scene? why? do you think search warrants should be required for fire scenes? why or why not? do you think more countries should adopt the practice of putting color coded chips in explosive materials? why or why not? why do you think crime scenes involving homemade bombs have increased? why do you think the procedures are different from normal crime scenes to those involving fire and explosions? what benefits or challenges are there because of these different procedures? declare two integer variables named profitstartofquarter and cashflowendofyear. Which dimension of effective advertising represents the "art" part?A) strategic dimensionB) personal dimensionC) creative dimensionD) media dimensionE) audience dimension Which is not a process norm that underpins high performance?Multiple Choicecollaborationconfidencecooperationconflictcohesion Ineed help graphing number 2 with the given points.2. Explain what each of the followin a. f'(-1) = 0 b. f'(2) is undefined c. f"(1) = 0 d. f'(x) < 0 on (-0, -1) U (2,00 e. f'(x) > 0 on (-1,2) f. f"(x) > 0 on (-0,1) U (2,co) g. F"(x) < 0 on (1,2) 3. S