Calculus question and answers for September 28, 2023
- Q Suppose a conic section passes through the point 2 6 If the conic section has focus 0 3 directrix 4 then it is a ellipse parabola hyperbola O cannot be...
- Q You owe 302 87 on your credit card Your average daily balance is 112 98 the billing cycle is 35 days and the interest rate on the credit card is...
- Q 10 9 8 7 6 5 4 The focus F is at 1 2 486 7 65 721 2 3 5 7 8 9 10 The directrix has equation y...
- Q Suppose a parabola has equation 24 y 3 x 8 1 The vertex is at The focus is at and directrix is
- Q 8 8 Say that a helicopter is hovering 1 2 mile above a road It tracks a car moving away from it and measures that the distance z between it...
- Q 5 Throughout this problem you need to use Calculus for your solu tions No credit will be given for reading the results off of a graph All solutions must be...
- Q Consider the ellipse with equation The semimajor axis has length 5 The semiminor axis has length 3 The focal length is 4 5 3 The vertices are located at 4...
- Q Suppose a parabola passes through the point 55 horizontal directrix The directrix will have equation The equation of the parabola will be 61 has focus at 7 6 opens upward...
- Q Use the power series for f x arctan x to approximate the value using R 0 001 Round your answer to three decimal places N arctan
- Q x 11 Let f x 24x 3 a Find the critical value s of f x b Find the interval s on which f x is increasing decreasing c Determine...
- Q For all Taylor polynomials Pn x that approximate a function f x about x a Pn a f a False True 11
- Q Find the derivatives of the following functions You do not to simplify your answers a f x ln x x 3t 1 b g t 4 sin t c h...
- Q If y then all line segments comprising the slope field will hae a non negative slope O True
- Q 2 Let f x x 2 Show that f x 2x using the definition of the derivative No credit will be given for using the short cut rule
- Q 5 25 3 For 5 5 24 10x x Part A Determine if long division will be used for this integration and justify your answer 5 points Part B Simplify...
- Q Use the definition of the Taylor series to find the first four non zero terms of the Taylor series about 7 5 for f x
- Q the power series Cn x 1 diverges for x 2 then it diverges for x 5 O True False
- Q A cone will be inscribed in a sphere of radius 10 in Part A Find the exact dimensions of the cone of largest volume that will fit inside the sphere...
- Q Suppose s t t t on the interval 0 3 What is the displacement on 0 3 O 6 O 3 O 3 O 6
- Q Convert x y 5 25 to polar form X Drag and drop an answer to each box to correctly complete the equation r 10 5 5 10 sin cos
- Q 7 1 Determine the volume and surface area of the closed cylinder below Surface Area 2rr 2nrh Volume Base area h MARKED BY D 7 2 10cm INFORM A rectangular...
- Q 8 Solve for x 2x 10 48 9 Solve for x 102 38
- Q Find a power series for the function centered at c 3 c 2 2x 1 f x n 0 Determine the interval of convergence Enter your answer using interval notation
- Q 3 Analyse and then sketch the function 3x x 7x 2 a Determine the asymptoles b Determine the end behaviour and the Intercept Find the critical points and the points...
- Q APPLICATIONS 39 Leaning Ladder A 20 ft ladder is leaning against a building If the base of the ladder is 6 ft from the base of the building what is...
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