Calculus question and answers for January 01, 2024
- Q Find the maximum value of s xy yz xz where x y z 15 The maximum value is www
- Q 2 Find the average distance from a point P x y in the disk x y 9 to the origin The average distance is 2 Simplify your answer
- Q a The curvature of the helix r t a cost i a sin t j bt k a b 0 is k 2 a b The largest value x can...
- Q Find the line integral along the given path C f x y dx where C x t y 9t 2 for 0 st 7 x y dx
- Q x 10x 12 x x 2 3x 3 Determine the correct partial fraction decomposition for the expression above Enter your answer as the sum of fractions with a constant in...
- Q Find the curl of the vector field F F 5xy z i 3yz x j 2xz y k curl F i k www
- Q The result is calculated as follows 1 x 7 10 dx 107x17 10 1 X 0 F 1 F 0 0
- Q Therefore an antiderivative of f x x7 10 is found as follows x17 10 F x x17 10
- Q Consider the following graph YA B y 2xy The function in the graph is a solution of one of the following differential equations A y 1 xy 0 C y...
- Q 1 Consider the data below for a car tire with a leak Minutes after the leak began Pressure of air in the tire in kilopascals kPa 0 400 5 335...
- Q 2 For the function f x x 3x 2 Use the graph of the function to estimate the instantaneous rate of change at x 2 by drawing a tangent line...
- Q 3 Evaluate each limit if it exist a x 8x lim X 3 2x 1
- Q 4 What is the fundamental difference between average rate of change and instantaneous rate of change Use the concept of tangent and secant lines to explain
- Q Write out the form of the partial fraction decomposition of the function as in this example Do not determine the numerical values of the coefficients a x5 4 x x...
- Q Find an equation of the curve that passes through the point 0 6 and whose slope at x y is y 36
- Q f f t f t dt where f is the function whose graph is shown Let g x 3 g 5 g 6 2 1 2 3 a Evaluate g...
- Q The table below shows the number of accidents fatalities hours flown and miles flown for a country s airlines with scheduled service in selected years Complete parts a and b...
- Q Finding the Projection of u onto v In Exercises 37 38 39 40 41 42 43 and 44 a find the projection of u onto v and b find the...
- Q Finding the Angle Between Two Vectors In Exercises 11 12 13 14 15 16 17 and 18 find the angle between the vectors a in radians and b in degrees...
- Q Finding Dot Products In Exercises 3 4 5 6 7 8 2 and 10 find a u v b u u c v d u v v and e u...
- Q A graphing calculator is recommended A hawk flying at 19 m s at an altitude of 228 m accidentally drops its prey The parabolic trajectory of the falling prey is...
- Q Evaluate the definite integral 1 2 6 21 dr 1 2
- Q A graphing calculator is recommended Find the general indefinite integral Use C for the constant of integration cos x 2x dx Illustrate by graphing several members of the family on...
- Q Evaluate the integral R 6 S sec 0 tan 0 de
- Q Evaluate the integral 0 2 cos 0 de
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