Calculus question and answers for August 28, 2023
- Q Find the indicated derivatives using the following information f 9 1 f 9 1 g 9 5 g 9 3 fg 9 2 f 9 9 0 08 X
- Q T Find an equation of the tangent line to f x 7 cos x at x 3 Let y f x and express the equation of the tangent line in...
- Q If f x 2x 5x 3 find f 4 21 Use this to find the equation of the tangent line to the parabola y 2x 5x 3 at the poi...
- Q A large koi pond is filled from a garden hose at the rate of 14 gal min Initially the pond contains 400 gal of water a Find a linear function...
- Q 7 Compute the curvature of the curve defined below at the stated point k 11
- Q Compute the curvature of the curve defined below at the stated point r t ti j t k t 1
- Q 9 Consider the curve defined below Find T t and N t to the curve at the given point r t ln sin t i j tk t 6
- Q 1 Match each vector equation with its graph i r t 2 i tj tk iii r t ti t j ek U ii r t ti tj sin at...
- Q se Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint If an answer does not exist enter DNE f x y z...
- Q The amount of trash in a county landfill is modeled by the function T x 180x 32 000 where x is the number of years since 1996 and 7 x...
- Q tomework Decide whether the given is an ic 0 3 x 3 0 5 x 3 0 2x equation 0 6
- Q Radian 0 26 KIN SE X Degree EN 5 2
- Q Find the angle 9 where 0 0 satisfying tan 9 3 A 5 6 B 27 3 C TV3 D T 6
- Q 1 2 Terminal Points A point P x y is given a Show that P is on the unit circle b Suppose that P is the terminal point determined by...
- Q 13 a tan 5T 2 lopouls corsi b cot 5 T 2
- Q 4 1kg 10 9 8 7 6 5 4 3 2 1 0 1 2 T 4 2kg 3 4 5 6 4kg 7 As shown above there are 3...
- Q Let C be the CCW unit circle centered at the origin In each case do the following i Find the domain of F ii Calculate F T ds by hand...
- Q a Graph the sine and cosine functions b What are the amplitude period and horizontal shift for the sine curve y a sin k x b and for the cosine...
- Q 11 a What is simple harmonic motion b What is damped harmonic motion c Give real world examples of harmonic motion
- Q 49 52 Evaluating Expressions Involving Inverse Trigonometric Functions Find the exact value of each expression if it is defined 49 sin 1 50 cos 51 sin sin 13T 6 11141...
- Q 5 a What is an even function and what is an odd function b Which trigonometric functions are even Which are odd c If sin t 0 4 find sin...
- Q 18 tant sec t cos t 19 tan t sin t t in Quadrant IV
- Q 29 36 Horizontal Shifts A trigonometric function is given a Find the amplitude period and horizontal shift of the func tion b Sketch the graph 29 y 10 cos x...
- Q cot Start by drawing two consecutive asymptotes Between those asymptotes plot three points a point where the graph intersects the x axis point to its left and a point to...
- Q A pole leans away from the sun at an angle of 7 to the vertical as shown in Figure 27 When the elevation of the sun is 55 the pole...
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