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Consider the curve with parametric equations Determine all the ? x and ? y intercepts. (b) Use derivatives to determine the points where the curve has horizontal tangent lines and vertical tangent lines. (c) Sketch the graph. Indicate the direction wi
4. (12) Consider the parametric equations. Find the points with a horizontal or vertical tangent line by providing their coordinates. (x = 3sin(2t) ly = 2 cos(t) ost s 21,
1. Sketch the curve given by the parametric equations: (please use dashed lines on graph f or t beyond ) by eliminating the parameter ?. Label the direction a point on the curve moves as ? increases. PLEASE GIVE FULL WORKING FOR THE QUESTION. We were unable to transcribe this image4
Find dy/dx. Find the points on the curve where the tangent is horizontal or vertical. x = t3 - 3t, y = t2 - 6
Let f(x) = 2-1 a) Find X and Y intercepts. b) Determine vertical and horizontal asymptotes if any. c) Calculate f'(x) and determine on which intervals f(x) is decreasing and increasing. d) Find local minimum and maximum. e) Determine concavity intervals and inflection points of f(-x) f) Plot the function. y
Use the graph to determine a. the function's domain; b. the function's range, c. the x-intercepts, if any, d. the y-intercept, if any, and e. the missing function value, indicated by the question mark, below. 4- f(1) = ? 10 a. The domain of the function is (Type your answer in interval notation.) b. The range of the function is . (Type your answer in interval notation.) c. Determine the x-intercept, if any. Select the correct choice below and fill...
Use the graph to determine a. the function's domain, b. the function's range, c. the x-intercepts, if any, d, the y-intercept, Wany, and e. the missing function value indicated by the question mark below (9) ? a. The domain of the function is (Type your answer in interval rotation) b. The range of the function is Type your answer in interval notation) c. Determine the x-intercept if any Select the correct choice below and fill in any answer boxes within...
Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function value, indicated by the question mark, below. f(9) = ? 15 10 LINIII HT a. The domain of the function is (Type your answer in interval notation.) 5. The range of the function is . (Type your answer in interval notation.) c. Determine the x-intercept, if any. Select the correct choice below...
Question 6 14 pts Consider the curve C defined by the parametric equations: x f(t) y= g(t) = sint -t costt (d) Which picture shows the curve C? Recall the curve C is defined by : x= f(t) cos t g(t) = sint - t y 20 20 10 10F 0 -10 -10 -20 -20 -20 10 -20 10 C 20 -10 0 10 (i) (ii) X 20 20 10 10 0 0 10 -10 -20 -20h -20 10 -20...
4.Consider the curve described by the parametric equations x= sin(t)=cos2(t) ,y= sec(t). Verify that all points on this curve satisfy the equation x^2+y^2=y^4
3. Graph the region bounded by the parametric curve x cost and y = et where 0 t Find the length of the curve. b. Find the surface area of revolution when the region is revolved around the y -axis. a. 3. Graph the region bounded by the parametric curve x cost and y = et where 0 t Find the length of the curve. b. Find the surface area of revolution when the region is revolved around the y...