Let C be the curve described by F(t)=(√t-1,e²t, √Int) a) Determine the domain of 7. b) Determine. lim. lim r(t). 1+1+ c) For what values of t is the vector function continuous? d) Find 7'(t).
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- Question 3 Find the points on the curve c where the tangent is vertical C: x= - 48t, y = t+ 12t. ОА (-128, 64), (128, - 32) ОВ. (-72, 108) OC. (4, 6) OD. (4, – 128), (-4, – 32) O E. (-4, 4), (-72, 108)Give the coordinates of X-intercept for the line y = 2(x – 1) +7. |Hide hint for Question 1 Be sure to fill in the blank with the coordinates of the x-intercept in the form (a, b). Use a space after the comma!3 Find the x-coordinates of all points on the curve y = (-x + 8x - 7) with a horizontal tangent line. X = (Use a comma to separate answers as needed.)
- opg-56-59, #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.) g(x)=√√x+2, P(-1, 1) P(4, 5) d.) fox) = -52 .P (4.¾/2) #9.) Sketch the graph of the following -√x+1, if x 1 b) find all valves at which the function is discontinuous c. Find the limits at those values, if they exists #10) Determine wether f(x) = x²+2x-8 is continuous of x=-4 x +4Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2 cose, y = -2+ sine. Select one: a. horizontal tangent: (8,-2), vertical tangent: (6, -1) b. horizontal tangents: (8, -2), (4, -2), vertical tangents: (6, -1), (6,-3) C. horizontal tangents: (6,-3), (6,-3), vertical tangents: (8,-2), (4, -2) d. horizontal tangent: (6, -1), vertical tangent: (8,-2) e. horizontal tangents: (6, -1), (6, -3), vertical tangents: (8,-2), (4,-2)How to determine enclosed curves?
- Consider the function f(x) = 4x – x2 and the point P(2, 4) on the graph of f. Part A) Graph f and the secant lines passing through P(2, 4) and Q(x, f(x)) for x-values of 3, 2.5, 1.5. part B) Find the slope of each secant line. Part C) Use the results of part (b) to estimate the slope of the tangent line to the graph of f at P(2, 4).Describe how to improve your approximation of the slope.fx) = -x² + 5 6. (-1,4), (2, 1) -4 4 Consider the graph of the function f (x) = -x? + 5. a) Find the slope of the secant line joining the points (-1, 4) and (2,1). The slope is b) Use Mean Value Theorem to find a point c in the interval (-1,2) such that the tangent line at c is parallel to the secant line joining the points. c value isUse implicit differentiation to find the points where the parabola defined by