• Given r(t) = <3 - t, (1 - t)² - 2 > • sketch the curve where 0

Q: Determine the slope of the curve x² + y? – 6x – 4y – 21 = 0 at the point (0,7). - а. 3/5 b. -3/5 с.…

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Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

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Q: Can you please answer this question and show all of the steps and say the correct letter

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Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ &lt; t &lt; ∞.

A: Given: x=3+2t y=-12-6t            - ∞ &lt; t &lt; ∞ To find: curve generated by given functions.

Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: y=11-x Also, the given Slope is -1

Q: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: Determine the derivative for function y in terms of y and x. The derivative y' is equal to slope m.…

Q: Trace the curve x 3 − 6x 2 + 11x − y = 6

A: As we are allowed to answer only one question in one session so i have answered first one for you.…

Q: Q3\ Sketch the graph of the curve 1) y=x² +1

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Q: For the curve7(x) =x + x, find the slope of Mpo of the secant line through the points P= (1, f(1))…

A: Given curve is We know that slope of secant line joining points P(1,f(1)) and Q(4,f(4)) is

Q: Draw the following intervals on the number line. 1. [ -1, 4] 2. (4, 3p) 3. [ -2, 12) 4. [1, 32] 5.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get