Given the equation of curves: y = x2 + 7x + 6 and x - 2y = 6. Find the slopes of the tangents of the curve drawn at the point of intersection?

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 an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: Find the equation of the curve that passes througH dy 5x 7. dx నా

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Q: b. Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: According to guidelines we should have been able to solve only one question at a time #b

Q: find the slope intercept form of the equation of the line that has given slope passes through the…

A: In this question we have to find the slope intercept form of the equation of the line that has given…

Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Determine the turning points and point of inflexion for the curve y = 2x +3x2 -12x+7.

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Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: What is the slope of any line parallel to the line y-3=3/2(x+1)?

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Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: From the point (0, –5), tangent lines are drawn to the circle (x – 7)2 + y = 4. Find the slope of…

A: Equation of line passing through point (x1,y1) and slope m  (y-y1) = m (x-x1)

Q: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

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