Which of the following straight lines are tangent to the curve y = x³ + 4x2 + 7x and passes through the point (0 , 0)? (1) y = 7x (II) y = - 11x (III) y = 11x (IV) 3x + y = 0 (V) 3x - y = 0 O Lines I, and V O Lines I, and II O Lines II , and IV O Lines III , and IV Only Line I

Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: Which equation could represent a graph with x -intercepts of (4, 0) and (-7, 0) ?

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Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

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Q: Imeter) Y ( meter) POINT 1 1254,72 2951,76 2 1362,50 3205,13 3 1578,94 3713,80 4 1843,68 4335,92

A: A table of data is given, and the general equation of a line is y=ax+b. Here, a is the slope, and b…

Q: Bonus) Find the equation of the secant line that passes through f(x) = -(x + 2)² at (2, f(2)) and…

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Q: 18. A line passes through the point (-3, –2) and has slope 2. What is an equation of the line? Fy=2x…

A: We will find the equation of the line which passes through the given point and has a slope 2 in the…

Q: Find equations of the tangent lines to the curve y²-xy-6=0 at the points (-1,2), and (-1,-3).

A: Given curve: We have to find the equations of the tangent line to the curve  at the points  and

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: i am having trouble with  finding the x-intercept of  y = x3 + 2 (-1.26, 0) is the closest i got

A: To determine the x-intercept, we set y equal to zero and solve for x.

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

A: for horizontal tangent,  dy/dx =0