7. Let f(r) = rª + 3r – 2. a In view of the fact that f(0) = -2 and f(1) = 2, why would you expect the equation r + 3r – 2 = 0 to have at least one real root? b explain why the graph of ƒ has no horizontal tangent. c Why would you suppose it follows from part (b) that the equation r°+3r-2 = 0 has no more than one real root?

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=16 is 5x+8y=56…

A: It is given that, an equation of the tangent line to y=g(x) at x=16 is 5x+8y=56.

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A: Given that at x=25, 2x+12y=-34 is a tangent. for x=25, 2(25)+12y=-3450+12y=-3412y=-84y=-7This means…

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Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

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A: We have to find the equation for the tangent line to the given curve.

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Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 6x + 8y…

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Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=16 is 2x+9y=−4…

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A: Given that: y=x+5x

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Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: Find the equation of line tangent to the curve y= x+ - at point P(1,3) A 4x + y - 7 = 0 В) 4х - у -7…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: Find the equation of the line tangent to y 8xe" at x = 1. O y -8e = 16e(x – 1) O y - 8e = 8e(x – 1)…

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Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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Q: The points at which the graph of the equation 8x2+ y² – 16x + 8y + 8=0 has horizontal tangent lines…

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Q: 8. Consider the curve given implicitly by -x2 + 3xy+2y² = 2 y. 8.1. Verify that (1, –1) lies on the…

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Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=4 is 4x+7y=−54…

A: Given The tangent line to the graph of y=gx at x=4 is given by 4x+7y=-54

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Q: Find the values of a and b for the curve x2y +ay2 = b if the point (2, 2) is on its graph and the…

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Q: Find the values of a and b for the curve x²y+ay²=b if the point (1,1) is on its graph and the…

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Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=25 is 4x+6y=70…

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Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: 8.2. Find an equation for the tangent line to this curve at (1, -1). 9. Suppose 4 x² + 9 y² = 36…

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