What is the aes bounded by the curve y3E betweenx-0nd 4, sbove the xis 4) 16 square units b) 48 square units 32 square nits 4) 8 square nits

Q: Find the equationof line through(iloy)and hawing Of inclinatron ☺ = 60 an

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Q: x+2 What is the equation of the normal line of y = at the point x = 1? 2x+1

A: Let us consider function y=f(x) The normal line of function y=f(x) at point x0 is given by formulae:…

Q: What is the distance from point H(6, 10) to K(-4, 2)?

A: Distance

Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: Arc length is defined as the distance between two points on the curve. It is done in such as way…

Q: Find equations for two lines through the origin that are tang net to the curve x²-4x+y²+3=0 .

A: We have given equation of curve x2-4x+y2+3=0. We also know that the slope of the line will be the…

Q: 2. (6 marks) Find the slope of the line tangent to f: y = 2/5x + 1 at the point (3,8). c) - D) E) -…

A: Answer and explanation is given below..

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then…

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Q: Why was it not taken into account that the maximum distance between two points is a/3? and can you…

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Q: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

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Q: Show that the square of the length of subtangent at any point on the curve by 2 = (x+a)3,(b is not…

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Q: Find the center of the circle(s) tangent to 5x – 2y – 1 = 0 at (1, 2) with a radius of 3. Express…

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Q: z-3 = and L2: 3 Find distance between lines (L₁:1=¹= x-3 3 = +1 Z-2 -2 8 =

A: This question can be solved using the concept of shortest distance between two lines.

Q: What is the length of the curve y= x3/2+4 from the point (1,5) to (4,12)?

A: If y=f(x) be the curve that lies on the xy plane, then its length from x=a to x=b is given by…

Q: Find the distance from the point (1,–4,2) to the line x=2+t, y =-2+2t, z = 4 –t Try not to use any…

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Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

Q: What is the distance from point to the line 18/0 23 2√6 3 V30 3 P(1,1,1) [2+t] 1-4 = 2-t 3 + 2t

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Q: Fina the are a bounded ナトe fo llo Wing Curves 16-X2.こ0メニ メ33

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Q: Q1)a) Find line that are tangent the curve x + xy = 1 at the point (-1,0)

A: The given equation of the curve is x2+xy=1 and the point is (-1, 0). Evaluate the slope of the…

Q: Find the derivative of y = In{(7x³ + 4) V3x + 10}

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