QI. Find the length of the of the curve from x = 0 tox = 3.

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: Find the exact length ot the curve

A: We have to find arc length of a curve  in a given interval .Curve is defined below:

Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

A:

Q: 4. If XY = 78 miles and mXY = 70°, then determine the radius of circle H. %D %3D Y

A:

Q: r = 3sin(Ɵ) Draw the curve, explaining it down to the smallest detail.

A: Given equation is r=3sinθ We have to draw the curve of r=3sinθ. First of all convert the given polar…

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: Given the x²-xy +y² = 9 %3D Curve Write general expression for the Slope curve.

A: The given equation of curve is x2-xy+y2=9. Differentiate both sides of the above equation with…

Q: 1. T WHAT POINT 18 9the slope o the cUTve

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: 31° C D

A: Given:

Q: At the given point, find the slope of the curve, as requested. the line that is tangent to the…

A: Given To find the slope of the curve , take derivative Given point is (0,1)

Q: Find an equation of the tangent line to the graph at the given point. x?y2 - 9x² – 4y² = 0, (4, 2/3)

A: Given equation of function:

Q: of the indicated portion of the curve. K.

A:

Q: If x is the length of a tangent segment in the diagram,find the values of x and y.

A: We know that,  tangent-secant theorem describes if a tangent segment and a secant segment are drawn…

Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: Find the exact length of the curve. y? = 16(x + 1)³, 0 0

A: The given curve is y2=16(x+1)3,y&gt;0y=4(x+1)32 Now, differentiate y with respect to x.…

Q: Find the exact length of the curve over the given interval. y? = 4(x + 4)*, along 0 0.

A: we have to find the exact length of the given curve

Q: 1+lпx Y:

A: the given equation of the curve is: y=1+lnxx we have to solve and sketch the given curve.

Q: For what values of a and b is the line – 2x + y = b tangent to the curve y = ax? when x = 3? - - a =…

A: Given: To determine the values of a and b is the line -2x+y = b tangent to the curve y=ax2 when x =…

Q: Find a curve y = ae* to the data : bx

A:

Q: For what values of a and b is the line 5x + y b tangent to the curve y ax³ when x = 2? a = b

A: Given curve , y=ax3-1 at x=2and given line 5x+y=6-iiwe have to find the values of a and b such…

Q: Determine the equation of the line tangent to the curve at the given point. y = In(x? – 5x + 1), (5,…

A:

Q: 2. Draw the tangent lines at each of the given points A, B and C. A B

A: Objective is to draw tangent at point A, B and C in the given figure . Given figure:

Q: Find the value of x and the length of ST. ST and SR are tangents. 9х- 39 6x

A:

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

A:

Q: Which of the lines in Figure  are tangent to the curve?

A: Given, A curve with lines A,B,C,D from geometry we can define tangent as a tangent line on a plain…

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

A:

Q: For what values of a and b is the line 2x +y= b tangent to the curve y = ax' when x = -5? a = b =…

A:

Q: y-e-x4cos4x ស

A:

Q: Find the length of the curve: r = 4cos³(0/3),0 < 0 < ? 2

A:

Q: Suppose pis the ine with equation y=1 and qis the line with equation y3. Write the following…

A: Plot the lines y = 1 and y = 3.

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

A:

Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: Use the guidelines of this section to sketch the curve.

A:

Q: 7. Find the length of the curve y= x'+ I from x = 1 to x . 12x Give your answer as a simplified…

A:

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

A:

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

A:

Q: Solve the problem. Find the length of the curve y = In(csc x), 7/4 T/2 VI E

A:

Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

A:

Q: Find an equation of the tangent line to the graph at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

A:

Q: Ex. 2: Find the length of the 2/3 curve

A:

Q: 24xy = y* + 48 dr y = 2 ke y = 4 а.

A:

Q: For what value of c is the curve y = c/(x + 1)tangent to the line through the points (0, 3) and (5,…

A:

Q: For what values of x do the tangents to the curves y = (1 +x')² and y = 2r6 have the same slope? X =…

A:

Q: Find the length of the curve r

A:

Q: Find the exact length or the curve 2.

A: The given curve C is as shown on the white board. Length, L is given by the standard formula shown…

Q: For what value of the constant k is the line x+y=k normal to the curve y=x^3

A:

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.