3. and the line perpendicular Find the area of a triangle bounded by the y axis, the line f(x) to f(z) that passes through the origin. = 10

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: Here given curve  by2=x+a2

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: show that the square of the length of subtangent at any point on the curve by2=(x+a)3(b is not equal…

A:

Q: The graph of g consists of two straight lines and a semi -circle. Use it to evaluate each integral.…

A: From 2 to 6 there is the semi-circle below the x-axis Since it is below the x-axis, so its area will…

Q: A line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: 2 The length of the curve y = 312 between x = 0 and x = 1 is 3 %3D %3D

A: Answer is 4√2/3 unit.

Q: 9. Find the angles at which the curve y =x - x intersects the x-axis.

A: Given: The curve y=x3-x intersects the x-axis

Q: Find the length of the following curve. 3 2 y = 4x from x = 0 to x= 2

A:

Q: If the length of the curve y = 3 x7 from the point (0, 0) to the point (xo, f(xo)) is L = 8 , then…

A: Length of curve

Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

A:

Q: 11. Find the distance from the point P(-1,2,-3) to the line given by X = x = 2t y =1+t z = 3t

A:

Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

A:

Q: 2. For what values of the numbers a and b is the curve f(x) = eaz²+bx tangent to the line y = e at…

A:

Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

A:

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

A:

Q: Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not…

A:

Q: 5. Consider the two curves y = x° - 3x + 20x + 88x² + 71x – 74 and y = 2a+ 50x – 22x + 42.x + 31. |…

A:

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: 9. Find the point (x, y) on the line y = 2x + 3 such that the distance from (x, y) to (1, 1) is as…

A:

Q: Find the length of the following curve. 3 y = 2x from x = 0 to x= 1 The length of the curve is

A: Given curve y=2x32 The length of the curve have to be found from x=0 to x=1 The length of curve…

Q: Suppose that the temperature in degrees Celsius at a point (x, y) on a flat metal plate is T (x, y)…

A:

Q: 5. In the standard (x, y) coordinate plane, the midpoint of LM is at (4, –4) and L is at (1,3). What…

A:

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

A:

Q: 2. Find the point on the curve y = VI thats is closest to the point (3,0)

A:

Q: B. Find the length of the curve y= x2 from x = 0 to x = 7.

A:

Q: Find the length of the curve. 30) x = 3 ty 3/2 - y 1/2 from x = 16 to x = 25

A:

Q: 7. Find the length of the curve y = x/4 on the interval [0,8] %3D

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: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

A:

Q: 3 Find the length of the curve y = x² – 2 from x = 0 to x = 4.

A: Given curve is y=x32-2 Upon differentiating we get dydx=32x12 We know that length of…

Q: C is the part of the circle of radius 3 in the first quadrant from (3,0) to (0,3) and F = (1, -y),…

A: Given, C is part of circle of radius 3 in the first quadrant from (3,0) to (0,3) and F=[1,-y] The…

Q: Find the exact length of the curve x=y4/4 + 1/8y2 where 1 is less than or equal too y is less than…

A: Given that           x = y4/4  + 1/8y2 , 1<= y <= 2 Here we have to find the exact length of…

Q: + 2 Find the length of the curve y = from the point where a = 1 to the point where x = 2.

A: The length s of a curve with the function y=f(x) for the interval of x from a to b is given by the…

Q: ii) Prove that the straight line y = x is the curve giving the shortest distance between the points…

A:

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

A:

Q: Find the length of the curve x=e^t -t, y=e^(t/2), -8 less than or equal to t less than or equal to 3

A: The arclength for parametric curves is: L = ∫ab(dxdt)2+(dydt) Given  x=et-t, y =et2,      -8≤t≤3

Q: find the length of the curve on the given interval: y=1/3(x^2+2)^(3/2), [0, 1]

A:

Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

A:

Q: The volume V of a cylinder of height 4 cm and radius r is given by: V = 4ar? What is the…

A:

Q: Find the length of the curve of y=x³/2 from x=1 to x=4.

A:

Q: 15. y= -(x +2)12; x=0 dan x=3 e kadar.

A:

Q: 11. Find the distance between the point (1,0,-1) and the line x = 5 – t, y = 3 t, z = 1 + 2 t.

A: 11) The direction ratio of the lines  = -1,3,2 The direction ration of the point (1,0,-1) and the…

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

A:

Q: 10. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

A:

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

A: