23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and x=7. Find the area of the shaded region. y = 2x-9 Answer: 36 y = x² - 6x – 2

Q: What is the maximum vertical distance between the line y = x + 30 and the parabola y = x2 for -5 s x…

A: given, equation of line is y = x + 30 and equation of parabola is  we have to find maximum vertical…

Q: 14. What is the slope of the curve at the point (0, x²+y-12r +4y = 5 %3D 0-2

A:

Q: Find the length of the curve on y=2x^(3/2) from x=0 to x=1

A: Explanation of the solution is given below...

Q: Find length of curve: y=3x^(3/2) from x=0 to x=4

A:

Q: Find the exact length of the curve. y = 3 + 2x^(3/2), 0 less than x less than 1

A:

Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

A:

Q: 3/2 Find the length of the curve. y = (x* +4)" OSxs2

A: see below the answer and calculation

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: Find the parabola y= ax2+bx+c that passes through (2,1) and be tangent to the line y=2x + 4 at (1,6)

A:

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

A:

Q: Find the shortest distance between the line y - x=1 and the curvex =y.

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this…

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

A:

Q: The x coordinate of the point of intersection between the two curves Y = e2lx and y = 1 is

A:

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

A: Let (x,y) be the point on the given curve which is closest to the point(3,0) where The distance…

Q: Find the point on the Curve y rx that is closest to the point (2,0)

A:

Q: Find the length of the curve y=lnx from x=1.5 to x=3.

A:

Q: b) Find the point on the curve y Vr that is closest to the point (7,0).

A: Find the point to the curve y=(x)^(1/2) that is closest to the point (7,0)

Q: Find the length of the part of the curve y = = between x = 1 and x = 2.

A:

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

A:

Q: b) Find the shaded area of diagram that shecked by curve y =x² + 2x and the line y

A: The area between curves y=f(x) and y=g(x) on an interval [a, b] where f(x)≥g(x) on the interval is…

Q: 3. Find the length of the curve y =x* +÷x¯² from x = 1 to x = 4

A: 3 Given function isfx=y=18x4+14x-2  from x=1 to x=4now we can writen as fx=x48+14x2 on 1,4The lenght…

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

A:

Q: 11. Find the length of the curve y = 2x3/2 x!/2 from x = 1 to x = 4. 2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

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

A: We have to find out the length of curve.

Q: 3) Calculate the length of the curve interval [-2₁2]. y = x²/2 on the

A:

Q: Find the are length of the curve x = (y² + 2)/2 from y-0 to y=1

A: First, calculate dxdy for the equation, x=13(y2+2)32  . Then, use the formula, L=∫ab1+dxdy2 dy to…

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

A:

Q: Find the point on the curve y = Vx +1 that is closest to the point (5,0)

A: We will use second derivative test to find the smallest distance among point (5,0) and curve

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

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: Make the curve y=ax²+bx+ c pass through (2,1) and be tangent to the line y=2x+4 at (1,6)

A:

Q: Find the length of the curve defined by y = 4x3/2 + 11 from x = 2 to x = 8.

A: We will differentiate the function and use the arc length formula.

Q: Find the length of the curve defined by Y=5x^3/2+9y from x=1 to x=8.

A: Given that

Q: i) Find the exact length of the curve x5 1 15 4x3 y= + 1 < x < 2,

A:

Q: Find the length of the curve for 12x = 4y³ + 3y-¹ where 1 ≤ y ≤ 3 Enter your answer in exact form.…

A:

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

A:

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

A:

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

A:

Q: 5. Find the length of the curve x = +22 from y =0 to y=3.

A:

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the…

A:

Q: Find the maximum slope on the graph of f(x, y) = 2 sin(ry) at the point P(4, 0).

A: The given question can be solved as shown in step2.

Q: Suppose that dy xy + x d.x and that the point (5,0) lies on the graph of (x, y). What is the value…

A:

Q: I need to solve this question

A:

Q: Find the length of the curve 3y = (x² + 1) ? from x = 0 to x = 3.

A: Given:

Q: Find the length of the curve of 8x = y² + 2y-² from y = 1 to y = 2.

A: Length

Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

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: