20. Below the cone z = Vx? + y? and above the ring 1

Q: Let S be the part of the graph of the function x² + y² that lies above the disk x² + y² ≤ 4. What is…

A: The surface is the part of z=x2+y2:

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

A:

Q: A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation…

A:

Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

A:

Q: Sketch the graph of quadratic surfaces. Y=(x^2+3z^2)^(1/2)

A: We need to plot the surface: y=x2+3z2.

Q: Find the dimensions of the rectangle of maximum area that can be drawn within a semicircle of radius…

A:

Q: A power function has the form: f(x) = c x x^k where c is any real number and k is an integer.…

A:

Q: fx) = (x³+2x² + x-1)

A: We have the given function as fx=-13x3+2x2+x-1         ⋯⋯1 A relative maximum point is a point where…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Q3: Find the points on the surface x^2+z^2-6=0, closest to the origin.

A: The distance of the point on the surface is given by d=x2+y2+z2. To obtain the distance insert the…

Q: 2yy" = 1 + (y')² 2

A:

Q: d. y= x² + y x + cos y

A:

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

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Q: Find the area of the part of the surface z = x² + 2y that lies above the triangle with vertices…

A:

Q: Determine all the points, nearest to the point (0.0.2) on the following graph: 3x^2 + 2y^2 -z = 0

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Q: 10. Differentiate each function. a) y= -3x² + 4x- 5 b) f(x)=6x-1- 5x-2 ) flx)= 4\x d) y= (3x² –…

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Q: You are designing an RPG (role-playing game) for a gaming console and have decided to use an open…

A: Given that the function dx,y=e-x2y is to be minimised and maximised on the unit disc x2+y2≤900. We…

Q: Let S be the part of the graph of the function x² + y² that lies above the disk x² + y² ≤ 4. What is…

A: The surface is the part of z=x2+y2:

Q: find

A:

Q: The parabola is the graph of a quadratic polynomial p(x) = ax^2 + bx + c. A point (x0, y0) is a…

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Q: (viii) y = 2x/2(vx + 2)(vx – 1)

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Q: Q2 You have the polynomial y=5x^5+2x^4 + 3x^3 - 10x^2 - 11x + 22 1) Find the roots of this…

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Q: Try Again For the polynomial below, -2 is a zero. h(x)=x'-2x+5x+26 Express h (x) as a product of…

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Q: Let f(x)=6x+1 and g(x)=5-x^2 , find (f o g)(x) a. x^2 b.-6x^2+30 c.-6x^2+31 d.-36x^2-12x+4 e.…

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Q: Using the discriminant, ALGEBRAICALLY determine the nature of the roots for y=4x^+4x-3. 2. A

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.