2. The limit of the sequence {cos cos an n+1 is

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A: given limit is    limx→1x2+2x-3x-1then we have to evaluate it :-here   f(x)=x2+2x-3x-1if x = 1.1…

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A: Topic:- application of integration

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Q: Find the required higher derivative. Show your complete solution. x³y³ a³ + 3 10. 3 3 ; second

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Please see the below picture for detailed solution.

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A: The shortest distance from the line y = x + 1 to the parabola y2=x. Equation of line y = x + 1is…

Q: What is the volume of solid generated when the area bounded by y=x² and y=4 is revolved about y=4?…

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Q: 23 Match the equations listed in parts (a)-(d) to the graphs in the ac- companying figure. a. y = (x…

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Q: x = cos³t, y = sin³t, 0 ≤ t ≤ 2π

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Q: Find an equation of the plane that passes through the point P(5, 6, 3) and has the vector n = (1, 9,…

A: To find an equation of the plane that passes through the point P5, 6, 3and has the vector n=1, 9, 9…

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A: Let's find slope and draw the tangents.

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Q: (11) (g(h(x))) and h(1) = 5, g(5) = 3, h' (1) = 4, g' (5) = 10 and f'(3) = 8, then r' (1) = If r(x)…

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Q: Verify the following identities 2c05¹ √√x=cos (2x-1) 0<x<1

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A: we need to find the velocity and position of the particle.

Q: 2- Sketch T and Evaluate the Integral M, divÑav, being ♬(x,y,z) = yĩ+ xyj – zk Where T is the region…

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Q: SOLVE USING BERNOULLI EQUATION dy y dx x ²+²= = x²y²

A: Given differential equation dydx + yx = x2y2

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Q: 3. The figure on the right side shows the circumscribed (big circle) and inscribed (small circle)…

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Q: Exercise 1. Tell whether the following sets are bounded from below and/or from above, specifying…

A: The given set is C=n−1n: n∈ℕ\0

Q: 2. Given: y = 4 sin applifude b. period C. phose chift ditumine;

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Q: Given a 2-dimensional function T(x, y) = 3y² + sin(x) answer the following a) find the expression…

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Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

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Q: 5 in the entire shape? You car calculator to help you solve. » 5 in 5 in I The perimeter of the…

A: We have to find the perimeter of the given entire shape.Now the right side of the given shape is a…

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Q: 7. Find the surface area generated by revolving y = x² from x = 0 to x 2 about the x-axis. = a.…

A: To find the surface area generated by revolving y=x2 from x=0 to x=2 about the  x-axis.

Q: Step 1 To find the x-intercept, set y = 0 in the equation 3x - y - 9 = 0, and then solve for x. 3x -…

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A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: ractice implicit differentiation. (a) If 5x^3+x^2y−xy^3=-2, then the slope of the curve at the…

A: given  5x3+x2y-xy3=-2we know that slope is  dydxdxndx=nxn-1d(a.b)dx=adbdx+bdadxd(constant)dx=0

Q: 6. Solve for the volume of the solid after rotating the region bounded by y = x³ and y= 2x² about…

A: Solution: To solve this problem, we will use the formula for the volume of a solid of revolution…

Q: Question 1: Let f(x) = x³ - 3x² +4. a) Find the intervals of increase and decrease. b) Find the…

A: Let fx=x3-3x2+4a To find the intervals of increase and decrease.b To find the local maximum values…

Q: Illustrate the wide-ranging uses of calculus within different construction disciplines by solving…

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Q: whats the distance of JK, where J(4,3) and K(2,-3)?

A: Concept Let two points  P( x1 , y1 ) &amp; Q( x2 , y2 ) Then PQ = ( x2 - x1 )2 + ( y2 - y1 )2

Q: Find the components of P, the position vector drawn below, given that ||P|| = 6.4. 2 2i + 3j + 5.29k…

A: Let's find new notations.