Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The approximation is:

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

A:

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

A:

Q: Using the Trapezoidal Rule, an approximate value of 5 V(x + 3x)dx with 5 ordinates, correct to one…

A: Consider the given integral.

Q: 3 Estimate dx using right endpoints for n = 3 approximating rectangles. 3 dx is approximately

A: Integration

Q: dx (9 – 4.x²)³/2 2,3/2

A: Given: The integral is ∫dx9-4x232. To find: Value of the integral.

Q: Find an equation of the tangent line to f(x) = x² at the point (3,9).

A:

Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative

Q: at) On a sketch of y = ln(x), represent the left-endpoint approximation with n = 2 approximating /…

A: The given integral ∫12ln(x) dx. We have to find the left Riemann sum and right Riemann sum with n=2.…

Q: Q.2 Evaluate : P;(x)dx=

A:

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: point) The velocity of a car is f(t) = 7t meters/second. Use a graph of f(t) to find the exact…

A:

Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: Calculate the area of the puddle when 10 liters of water is spilled on a flat floor for cases of 0p…

A: Water molecule have an enormous amount of inter-molecular forces.  10 liters of water would spread…

Q: Approximate sinx dx using four trapezoids of equal width. On the interval (0, pi)

A: Trapezoidal rule

Q: Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x =…

A:

Q: Evaluate -dx by taking n = 10 using the Trapezoidal and Simpson's 1/3rd rule. Also compute the…

A: Given : The function ∫12.61xdx n=10 By using the Simpson's 13rule: Given x1=1, x2=2.6,n=10…

Q: S cot³(2x – 5) csc*(2x – 5)dx 4

A: We have to evaluate the integral: ∫cot32x-5 cosec42x-5 dx Rewriting the integral using identity…