69. Let f(x) = sin e. a. Find a Trapezoid Rule approximation to sin e dx using n = 40 subintervals. b. Calculate f "(x).

Q: Find y" for the following function. y = 5 sin x cos x y" =|

A: We will find y'' as following.

Q: 6. Determine the equation of the line that is tangent to f(x) = 4x – tan x where x =

A: The answer is found in step-2.

Q: 20. Show that -V3 is in the range of the tangent function by finding an angle 0 for which tan 0 =…

A: Given:  tan θ = -3To Find : The value of θTo Show:  -3 is in the range of the tangent…

Q: Find the derivative. sin 0 d. 1 dx 1- x2 de A. tan 0 B. sec 0 C. cot0 O D. cos 0

A:

Q: Differentiate with respect to x, assuming that y is implicitly a function of x. dy (Use symbolic…

A:

Q: Consider the function f(x) = sin(4x). a. Determine f '(x). b. Determine f"(x). c. What is the…

A:

Q: 14. d dt t-π²²

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.