Determine the equation of the tangent at the point

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Question 1:

For the curve y = 1 + x - x2 determine the equation of the tangent at the point (-2, -5).

Question 2:

Write theorem 2: the Integral of a Constant.

Question 3:

A train moves along a track at a steady 65 miles per hour from 7:00A.M. to10:00 A.M. Express its total distance travelled between this interval as an integral. Evaluate theintegral using Theorem 2.

Question 4:

In the relationship z = f(x, y), identify the dependent and independent variables.

Question 5:

Find ∂z/∂x and ∂z/∂y of, z=x2 + 3xy + y -1.

Question 6:

Determine the general solution of the following equation:

(d2y)/(dt2 )-3 dy/dt - 18y = 0

Verified Expert

This assignment based on basic of engineering mathematics and problem solving assignment. In this report, there are solution of partial derivation and integration techniques. Also provide solution of equation of line to determine equation of tangent. Define dependent variable and independent variation of x, y and z differentiation equation. A task is solved with using Microsoft word file.

Reference no: EM131659169

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