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Find the equation of the line that is perpendicular to this line and passes through the point  −7, 3 Find the equation of the line that is parallel to this line and passes...

Circuit R1 has 7 V, R2 has 13 V... the total voltage is 20 V (a) What is the potential difference across R1??? (b) If 10 A flows out of the battery, what is the current through R1??? (c)...

I take a golf ball.  I design it with exactly one dimple per degree of any proposed circumference.  Many of the various circumferences intersect, which means subtracting 2 degrees...

A stationary particle of charge ?? = 2.6 × 10^−8 ?? is placed in a laser beam (an electromagnetic wave) whose intensity is 2.5 × 10^3 ??/??2. (a) Determine the magnitude of the electric and...

two drugs A and B are given below to two independs groups of 10 and 12 patients of hearts disease respectively. After 30 minutes the reduction of blood pressure due to two drugs are recorded are given...

Find the sixth-degree Taylor polynomial p(x) about 0 for the function f(x) = −e^x cos ( 21/8 x^2 )

One car rental agency charges $0.29 per mile plus a$10 weekly fee. Another rental agency charges \$0.35 per mile with no fee. You need to rent a car for three weeks.    Write te...

A block of ice in the form of a cube with sides x cm, melts at the rate of 6.45 cm3 per minute. Find the rate of change of x at the instant when x = 10 cm.

Consider the equation z^{11} = (1 + \sqrt{3}\, i). Find the value of z which satisfies this equation and which has the second smallest positive argument \theta, 0 < \theta < 2\pi. Express...

Consider the equation z^{15} = (1 + \sqrt{3}\, i). Find the value of z which satisfies this equation and which has the second smallest positive argument \theta, 0 < \theta < 2\pi. Express...

1. Write down all derangements of the set {α,b,c,d} and show that the number of derangements is the same as predicted by the recurrence D(n) = (n - 1)(D(n - 2) + D(n - 1)) with initial values...

A company manufactures two types of window frames: Timber frames and Composite frame. The time available for some of the key manufacturing stages is limited. At present only 2000 hours of...

The volume of a sphere is increasing at a constant rate of 19.2 pi cm3s-1. Find the radius of the sphere at the instant when the radius is increasing at a rate of 0.3 cm s-1 .