Find the gradient ?f.f(x, y) = x8y sin y
A. (x8y cos y + x8 sin y)i + (8x7y sin y)j
B. (8x7y cos y)i + (x8y sin y + x8 cos y)j
C. (8x7y sin y)i + (x8 cos y + x8y sin y)j
D. (8x7y sin y)i + (x8y cos y + x8 sin y)j
Answer: D
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Use Euler's method with the specified step size to approximate the solution.Use Euler's method with h = 0.2 to approximate y(4) given that y' = -y/x and y(3) = 2. Round your answer to four decimal places.
A. y(4) ? 1.4737 B. y(4) ? 0.6667 C. y(4) ? 0.9167 D. y(4) ? 1.4167
Express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning.No germs have made people sick.
A. Some germs have made people sick. B. All germs have made people sick. C. At least one germ has made people sick. D. All germs have not made people sick.
Solve the problem.A sensor light installed on the edge of a home can detect motion for a distance of in front and with a range of motion of
Over what area will the sensor detect motion and become illuminated? Round your answer to two decimal places.
A. 12,468.98 ft2 B. 12,469.08 ft2 C. 6234.39 ft2 D. 6234.49 ft2
Two sides of a triangle are m and m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is
Select the correct answer.
a. 1.145
b. ?0.955
c. 0.090
d. 5.045
e. ?1.955