Differentiate.f(x) = x3e-x3Enter your answer exactly as just eP(x)(Q(x)) where P and Q are polynomials in x in standard form.

What will be an ideal response?


e-x3(-3x5 + 3x2)

Mathematics

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Answer the question appropriately.Find the linearization of f(x) = sin x at x = 2. Round the coefficients to 2 decimal places.

A. L(x) = -0.42x + 0.07 B. L(x) = -0.42x +1.74 C. L(x) = 0.42x + 0.49 D. L(x) = cos x

Mathematics

Find the indicated cross product.v = 4i - 6j + k, w = 2i - 4j - kFind w × v.

A. 4i + 10j - 10k B. 6i + 10j + 4k C. 10i + 6j + 16k D. -10i - 6j + 4k

Mathematics

Solve the problem. Round your answer to the nearest hundredth.A conveyor ramp carries heavy equipment up to an elevated platform. The platform is 42 ft above ground level and the angle of elevation of the ramp is 20°. How long is the ramp?

A. 15.29 ft B. 122.80 ft C. 44.70 ft D. 39.47 ft

Mathematics

Determine the size of the sample space for the experiment described.A box contains 13 white cards numbered 1 through 13. State the number of elements in the sample space of the event choosing one card with a number greater than 6.

A. n(S) = 7 B. n(S) = 13 C. n(S) = 8 D. n(S) = 1

Mathematics