Provide an appropriate response.Does the curve y = x3 + 4x - 10 have a tangent whose slope is -2? If so, find an equation for the line and the point of tangency. If not, why not?

What will be an ideal response?


The curve has no tangent whose slope is -2. The derivative of the curve, y' = 3x2 + 4, is always positive and thus never equals -2.

Mathematics

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Find all cube roots of the complex number. Leave answers in trigonometric form.-6 - 6i

A.  cis 70°,  cis 190°,  cis 310°
B.  cis 70°,  cis 190°,  cis 310°
C.  cis 70°,  cis 190°,  cis 310°
D.  cis 80°,  cis 200°,  cis 320°

Mathematics

Decide whether the graph opens up or opens down.f(x) = 5(x - 2)2 + 6

A. opens up B. opens down

Mathematics

Estimate the sum or difference by first rounding each value to the indicated place value. Then find the actual sum or difference.1989.26 - 803.8round each to the nearest hundred

A. Estimate: 1200; Actual: 1185.46 B. Estimate: 1000; Actual: 1185.46 C. Estimate: 1000; Actual: 1195.46 D. Estimate: 1200; Actual: 1186.46

Mathematics

Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument ?. ?

What will be an ideal response?

Mathematics