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.
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Divide. Simplify if possible.
÷ 
A. a - w
B. a
C. - 
D. a2 - w2
Find T, N, and B for the given space curve.r(t) = 
i + 
j + 3tk
A. T = 
(cos 0.571t)i - 
(sin 0.571t)j ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = 
(cos 0.571t)i - 
(sin 0.571t)j - 
k
B. T = 
(sin 0.571t)i - 
(cos 0.571t)j ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = 
(cos 0.571t)i - 
(sin 0.571t)j - 
k
C. T = 
(cos 0.571t)i - 
(sin 0.571t)j + 
k ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = - 
k
D. T = 
(cos 0.571t)i - 
(sin 0.571t)j + 
k ; N = (-sin 0.571t)i - (cos 0.571t)j ; B = 
(cos 0.571t)i - 
(sin 0.571t)j - 
k
Use a strictly graphical approach to solve the equation over the interval [0, 2?). Express solutions to the nearest hundredth.2 cot x + 2 csc x = 4
A. {0.89, 4.40} B. {0.93} C. {0.93, 3.14} D. {1.13}
Solve the problem.Three different high schools plan to order the same three text books. School A plans to order 90 of book 1, 20 of book 2, 80 of book 3. School B plans to order 60 of book 1, 20 of book 2, 20 of book 3. School C plans to order 80 of book 1, 100 of book 2, 70 of book 3. The cost of book 1 is $15 per copy, the cost of book 2 is $20 per copy, and the cost of book 3 is $25 per copy. What matrix product displays the cost to each school of buying the textbooks? Display the two matrices which must be multiplied and their product.
A. 
= 
B. 
= 
C. 
= 
D. 
= 