Decide whether the following problem can be solved using precalculus, or whether

Question

Decide whether the following problem can be solved using precalculus, or whether calculus is required. the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the area of the shaded region. A precalculus 13 B precalculus, 16 C calculus, 16 D precalculus, 11 E. calculus 11 Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. Find the distance traveled in 14 seconds by an object moving with a velocity of v(t) = 12+4cos t feet per second. A precalculus. 168.5469 ft B, calculus, 168.5469 ft C. precalculus. 171.9624 ft D calculus, 1719624 ft E, precalculus, 169.8969 ft Find the limit lim_x rightarrow infinity -2x + 6/4x^2 + 8 A. 0 B. infinity C. - 1/2

Explanation / Answer

23)

calculus

using left end point :

area =1*[5+5.5]

area=10

using left end point :

area =1*[5+6]

area=11

using right end point :

area =1*[6+5]

area=11

average =(11+11)/2

average =11

therefore area of shaded region =11

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24)calculus

distance travelled in 14 seconds=[0 to 14] (12+4cost) dt

distance travelled in 14 seconds=[0 to 14] (12t+4sint)

distance travelled in 14 seconds=((12*14)+4sin14)-(12*0 +4sin0)

distance travelled in 14 seconds=((12*14)+4sin14)-0

distance travelled in 14 seconds=168+3.962

distance travelled in 14 seconds=171.9624ft

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25)

limx-> (-2x+6)/(4x2+8)

=limx-> x(-2+(6/x))/(x(4x+(8/x)))

=limx-> (-2+(6/x))/(4x+(8/x))

= (-2+0)/(+0)

=0

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