bos 12.02.bmot x1x+10=x+181 bus o dre ai Anst Abaith sydbibce s2012. An MRT train 6m above the ground crosses a street 9m/s at the instant that a car approaching at a speed of4 m/s is 12 m up the street. Find the rate of the LRTtrain and the car separating one second later.a. 3.64 m/sb. 5.64 m/sc. 3.52 m/sd. 2.25 m/s33. The cost per hour of running a motor boat isproportional to the cube of the speed. At what speedwill the boat run against a current of 8 km/hr in orderto go a given distance most economically?a.24 km/hrb. 11 km/hrc. 12 km/hrd. 22 km/hr34. A Norman window is in the shape of a rectanglesurrounded by a semicircle. What is the ratio of thewidth of the rectangle to the total height so that it willyield a window admitting the most light for a givenperimeter?a. 1b. 0.5c. 2d. 0.6735. The derivative of a negative constant isa. Indeterminateb. Onec. Cd. Zerox²36. Differentiate y =x+1'x²+2xa.c. 2x(x+2)²x32x2b.d.(x+2)³x+137. Find the partial derivatives with respect to x of thefunction xy2-5y + 6.a. 2xyb. y2-5c. xy-5yd y38. Find y' if y=arc sin cos x.a. Ob. 1c. -1d. π39. Evaluate lim(x2+3x-4)x-4a. 27c. 24b. 26d. 2540. Differentiate y = ex cos x²a. excos x²-2x sin x²b. ecos x²-2x sin x²)c. ex sin x²d. -2xex sin x41. Evaluate the integral of dx/(x+2) from -6 to -10.a.In 2b. In 3c. In 1d. In e

since you have posted multiple question in this question which are not interlinked so i have solved…

2.An MRT train 6m above the ground crosses a street 9 m/s at the instant that a car approaching at a speed of 4 m/s is 12 m up the street. Find the rate of the LRT train and the car separating one second later. a. 3.64 m/s b. 5.64 m/s c. 3.52 m/s d. 2.25 m/s

2.An MRT train 6m above the ground crosses a street 9 m/s at the instant that a car approaching at a speed of 4 m/s is 12 m up the street. Find the rate of the LRT train and the car separating one second later. a. 3.64 m/s b. 5.64 m/s c. 3.52 m/s d. 2.25 m/s

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

bos 12.02.b
mot x
1x+10=x+1
81 bus o d
re ai Anst A
baith syd
bibce s
201
2. An MRT train 6m above the ground crosses a street 9
m/s at the instant that a car approaching at a speed of
4 m/s is 12 m up the street. Find the rate of the LRT
train and the car separating one second later.
a. 3.64 m/s
b. 5.64 m/s
c. 3.52 m/s
d. 2.25 m/s
33. The cost per hour of running a motor boat is
proportional to the cube of the speed. At what speed
will the boat run against a current of 8 km/hr in order
to go a given distance most economically?
a.
24 km/hr
b. 11 km/hr
c. 12 km/hr
d. 22 km/hr
34. A Norman window is in the shape of a rectangle
surrounded by a semicircle. What is the ratio of the
width of the rectangle to the total height so that it will
yield a window admitting the most light for a given
perimeter?
a. 1
b. 0.5
c. 2
d. 0.67
35. The derivative of a negative constant is
a. Indeterminate
b. One
c. C
d. Zero
x²
36. Differentiate y =
x+1'
x²+2x
a.
c. 2x
(x+2)²
x3
2x2
b.
d.
(x+2)³
x+1
37. Find the partial derivatives with respect to x of the
function xy2-5y + 6.
a. 2xy
b. y2-5
c. xy-5y
d y
38. Find y' if y=arc sin cos x.
a. O
b. 1
c. -1
d. π
39. Evaluate lim(x2+3x-4)
x-4
a. 27
c. 24
b. 26
d. 25
40. Differentiate y = ex cos x²
a. excos x²-2x sin x²
b. ecos x²-2x sin x²)
c. ex sin x²
d. -2xex sin x
41. Evaluate the integral of dx/(x+2) from -6 to -10.
a.
In 2
b. In 3
c. In 1
d. In e

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