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Katena32 [7]
2 years ago
5

Lim of x^2-3sinx/x as x approaches 0

Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0
Use parentheses please!!
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The radius of a spherical ball is measured at r = 25 cm. Estimate the maximum error in the volume and surface area if r is accur
natulia [17]

Answer:

Volume = 2384.582 cm^3

Surface Area = 189.626 cm^2

Step-by-step explanation:

With the accuracy of r within 0.6 cm minimum & maximum values are 25-0.3 and 25+0.3 respectively.

Taking r = 25 cm

Volume = (4/3)*Pi*R3 = 65449.847

Surface Area = 4*Pi*R2 = 7853.982

The minimum possible values for Volume and surface area would be:

if r = 24.7 cm

Volume = (4/3)*Pi*R3 = 63121.814 cm^3

Surface Area = 4*Pi*R2 = 7666.617 cm^2

The maximum possible values for Volume and surface area would be:

if r = 25.3 cm

Volume = (4/3)*Pi*R3 = 67834.429 cm^3

Surface Area = 4*Pi*R2 = 8043.608 cm^2

Error from Minimum values:

Volume = 2328.033 cm^3

Surface Area = 187.365 cm^2

Error from Maximum values:

Volume = 2384.582 cm^3

Surface Area = 189.626 cm^2

3 0
3 years ago
HELPPPP MEEEE PLEASE!!!!​
creativ13 [48]

Answer:

Step-by-step explanation:

3 0
2 years ago
The total amount of time university students in the United States spend sleeping grooming, eating and drinking, and traveling is
kolezko [41]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING ​
lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = \frac{1}{3}x^{2}-2x+8

Here x = rider's horizontal distance from the start of the ride

i). y=\frac{1}{3}x^{2}-2x+8

      =\frac{1}{3}(x^{2}-6x+24)

      =\frac{1}{3}[x^{2}-2(3x)+9-9+24]

      =\frac{1}{3}[(x^{2}-2(3x)+9)+15]

      =\frac{1}{3}[(x-3)^2+15]

      =\frac{1}{3}(x-3)^2+5

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    8=\frac{1}{3}(x-3)^2+5

    3=\frac{1}{3}(x-3)^2

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

6 0
2 years ago
Over which interval is the graph of the parent absolute value function f(x) = |xl decreasing?
Romashka [77]

Answer:

(-∞,0)

Step-by-step explanation:

Graph y=|x|

Note that the graph is shaped like a V. The left half of the graph is decreasing from -∞ up until 0 when it hits the origin and starts to increase. Put this into interval notation: (-∞,0).

8 0
3 years ago
Read 2 more answers
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