6,196 Answered Questions for the topic calculus

8d

#### Help with Transformations?

So I've got two transformations questions, both of which wanting the answer given in the y= a f(bx+c) + d format. The starting equation is y= f(x). The first one is:
Reflect across the x-axis
Shift...
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9d

#### Please help me with this question!

Find Options:
Cannot be found
ln(x2 + 1)
(2x)ln(x4 + 1)
(2x)ln(x4 + 1) - ln(5)

9d

#### Please help me with this question!

Please use the properties of sigma notation and the summation formulas to evaluate Options:
235
555
940
1865

9d

#### I need help with integral please!

Use your graphing calculator to evaluate to three decimal places the value of Options:
0.250
2.667
1.778
-3.251

9d

#### A snowball is melting so that the radius is changing at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the snowball has a radius of 3 inches?

Question options:
1)
-16π in2/hour
2)
-24π in2/hour
3)
-32π in2/hour
4)
-48π in2/hour

9d

#### A particle moves along the x-axis with position function s(t) = ecos(x). How many times in the interval [0, 2π] is the velocity equal to 0?

Question options:
1)
1
2)
2
3)
3
4)
More than 3

9d

#### I need help with integral please!

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 - x2 and the x-axis?Options:

9d

#### The graph of the derivative, f '(x) is shown below. On what interval is the graph of f (x) increasing?

Question options:
1)
Increasing on (-∞, -4) U (2, ∞)
2)
Increasing on (-4, 2)
3)
Increasing on (-1, ∞)
4)
Increasing on (0, ∞ )

9d

#### Which of the following functions is continuous at x = 5?

Question options:
1)
2)
3)
4)
All are continuous at x = 5

9d

#### End Behavior of function

The end behavior of most closely matches which of the following? Question options:
1)
y = 0
2)
y = 2
3)
y = 9
4)
y = -9

9d

#### Please help me with integrals!

If f(x) and g(x) are continuous on [a, b], which one of the following would be false?Options:

9d

#### Could Someone Check My Work Please? For f(x) = (1 + x)/(1 - x) and g(x) = x/1 - x find the simplified form for f [g(x)] and state the domain.

For f(x) = (1 + x)/(1 - x) and g(x) = x/1 - x find the simplified form for f [g(x)] and state the domain

9d

#### What is the limit as x tends to -1 of (X^1/3 + 1)/(1 - x^2/5)

I've just started studying limits using an old textbook. This problem is in the section that introduces limits and before any differentiation rules like L'Hopital's rule so I would like to know how...
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9d

#### Could Someone Check My Work Please? For f(x) = (1 + x)/(1 - x) and g(x) = x/1 - x find the simplified form for f [g(x)] and state the domain.

For f(x) = (1 + x)/(1 - x) and g(x) = x/1 - x find the simplified form for f [g(x)] and state the domain.

9d

#### Use the table below to evaluate d/dx [g[f(3x)]] at x = 1.

Use the table below to evaluate d/dx [g[f(3x)]] at x = 1. 1 2 3 ...
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9d

#### Find the rate of change of the angle of elevation when the balloon is 9 feet above the ground.

Question 1. A balloon rises at the rate of 8 feet per second from a point on the ground 12 feet from an observer. To 2 decimal places in radians per second, find the rate of change of the angle of...
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9d

#### Optimization Problem

The range R of a projectile fired with with constant velocity v at an upward launch angle of A is given by: . In this formula g is the acceleration due to gravity, which is constant near Earth's...
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9d

#### Calculus help please

The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units in your answer.

9d

#### Calculus problem: Help needed please

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the rate of 2 cm3/min. At what rate is the depth of the water changing at...
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