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find the area of the region in the first quadrant by bounded by the curve y=sqrt x^2+5, the x-axis and the line x=2
The circumference of the base of a right circular cone is 75 cm. Find its lateral area if the slant height is 20 cm.
A 2-character string, userPassword, is read from input. Replace each digit character in userPassword with '*'. Otherwise, userPassword is not changed.
Given string inputString on one line, character newLetter on a second line, and integer strIndex on a third line, change the character at index strIndex of inputString to newLetter
The Head of the Math Department announced that the mean score of
Grade 9 students in the first periodic examination in Mathematics was 89 and
the standard deviation was 12. 0ne student, who believed that the mean
score was less than this, randomly selected 25 students and computed their
mean score. She obtained a mean score of 85. At a 0.01 level of significance,
test the student's beliefs.
if the period of rotation is 3 seconds what is its angular frequency
A scientist working late at night in her low-temperature physics laboratory decides to have a cup of hot tea, but discovers the lab hot plate is broken. Not to be deterred, she puts about 8.00 oz of water, at 12.0°C, from the tap into a lab dewar (essentially a large thermos bottle) and begins shaking it up and down. With each shake the water is thrown up and falls back down a distance of 25.6 cm.
Is this practically possible?
A scientist working late at night in her low-temperature physics laboratory decides to have a cup of hot tea, but discovers the lab hot plate is broken. Not to be deterred, she puts about 8.00 oz of water, at 12.0°C, from the tap into a lab dewar (essentially a large thermos bottle) and begins shaking it up and down. With each shake the water is thrown up and falls back down a distance of 25.6 cm.
If she can complete 30 shakes per minute, how long will it take for the water to reach 79.8°C?
A 7.70-kg steel ball at 18.7°C is dropped from a height of 12.7 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450 J/(kg·K) and 4186 J/(kg·K) respectively.
4) Find each of the two areas bounded by the curves y=x³-4x and y = x² + 21.
