25,270 Answered Questions for the topic calculus
Calculus
10/18/23
Calculus Homework
A) Consider the following. f(x)=e^x + 3x Find an interval, of length 1 and having integer endpoints, on which the function has a root. [-2,3] [-1,0] [0,1] [-1,1] [2,3]B) Consider the following....
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Calculus
10/18/23
Suppose that bacteria growth is modelled by the DE
Suppose that the number of bacteria is observed to double after 4 days, and the estimated carrying capacity is19 times the initial population. What is the estimated population, as a multiple of the...
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Calculus
10/18/23
Use the substitution x=3 cos t, 0 ≤ t ≤ π to simplify the following integral:
Use the substitution x=3 cos t, 0 ≤ t ≤ π to simplify the following integral: ∫ 1 / sqrt(9 - x^2)(a) Calculate sqrt(9 - x^2) in terms of t.(b) If the substitution replaces dx with f(t) dt then...
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Calculus Algebra 1
10/18/23
Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a constant velocity of 18.5 m/s relative to the rocket,
Suppose that a rocket is launched vertically and it is known that the exhaust gases are emitted at a constant velocity of 18.5 m/s relative to the rocket, the initial mass is 1.4 kg and we take...
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Calculus
10/18/23
related to Calculus
A school principal claims that the students in his school are above average intelligence. A random sample of 30 students IQ scores has a mean score of 112.5. The mean population IQ is 100 with an...
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Calculus Math
10/18/23
Linearization problem
Use a linear approximation to approximate sin(26°).Let f(x)=sin(x). Find the equation of the line tangent of f(x) at a "nice" point near 26°. Then use the tangent line to approximate sin(26°)....
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Calculus Math
10/18/23
Newtons method question
Use Newtons method to approximate √10 to 6 significant figures starting with x0=3.5.
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Calculus Math
10/18/23
Newtons Method problem
The number 6^(1/5) can be thought of as the solution of the equation x^5−6=0. (by the way the 6^(1/5) is supposed to be in square root form but I cant write it in that form here)1.To find 6^(1/5)...
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Calculus
10/17/23
Is there a time t , for 1<t<8 , at which the rate of change of the number of people at the venue changes from negative to positive? Give a reason for your answer.
For time 0 ≤ t ≤ 8, people arrive at a venue for an outdoor concert at a rate modeled by the function A defined by A(t) = 0.3sin(1.9t) + 0.3cos(0.6t) + 1.3. For time 0 ≤ t ≤ 1, no one leaves the...
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Calculus
10/17/23
Find (f^1)'(a). f(x)=3x^3+4x^2+4x+2, a=2
A) Find (f^1)'(a). f(x)=3x^3+4x^2+4x+2, a=2 B) A cylinder is being flattened so that its volume does not change. Find the rate of change of radius when r=3 inches and h=5 inches, if the height is...
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Calculus
10/17/23
If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following. ln[(sqrt)(b^2)(c^2)(a^-2)]
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Calculus
10/17/23
Suppose f^-1 is the inverse function of a differentiable function f and f(4)=9 , f'(4)=7/5, then (f^-1)'(9)=?
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Calculus
10/17/23
If f is one-to-one and f(-15)=13, then f^-1 (13)=? and (f(-15))^-1=?
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Calculus
10/17/23
MAT 270: Calculus 4.2
Can I get step by step example of a problem that's like this one.Suppose f(x) is continuous on [2,6] and -2 ≤ f'(x) ≤ 4 for all x in (2,6). Use the Mean Value Theorem to estimate f(6)-f(2).*blank*...
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