807 Answered Questions for the topic Calculus 1

Calculus 1

02/26/18

limit as x approaches 3 from the right side of (x^2-4x+1)/(x^2-12x+27)
evaluate analytically
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Calculus 1

02/26/18

limit as x approaches -3 (x^2-3x-28)/(3x^2+14x+8)
evaluate analytically
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Calculus 1

02/26/18

as limit x approaches 3.14 cscxtanx
evaluate analitically
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Calculus 1

02/25/18

limit as x approaches -5 (x^2-25) / (x^2-2x-35)
evaluate analytically
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Calculus 1 Algebra

02/23/18

An object is dropped from a tower. 166 ft above the ground. The object's height above ground t sec into the fall is s=166-16t^2
a. What is the object's velocity, speed and acceleration at time t? b. About how long does it take the object to hit the ground? c. What is the object's velocity at the moment of impact?
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Calculus 1

02/23/18

Answer the following questions about the function whose derivative is f'(x)=(x+3)e^-2x
a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values?
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Calculus 1

02/23/18

Assume that x=x(t) and y=y(t). Let y=x^2+5 and dx/dt=3 when x=2. Find dy/dt when x=2
Can someone help me with this im really confused with this problem.
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Expert Answers •2

02/23/18

how do you differentiate tan(x)^cos(x)
 I have no idea how to solve this
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Calculus 1

02/21/18

The integral of sec(x)+tan(x) dx
 Find the indefinite integral of sec(x)+tan(x) dx
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Calculus 1

02/20/18

Use the method of completing the square to sketch (a) 𝑦 = 𝑥2 + 10𝑥 + 4 (b) 𝑦 = 6 + 𝑥 − 𝑥2.
Use the method of completing the square to sketch (a) 𝑦 = 𝑥2 + 10𝑥 + 4 (b) 𝑦 = 6 + 𝑥 − 𝑥2.
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Calculus 1

02/18/18

Calculus Question
Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 5 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to... more
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Calculus 1 Math Calculus Math Help

02/12/18

Implicit Differentiation Question
Consider the following:   cos(x)+√y = 5   A) Find y' by implicit differentiation   B)  Solve the equation explicitly for y and differentiate to get y' in terms of x.    C)  Check that your... more
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02/12/18

write the quadratic 3x^2+9x+6 in standard form (so it is clear what the vertex of the parabola would be)
write the quadratic 3x2+9x+6 in standard form (so it is clear what the vertex of the parabola would be)
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Calculus 1

02/12/18

Sally wishes to open a savings account. Citizens bank offers a savings account that compound monthly at interest rate of 2% per year.
Empire bank offers a savings account that compounds quarterly at an interest rate of 3% per year.   a) Calculate the effective rate of interest for each savings account.   b) which savings... more
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02/12/18

Find the value of log(a,(b)) it uses.
log base(ab) [2log base(ab)(√a)-1/2log base(ab)√ab(b)]=(log base(ab) (a))^2-(log base(ab)(b))^2   I do not know 
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02/11/18

What is ∫-7^-1 f(x)dx?
suppose that f(x) is an even function and let ∫0^1 f(x)dx = 5 and ∫0^7 f(x)dx = 1. What is ∫-7^-1 f(x)dx?   This is my work   I expand ∫-7^-1 f(x)dx to F(-1) - F(-7)   F(-1) - F(-7) is the... more
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02/11/18

How do I find convergence of this sum, without using integral test ( i is imaginary unit; sum goes from 1 to inf ) :
∑ ( 1/( (5i)^n + n) )
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Calculus 1 Sum

02/11/18

How can I find convergence of this sum, without using the integral test: (sum goes from 1 to inf)
∑(sqrt(n+2) - 2sqrt(n+1) + sqrt(n))  
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Calculus 1

02/01/18

2/3 log x - [ 6 log y + 1/2 log z ]
please help
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Calculus 1

01/30/18

Find the equation of the line (in slope intercept form) passing through the point (-1,6) and perpendicular to the line passing through the origin with slope .5.
I need help how do i figure this out
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Calculus 1 Calculus

01/30/18

Solve the equation. (sin(x))(cos(x)) = 0 on [0, 2π)
Calculus 1 Homework
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Expert Answers •2

01/30/18

Find the equation of the perpendicular line passing through the midpoint of the line segment connecting (−2, 5) and (7, −3)
Calc 1 Homework Question
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01/30/18

Find the equation in standard form for the line passing through (−5, 8) perpendicular to the line through the origin with slope 0.5
Calc 1 Homework Problem
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Calculus 1 Calculus

01/29/18

Calculating population with calculus
A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have... more
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Calculus 1

01/16/18

express the function in the form f o g. Use non identity functions for f and g
express the function in the form f o g. Use non identity functions for f and g. u(t)=cot(t)/7+cot(t) f(t), g(t)= ?
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