836 Answered Questions for the topic Calculus 1

Calculus 1

03/10/18

The distance s (In feet) traveled is given by s = 40t-5t^2, where t is the time (in seconds). How far does it travel in coming to a stop?
Have been trying to solve this for hours with no luck, any help would be greatly appreciated. (The question must be solved using Calculus)
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Calculus 1 Math Mathematics School

03/07/18

Related Rate: Kite Problem
A kite 100 ft above the ground moves horizontally at a speed of 14 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let... more
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03/06/18

Related Rate: Ladder Problem
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when... more
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Calculus 1

03/06/18

Find y'' by implicit differentiation. 7x^2 + y^2 = 6
Calculus I Question. Need to find y'' for the following expression.
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Calculus 1

02/28/18

limit as x approaches 3 from the left of (x+1) /(X^2-x-6)
evaluate analytically.
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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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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

02/18/18

Can someone please help me with this calculus question please
A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 5 ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min... 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

How fast is it’s distance from the origin changing
An ant is walking left along the curve y=2/x. It’s x-coordinate is changing at 1 unit per minute. When the ant is at point (2,1), how fast is it’s distance from the origin changing?
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