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19 Answered Questions for the topic Calculus proofs

Calculus Proofs Calculus Matrices

10/07/18

Matrices question. PLSSSSS HELP.

4. Let n≥2, let A and B b en×n matrices and let On be the n×n matrix with every entry 0.(b) Suppose that A2 = On. Show that In − A is invertible, and that (In − A)-1 = In + A.(c) Suppose that Am =... more
Calculus Proofs Math Calculus

09/22/18

Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).

 Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).   Hint: Use the Mean-Value Theorem.(Recall that, if P = (x0,x1,...,xn), then... more
Calculus Proofs Calculus Limits

07/30/18

Find N(a) such that f(n)<a for all n>N(a) where f(n)=1/(5n^2-8).

n are natural numbers, and a is a real positive number. I can find N in terms of a but this question is from a epsilon-delta limit chapter, so I have no idea how to find it whilst relating it to... more
Calculus Proofs

03/31/18

I require help for this quadratic & equation of a circle problem involving indices.

Two equations are defined as: 3y -2x +3 =0 x2+y2=45 What is the value of y-x? 
Calculus Proofs Calculus Limits

03/13/18

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits?

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits? This is in relation to radioactive decay for those that are wondering, thank you for your help and time!... more
Calculus Proofs

09/16/17

How do I prove this statement using properties of numbers: If a < 0, b < 0, then √ab ≤ −(a+b)/2?

Calculus: Proofs
Calculus Proofs

04/08/16

prove 1/infiity = 0

prove that 1/infinity is equal to zero using definition of a derivative 
Calculus Proofs

03/22/16

prove that is true for all integers n>3

1/n+1/(n+1)+...1/2n>0.63 Prove that in two ways.
Calculus Proofs

02/12/16

How does the Lagrange Form of the Error Bound give you the maximum expected error?

The Lagrange form of the Error Bound states that the n+1 term of a Taylor Approximation gives you the remainder such that F(x)=Pn(x)+Rn(x), but what does that mean? I understand that the goal is to... more
Calculus Proofs Maximum And Minimum Value

01/15/16

Prove or disprove: (a) h + g has a relative maximum at x0 (b) h-g has a relative maximum at x0.?

Let h and g have relative maxima at x0.
Calculus Proofs Geometric Proofs Proof

12/02/15

Show that the rectangle of a perimeter is always a square.

Show that the rectangle of a minimum perimeter for a given area A is always a square.
Calculus Proofs Calculus Calculus 3

04/09/15

Using the delta-epsilon method, prove that the limit as x approaches 2 of 1/x is equal to 1/2.

When finding delta, use the absolute value of x-2 is less than 2 so that delta=min{2,__}      This is what I've done so far:   f(x)=1/x L=1/2 a=2   Find delta: absolute value of... more
Calculus Proofs Calculus 1

02/09/15

Can anyone finally help me with this Calculus proof?

Using derivatives a = dv/dt, v = ds/dt and |v| = speed, show that if an object is moving on a straight line, then its speed is increasing when its velocity v and its acceleration a have the same... more
Calculus Proofs

02/08/15

Can anyone help with a Calculus proof?

Using derivatives a = dv/dt, v = ds/dt and |v| = speed, show that if an object is moving on a straight line, then its speed is increasing when its velocity v and its acceleration a have the same... more
Calculus Proofs Calculus Math Word Problem

12/02/14

I want to know about the equation

A cone is made of a circular plate of a given radius R by cutting a sector of some angle Q and welding the remaining edges. Draw the graph of the volume V of the resulting cone as a function of Q .... more
Calculus Proofs

09/28/14

use the quotient remainder theorem with d=3 to prove that the product of any two consecutive integers has the form 3k or 3k+2 for some integer k

I am trying to figure out how to do this proof using the quotient remainder theorem
Calculus Proofs

08/06/14

calculus proof

If f(x)=Σx4n/(4n)! ....prove that the 4th derivative equals f (x)
Calculus Proofs Limits Limits Of A Function

07/22/14

What are the real world application of limits (calculus limits) for Industrial Engineering? discuss and Give a concrete examples.

Hi, buddies. Please me in my task to answer this questions. As far as my questions, I'm just looking for "What are the real world application of limits (calculus limits) for Industrial Engineering?... more
Calculus Proofs Calculus Trigonometry

12/11/13

Q2 POW #3 -Trig Identities

1) given the double angle identity for cosine: cos2θ=cos2θ-sin2θ      Prove: cos3θ = cos3θ - 3cosθsin2θ         and: cos4θ = cos4θ - 6cos2θsin2θ + sin2θ 2) Continue this process, finding an... more

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