19 Answered Questions for the topic Calculus proofs

#### 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 =...
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#### 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...
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#### 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...
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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?

#### 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!...
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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...
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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.

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.

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...
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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...
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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...
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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 ....
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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)

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?...
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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...
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