18 Answered Questions for the topic Calculus proofs

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 =...
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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...
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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?

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!...
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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

04/08/16

#### prove 1/infiity = 0

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

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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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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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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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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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

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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