lim(x-√(x^2+1)) as x goes to infinity

lim(x-√(x^2+1)) as x goes to infinity

Use the intermediate value theorem to prove that the equation x^3=x+8 has at least one solution

the integral is from 0 to pi/2 of cos^5(X). One group says 1.6 another says 0 and another says 8/15. How do I know which one is accurate without making any calculations?

This is an equation used in a synthetic network generator 〈k〉 = ((2*π^(D/2)*δ*μ*I1) / Γ(D/2) ) * 〈κ〉^2 where 〈k〉 is the desired average degree of the...

I have no idea how to do this question. The 'n' had stuck me.

I'm not sure how to start this one. All I know is sec^2 is (1/cosx)^2 is this right?

This question is from isc class 12 book

How do you find the roots of polynomial equations with highest powers of either 3 or 4. Step by step directions would helike please. Well, i have tried those methods. I still cant find...

Please help me differentiates this.

Is there any possible outcome that 0.00000x^3 is not equal to 0? I have to derivative this equation C(x)=4.2+5.4x-0.001x^2+0.00000x^3. And I found out that 0.00000x^3...

Write the iniequality and use it to solve the problem: At the San Diego Zoo, you can either pay $22.75 for the entrance fee or $71 for the yearly pass, which entitles you to unlimited...

Determine the height from which an object must be dropped so that it will have the same speed in ft /?s when it lands as the height in feet from which it was dropped.

y=x^sqrtx

y=cos^4 *x+sin^4 *x

In population forecasting, logistic curve method is used in long term estimates. Can you show me how the formula for saturated population, the constants a and b are derived?

y=4^-x *sinx

y=x^(log3(x)) Then dydx = ?? please express answer in terms of natural logs

A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce it rises vertically to 2/3 the height from which it fell. (i)...

The function g: x ----> a + bsinx where a=4 and b=2 is defined for the domain pi/2 ≤ x ≤ k. Find the largest value of k for which g(x) has an inverse.

A spotlight is on the ground 50ft from a residence hall with vertical sides. A man who is 6ft starts from the spotlight and walks to the hall at a rate of 4ft/s. Determine how fast the top of his...

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