## Find where function positive, negative or zero

Find where g(x) = (x+1) ex + ex positive, negative or zero. Solution of the example in word. 100 В корзину

## Derivatives of function

Can you suggest a function where this function has certain properties in its derivatives. The (4m+2)th derivative of this function has fixed sign in [ 0 , 3pi/4] and (4m+3)th , (4m+4)th derivatives have...

## Use long division to find the quotient

Use long division to find the quotient. Remember, you must show work to receive credit. 1) (m2 — m + 6) ÷ (m — 3)   2) (n2 + 10n + 18)  ÷ (n +5) ...

## Find the volume of the solid obtained by rotating

Volume shells Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y = 30x — 6×2, y = 0; about the y –...

## Calculate the equivalent impedance

The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z=1/Z1+1/Z2 If Z1=3+5j and Z2=1-3j, calculate Z giving your answer in the form r(cosθ + jsinθ) where...

## Find the greatest common divisor

Find the greatest common divisor of 726 and 275 by using the Euclidean Algorithm Solution of the example in word. 100 В корзину

## Taylor series for functuion

Let  f(x) = 1/(1-2x) (a) Prove by induction that for k ≥ 1                     f(k)(x) = 2kk! / (1-2x)k+1 (b) Show that the Taylor series...

## Calculate the volume of the tetrahedron

Calculate the volume of the tetrahedron whose vertices are the points A = (3, 2, 1), B = (1, 2, 4), C = (4, 0, 3) and D = (1, 1, 7). Solution of...

## Find a formula for the Riemann sum for the function

For the function, find a formula for the Riemann sum obtained by dividing the interval [a, b]  into n equal subintervals and using the right-hand endpoint for each ck. Then take a limit of...

## Prove the trigonometric identity

Prove the identity cos 3θ ≡ 4cos3θ — 3cosθ [Hint: express cos(3θ)  as cos(2θ+θ)]     Solution of the example in word. 100 В корзину

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