## 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) ...

## 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

## Solve the recurrence relation

Solve the recurrence relation bk = 7bk-1 — 10bk-2 for all k ≥ 2 and b0 = 2, b1 = 2.   Solution of the example in word. 100 В корзину

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