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Let f ( x ) = x ^2 ( x ? 3 ) ^6 / ( x^ 2 + 3 ) ^7

Use logarithmic differentiation to determine the derivative.

f ' ( x ) =

Let f ( x ) = x ^2 ( x ? 3 )^ 6 / ( x^ 2 + 3 ) ^7

Use logarithmic differentiation to determine the derivative.

f ' ( x ) =

Part d)

How many red blood cells does the bone marrow produce every second?

(A) 5 million

(B) 7 million

(C) 10 million

(D) 12 million

An aquarium 88 m long, 55 m wide, and 22 m deep is full of water. The hydrostatic force on one end of the aquarium is _____ Newtons?

The equations for free fall near the surfaces of Man and Jupiter Cs in meters, tin seconds) are: Mars, s = 1.86t/2; Jupiter, s = 11.44t/2• How long would it take a rock falling from rest to reach a velocity of 16.6 m/sec (about 60 km/h) on each planet?

If m ? f(x) ? M for a ? x ? b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b ? a) ? b f(x) dx a ? M(b ? a). Use this property to estimate the value of the integral. 16 5 x dx 9 Incorrect: Your answer is incorrect. (smaller value) Incorrect: Your answer is incorrect. (larger value)

Ropes3 m and 5 m in length are fastened to a holiday decoration that issuspended over a town square. The decoration has a mass of 4kg. Theropes, fastened at different heights, make angles of 52

q(p)=2.5/p+3.3; q'(5)

Your GIS team has provided the following elevation raster to your engineering team. As apart of your project planning activities, you were asked to:
Delineate flow direction and flow accumulation for the given elevation raster
Delineate the watershed area based on the flow direction raster.
Estimate the drainage area for the watershed draining to the project outlet. Your raster pixel resolution is 90 meters
Delineate the stream network based on the flow accumulation raster considering a threshold of 40500m2

finding r from r'

find the function r that satisfies the given condition

r'(t) = < SQRT(t) , cos pi(t) , 4/t > ; r(1) =<2,3,4>

1. Suppose f,g : R -> R are continuous on sets Df, Dg C R respectively. Use theoremsfrom class to prove that h(x,y) := f(x) + g(y) is continuous on Df Dg. 2. Let f(x, y) =( x^2 ycos(y)^2) /(x^2 + 1/2y^2). It can be shown that lim(x,y)->(0,0) f(x, y) = 0.(a) Let = 0.1. Use algebra to find a > 0 satisfying the formal denition of thelimit. (You will get extra credit if you can nd a general formula for in termsof , but it is not necessary.)

Find r ⃗ (t)' if r ⃗(t) =Ta ⃗ x (b ⃗ + Tc ⃗ ) where a ⃗ , b ⃗ , c ⃗ are constant vectors. (this is about calculus3)

The question says find the derivative of vector r sub t vector if the given r sub t vector = Ta ⃗ x (b ⃗ + Tc ⃗ )

The reliability R, (0 ?R ? 1) of a certain computer system is R=e^-0.005t . , where t is the time

of operation (in min). Express R = F(t) in polynomial form byexpansion using the first three

non-zero terms of Maclaurin expansion

Let r: Rⁿ →R be the function r(x) ≥ 0 sothat
r² = Σ x²_i =||x||² i=1 to n
(a) Show that ∇r = xˆ = 1/||x||*x = (1/r)*x.

(b) Suppose a vector field, F(x) = f(r)*xˆ, where f is acontinuousfunction.
Show that F = ∇g for some scalar valued function, g :Rⁿ→ R. Give
a precise formula for an answer when f(r) = 1/r²

(c) Compute the Hessian for the function f(r) =1/r² whenn = 3.

1-30

1-20

Mt0. N+20

M+30

An IQ test is normally distributed with mean 100 and standard deviation 15. Just by knowing the mean and standard deviation, we can answer the following questions:

1. Between what two values do approximately 68% of IQ scores lie?

2. Between what two values do approximately 95% of IQ scores lie?

3. Between what two values do approximately 99.7% of la scoreslie?

4, What percentof IQ scores are less than

Find y' if y= x^2x

Evaluate the triple integral 

triple integral(omega) of (-x-3y+z)dV,

where omega is bounded by x^2+y^2+z^2=16, z>= (sqrt(x^2+y^2))/3 

I=?v

Evaluate the triple integral 

triple integral(omega) of (-x-3y+z)dV,

where omega is bounded by x^2+y^2+z^2=16, z>= (sqrt(x^2+y^2))/3 

I=?