07/19/20

Fundamental Theorem

Use the Fundamental Theorem of Calculus to find the "area under curve" of y= -x^2+9x between x=3 and x=6. In you calculations , if you need to round, do not do so until the very end of the problem.

07/18/20

If cos(θ)=24/25, and θ is in Quadrant I, then what is cos(θ/2)?

give answer as fraction

07/16/20

after an antibiotic tablet taken

2) After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function mathcal C(t)=8(e^ -0.44 -e^ -0.64 ) where the time is measured in hours and... more

07/16/20

why all solutions must be non-zero for this polynomial ? f(x)=10x^5-15x^4+12x^3-18x^2+2x-3

why all solutions must be non-zero for this polynomial ? f(x)=10x^5-15x^4+12x^3-18x^2+2x-3

07/16/20

Thomas takes the train to work every morning and the bus back home every night.

While the train goes quicker due to a lack of traffic, the route it take is 25% longer than the route of the bus, and as a result, their travel times are equal. If the bus travels for an hour and... more

07/15/20

Find the critical numbers of the function.

g(t) = |2t − 3|

07/15/20

Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of f(6) − f(1)?

Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of f(6) − f(1)?____≤ f(6) − f(1) ≤_______

07/14/20

A rancher has 2600 feet of fence to enclose a rectangular region that lies along a straight river.

A rancher has 2600 feet of fence to enclose a rectangular region that lies along a straight river. If no fence is used along the river (see the figure), find the dimensions needed to... more

07/12/20

Evaluate the limit. (I could not figure out the answer)

lim x → ∞ (xe6/x-x)

07/12/20

Use a linear approximation (or differentials) to estimate the given number.

(1.999)3=_______

07/12/20

Approximate the horizontal and vertical components of the vector that is described. (Round your answers to two decimal places.)

Approximate the horizontal and vertical components of the vector that is described. (Round your answers to two decimal places.)A child pulls a sled through the snow by exerting a force of 30 pounds... more

07/11/20

I really need help

If 6 + x + y = 20 and x + y = k, then 20 - k =

07/08/20

Derivatives Opposite

Find f.f ''(x) = −2 + 30x − 12x2,    f(0) = 2,    f '(0) = 14f(x) = ?

07/07/20

use a geometric series to represent .....

use a geometric series to represent f(x)= (x2)/(3-5x) as a Maclaurin series. What is its radius of convergence of the series?

07/06/20

Differentiate the function.

H(z) = ln(a2-z2/a2+z2

07/03/20

Solve the differential equation

Solve the differential equationdz/dt +5et+z = 0Please show detailed work. I know that the answer for sure is not z= -t+c

07/01/20

Find the derivative

f(x)=ln(x/x2+1)I know we use the chain rule, but I'm stuck right after that.

06/30/20

Find the values of x on the curve below at which the tangent is horizontal. Use n as an arbitrary integer.

Find the values of x on the curve below at which the tangent is horizontal. Use n as an arbitrary integer.y = sin(x) / 2 + cos(x)x=__________

Trigonometric Substitution Integration

4.) ∫((9-25x^2)^(1/2)*dx)/(x^2)

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