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How do you determine whether the function #f(x)=3x^5  20x^3# is concave up or concave down and its intervals?

Question #490a9

Given #f(x) = 2x + 1#, #g(x) = 3x³ 1# how do you find f(g(x))?

Question #6dc14

How do you rewrite #((a^2b^5)/c^3)^2# using a positive exponent?

How do you find the Integral of #sqrt(x^2  16)/ x dx#?

What is the angle between #<1,7,2 > # and #<3,5,1> #?

What is the angle between #<1 ,3,8># and #< 4,1,5>#?

If a current of 40 mA flows through a series circuit consisting of a 0.4 µF capacitor and a resistor in series with a 4 kHz, 40 Vac source, what is the total circuit impedance?

How do you find the asymptotes for #f(x) = (3x + 5) / (2x  3)#?

Why can't a triangle have a right angle and an obtuse angle?

How do you translate into symbols: The difference between n and 14?

Given #f(x)=x^2+1# with domain #{2,1,0, 1,3}# what is the range?

How do you determine if #f(x) = x^3 + x# is an even or odd function?

The cost function for a product is C(x)=0.8x^2 +120x+110.
How to find average cost over [0,600] ?

What is needed to produce an electromagnet?

What is the domain and range of #y=2x6#?

What are the applications of power series in electrical engineering?

What is the binomial theorem?

What ions are present in NaCl, Na2CO3, MgSO4, and NH4Cl?

What is the derivative of #2^sin(pi*x)#?

The difference between the degree measures of two supplementary angles is 80°. What is the degree number of the larger angle?

An atom contains 70 protons, 70 electrons, and 99 neutrons. What is the mass number?

How do you implicitly differentiate #ln(xy)=xy #?

What is acetylcholine classified as?

Question #d9e88

If #A= <6 ,9 ,1 ># and #B= <4 ,1 ,4 >#, what is #A*B A B#?

What is the limit of #sinx / x# as x goes to infinity?

What is the least squares regression model for the following data points?: (1,3), (2,6), (3,19), (2,7), (8,9), (10,25)

A balanced lever has two weights on it, the first with mass #3 kg # and the second with mass #37 kg#. If the first weight is # 9 m# from the fulcrum, how far is the second weight from the fulcrum?

A weather rocket is launched straight up. Seconds into the flight, its velocity is 130m/s and it is accelerating at 19 m/s^2. At this instant, the rocket's mass is 59 kg and it is losing mass at the rate of 0.55 kg/s. What is the net force on the rocket?

How would you balance: C3H8 + O2 > CO2 + H2O?

A 2150 kg truck traveling north at 42 km/h turns east and accelerates to 61 km/h. (a) What is the change in the truck's kinetic energy? (b) What is the magnitude of the change in its momentum ?

How do you evaluate #sec(18pi)#?

Question #ce2b6

Is it correct to write #1^@=2pi/360^@#? Yes or no, and also why?

How do you find the derivative of #sin(x)/[1cos(x)]#?

How do you prove the statement lim as x approaches 4 for # (x^2) = 4# using the epsilon and delta definition?

How do you condense #ln(1+x^9)+1/2(ln(x)ln(sin(x) #?

What are synchronous machines?

What is the trigonometric form of #12 e^( ( pi)/2 i ) #?

If a cup of coffee has temperature 95∘C in a room where the temperature is 20∘C,
then, according to Newton's Law of Cooling, the temperature of the coffee after t
minutes is T(x)=20+75e^(t/50). ?

Question #4444b

What are the asymptotes for #(x^2+4x+3)/(x^2  9)#?

How do you use the second fundamental theorem of Calculus to find the derivative of given #int cos 2t dt# from x to pi/4?

How do you simplify #1/(2+3i)# and write in a+bi form?

How do you solve #2/(3+x) = 25#?

How do you prove #cos 3 theta = 4 cos^3 theta  3 cos theta#?

How does genetics use the principles of probability?

Question #eefeb

Does #a_n=x^n/(n!) # converge for any x?

What is the difference between mole and molecule?

How do you graph #x + y = –2#?

How do you find the derivative of #lnxsqrt(x^2+1)#?

What type of compound is CH3CH2CH3?

∥v∥=3
∥w∥=4
The angle between v and w is 1.2 radians.
How to calculate ? a) v⋅w =
,(b) ∥1v+1w∥=
, (c) ∥4v−4w∥=

What is the greatest common factor of 21 and 63?

A circle has a center at #(1 ,3 )# and passes through #(2 ,4 )#. What is the length of an arc covering #pi # radians on the circle?

Question #adc16

What is #sqrt{sqrt3 + sqrt (3 + 8 sqrt (7 + 4 sqrt3#?

A ball with a mass of #14 kg# moving at #15 m/s# hits a still ball with a mass of #17 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?

Question #55e72

A projectile is shot from the ground at an angle of #(5 pi)/12 # and a speed of #4/9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

It takes 23.5 kJ of heat energy to raise the temperature of 100 g of a substance by 50°C. What is the substance?

The girl's brother stands at the edge of the Golden Gate Bridge and throws a penny upwards at 29 m/s at an angle of 34°. How long does it take the penny to fall to the water, 227m below? How far from the base of the bridge does the penny hit the water?

How do you find the determinant of #((1, 0, 0, 0), (sqrt3, 2, 0, 0), (0.003, 0, 3, 0), (1.432, sqrt37, pi, 1))#?

For #f(x)=2^x # what is the equation of the tangent line at #x=5#?

How do you find the determinant of #((2, 3, 5), (0, 1, 3), (0, 0, 2))#?

Question #a8f63

Question #f45fa