Q and A for the topic: General

Obtain the gradient vector for the function 𝑓(𝑥,𝑦)=5𝑥²𝑦³, at the point (𝑥,𝑦)=(3,2)

approximate value of the area of the region y=4x^(2),y=e^(x)

The quality manager at Bestiful Company is certifying a new process that must produce 95% (or better) good product before the process is considered proven. A sample of 40 containers from the process line are tested, and 93% are found to be good. (a) Formulate the appropriate hypotheses and test them using an α = 0.01 significance level. (b) Explain your results.

3 divided by 135

Calculate the derivatives of the functions: 𝑦 = 6𝑥5− 8𝑥4 + 3𝑥3 + 𝑥 − 15

Watch or read an interview—it can be focused on a person that you are interested in (such as a celebrity discussing their life) or a cause you are interested in (such as someone describing the impact that a charity has had on their life). The interview can be accessed via a YouTube video, a documentary, or an article from a magazine or newspaper (e-versions of these publications are entirely acceptable).

Jack purchased a new stereo that sells for $1200 including tax and delivery. He paid $750 down and the remaining cost in five equal monthly payments. What were his monthly payments?

log5 1 25 = −2,

A secretary is making an inventory of office supplies. She finds 12 full boxes of blue pens which have 15 pens in each box. How many pens will she indicate on the inventory?

On February 1st, Scott had a balance of $972 in his checking account. During the month, he made deposits of $89, $52, $275, and $218. He wrote checks for $39, $218, $478, and $127.What was his checking account balance at the end of the month?

Determine the domain of the following function t𝑓(𝑥) = 𝑥 – 3 / 𝑥 2 + 6𝑥 − 16

A square that is 6ft on a side is placed inside a rectangle that has a width of 10ft and a length of 18ft. What is the area of the region inside the rectangle that surrounds the square?

14. Simon has a race track with two cars. The first car does a complete lap of the track in 32 seconds and the second does it in 21 seconds. Carlos also has his race track with two cars, but the first makes a complete lap in 36 seconds and the second in 42 seconds. Since Carlos always loses when they play, he proposes to Simón that the winner be the one who has both cars at the finish line on his track at the same time. Who will win?

Two particles of different masses are separated by 1000 m in space, if the mass of particle A is equal to 1050 g and the mass of particle B is equal to 80 kg. Calculate the gravitational force considering that the universal gravitational constant is 6.67x10-11 m3/kg s2. Express the result in Newtons.

234 kg → hg

1,235 m → km

Is there a right triangle that has its side b equal to 3 and its porojection of b equal to 4 can you solve?

In a circle with a radius of 226cm long, a chord measures 448cm. Determines the length of the two segments into which the chord divides the diameter perpendicular to it

The formula C = (5/9) (F −32), where F ≥ −459.67 expresses the temperature “C” in degrees Celsius as a function of the temperature on the \F" scale, in Fahrenheit. Find a formula for the function inverse and interpret it. What is the domain of this inverse function?

An initial $1800 investment was worth $2299.16 after two years and nine months. What semi-annually compounded nominal rate of return did the investment earn?