Price \$5
Mathematics 2 Pages

# Engineering Mathematics

##### Question

1.Find the derivative of the following function using the definition of the derivative (first principle).
• 𝑦=4𝑥2−12𝑥+40
• 𝑔(𝑡)=𝑝𝑝+2

2.A camera is located 50 feet from a straight road along which a car is traveling at 100 feet per second. The camera turns so that it is pointed at the car at all times. In radiant per second, how fast is the camera turning as the car passes closest to the camera?

3.Differentiate the following functions 𝑦=𝑥6−4𝑥2+2𝑥+14
𝑦=𝑒3𝑥3
𝑦=4(4−𝑥)3

4.Differentiate the following functions 𝑦=𝑠𝑖𝑛3𝑥
𝑦=3𝑡𝑎𝑛 (𝑥+3)
𝑦=6𝑐𝑜𝑠3𝑥

5.Differentiate the following functions 𝑦=5𝑥21−𝑥
𝑦=𝑥𝑥+3
𝑦=3𝑥2+4𝑥+3𝑒𝑥

6.Differentiate the following functions 𝑦=(𝑥−4)3(𝑥+3)1
𝑦=(𝑥−4)3(𝑥+3)
𝑦=√𝑥+2(𝑥−2)2Type equation here.

7.Find the first four derivatives for each of the following
𝑦=3𝑥2+8𝑥1/2+𝑒𝑥
𝑦=𝑐𝑜𝑠𝑥
𝑦=𝑙𝑛 (1+𝑡2)

8.Find for the following functions
𝑥3𝑦5+4𝑥=7𝑦3+2
2𝑥2+2𝑦2=10

9.Find the gradient function of the tangent line to the parametric curve given by
• 𝑥=3𝑠𝑖𝑛𝜃, 𝑦=𝑐𝑜𝑠2𝜃.
• 𝑥=𝑏(𝜃−𝑠𝑖𝑛𝜃), 𝑦=𝑏(1−𝑐𝑜𝑠𝜃).

10.A cylindrical can is to be made to hold 2L of oil. Find the dimensions that will minimize the cost of metal to manufacture the can

##### Solution

Title: Engineering Mathematics
Length: 2 pages (550 Words)
Style: MLA

Preview

Engineering Mathematics

• Y=4x2-12x+40. The formula for first principle of differentiation is y¢=. Since y=4x2-12x+40, then y(x+Dx)=4(x+Dx) 2-12(x+Dx) +40. This is equivalent to y(x+Dx) =4x2+8xDx +4Dx2-12x-12Dx +40. Substitute it in the formula.
\$5.00

* Once your purchase is processed by paypal you will be redirected back to this page and you'll have the option to download the paper. We'll also send the paper to your paypal email address as proof of purchase.

#### Order a high quality custom written paper

With a team of proficient and enthusiastic writers, we are able to produce a compelling text on practically any topic.

Or

## Related Essays

Mathematics 10 Pages

### MATLAB sessions: Labo...

\$21.00
Mathematics 2 Pages

### education lesson plan/...

\$5.00
Mathematics 2 Pages

\$5.00