Basic Mathematics and vectors

A string of length 40 m is used to make a rectangle . Find maximum possible area of rectangle in m²

• 100

• 200

• 400

• 900

We have 128𝜋 𝑚³ clay to make a solid cylinder. Radius of cylinder for minimum surface area is

• 6m

• 8m

• 4m

• 12m

Let 𝑓(𝑥) = sin 𝑥 + √3 cos 𝑥. Which of the following statement is correct?

• The graph of y = f(x) has minimum value 𝑦 = −1

• The graph of y = f(x) has maximum value 𝑦 = 1

• The graph of y = f(x) has minimum value 𝑦 = −2

• None of these

y = 2𝑥 ³ - 15 𝑥 ² + 36 𝑥 +10 . Maxima of y is at

• X= 1

• X = 3

• X = 1

• X = 4

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D