
Maximum and Minimum Values Quiz
Quiz
•
Mathematics
•
1st Grade
•
Practice Problem
•
Medium
SHAIDATUL Moe
Used 1+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Seorang tukang kebun mempunyai 100 meter dawai untuk membina plot segi empat. Jika lebar plot adalah x meter dan panjangnya adalah y meter, maka luas L (m²) diberikan oleh:
L = 100x − x²
L = 50x − x²
L = 25x − x²
L = 10x − x²
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Untuk kawasan L = 50x − x², nilai dL/dx adalah:
50x
50 − 2x
2x − 50
25 − x²
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Untuk soalan di atas, nilai x yang memberikan kawasan maksimum adalah:
x = 10
x = 20
x = 25
x = 50
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Diberikan luas sektor A = 15j − j². Cari dA/dj.
15 − 2j
15j − j²
2j − 15
30j − j
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Apabila dA/dj = 0, nilai j yang memberikan kawasan maksimum bagi sektor bulatan adalah:
j = 5
j = 7.5
j = 10
j = 15
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Sebuah kotak terbuka mempunyai asas persegi dengan sisi x cm dan tinggi h cm. Luas permukaan keseluruhan adalah 108 cm². Ungkapan untuk h dalam istilah x adalah:
h = (108 − x²) / 2x
h = (108 − x²) / 4x
h = (108 − 2x²) / x
h = 108 / x²
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Diberikan volume V = 27x − (1/4)x³. Cari dV/dx.
27 − (1/2)x²
27 − (3/4)x²
27x − (3/4)x³
27x² − x³
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