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Grade 12 practice chapters
561–580 of 600 matching chapters · Page 29 of 30
Clear filtersGrade 12 · Chapter 561
Cubic derivatives · Cubic coefficient a=-0.5; Linear coefficient b=3
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=-0.5; Linear coefficient b=3.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 562
Substitution and bounds · Exponent factor k=0.45; Final upper bound B=1.5
Integrate from x=0 to x=0.9. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.45; Final upper bound B=1.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 563
Binomial probability · Trial count n=10; Success probability p=0.7
Use success count k=6. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=10; Success probability p=0.7.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 564
Cubic derivatives · Cubic coefficient a=0; Linear coefficient b=-3
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=0; Linear coefficient b=-3.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 565
Substitution and bounds · Exponent factor k=0.5; Final upper bound B=1.75
Integrate from x=0 to x=1.05. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.5; Final upper bound B=1.75.
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Open practice chapterGrade 12 · Chapter 566
Binomial probability · Trial count n=11; Success probability p=0.75
Use success count k=7. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=11; Success probability p=0.75.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 567
Cubic derivatives · Cubic coefficient a=0.5; Linear coefficient b=-2.5
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=0.5; Linear coefficient b=-2.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 568
Substitution and bounds · Exponent factor k=0.55; Final upper bound B=2
Integrate from x=0 to x=1.2. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.55; Final upper bound B=2.
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Open practice chapterGrade 12 · Chapter 569
Binomial probability · Trial count n=12; Success probability p=0.8
Use success count k=7. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=12; Success probability p=0.8.
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Open practice chapterGrade 12 · Chapter 570
Cubic derivatives · Cubic coefficient a=1; Linear coefficient b=-2
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=1; Linear coefficient b=-2.
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Open practice chapterGrade 12 · Chapter 571
Substitution and bounds · Exponent factor k=0.6; Final upper bound B=0.5
Integrate from x=0 to x=0.3. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.6; Final upper bound B=0.5.
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Open practice chapterGrade 12 · Chapter 572
Binomial probability · Trial count n=13; Success probability p=0.85
Use success count k=8. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=13; Success probability p=0.85.
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Open practice chapterGrade 12 · Chapter 573
Cubic derivatives · Cubic coefficient a=1.5; Linear coefficient b=-1.5
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=1.5; Linear coefficient b=-1.5.
Question · Worked solution · Animated example
Open practice chapterGrade 12 · Chapter 574
Substitution and bounds · Exponent factor k=0.65; Final upper bound B=0.75
Integrate from x=0 to x=0.45. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.65; Final upper bound B=0.75.
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Open practice chapterGrade 12 · Chapter 575
Binomial probability · Trial count n=14; Success probability p=0.9
Use success count k=9. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=14; Success probability p=0.9.
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Open practice chapterGrade 12 · Chapter 576
Cubic derivatives · Cubic coefficient a=2; Linear coefficient b=-1
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=2; Linear coefficient b=-1.
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Open practice chapterGrade 12 · Chapter 577
Substitution and bounds · Exponent factor k=0.7; Final upper bound B=1
Integrate from x=0 to x=0.6. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.7; Final upper bound B=1.
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Open practice chapterGrade 12 · Chapter 578
Binomial probability · Trial count n=15; Success probability p=0.95
Use success count k=9. Calculate P(X=k), P(X≤k), and the expected count. Givens: Trial count n=15; Success probability p=0.95.
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Open practice chapterGrade 12 · Chapter 579
Cubic derivatives · Cubic coefficient a=-2; Linear coefficient b=2
Evaluate at x=0.4. Find the function value and first and second derivatives at that input. Givens: Cubic coefficient a=-2; Linear coefficient b=2.
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Open practice chapterGrade 12 · Chapter 580
Substitution and bounds · Exponent factor k=0.75; Final upper bound B=1.25
Integrate from x=0 to x=0.75. Find the transformed upper bound under u=kx² and the exact integral, then give a decimal approximation. Givens: Exponent factor k=0.75; Final upper bound B=1.25.
Question · Worked solution · Animated example
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