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Initial value problems Quiz: printable

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Initial value problems Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/initial-value-problems/quiz/

1
f′(x) = 2x, f(0) = 4, find f(x)
Answer: ____________________
2
f′(x) = 3x², f(2) = 10, find f(x)
Answer: ____________________
3
dy/dx = 2x + 1, y = 5 when x = 0, find y
Answer: ____________________
4
dy/dx = 4x + 3, y = 2 when x = 1, find y
Answer: ____________________
5
f′(x) = 3x² + 2, f(1) = 4, find f(x)
Answer: ____________________
6
f′(x) = x², f(3) = 10, find f(x)
Answer: ____________________
7
dy/dx = 10x⁴, y = 3 when x = 1, find y
Answer: ____________________
8
f′(x) = 6x² − 4x, f(1) = 3, find f(x)
Answer: ____________________
9
f′(x) = 12x² − 2x, f(1) = 1, find f(x)
Answer: ____________________
10
dy/dx = 6x² − 6x + 5, y = 1 when x = 0, find y
Answer: ____________________

Answer key

f(x) = x² + 4
f(x) = x³ + 2
y = x² + x + 5
y = 2x² + 3x − 3
f(x) = x³ + 2x + 1
f(x) = x³3 + 1
y = 2x⁵ + 1
f(x) = 2x³ − 2x² + 3
f(x) = 4x³ − x² − 2
y = 2x³ − 3x² + 5x + 1

Every answer solved step by step: steplyclass.com/calculus-1/initial-value-problems/quiz/answers/