Flopjie changes £50 into Mexican pesos. The exchange rate is £1 = 25 Mexican pesos. How many pesos does she receive?

Mathematics
Flopjie changes £50 into Mexican pesos. The exchange rate is £1 = 25 Mexican pesos. How many pesos does she receive?

ScanSolve AI Answer

Answer

f'(x)=f(x)

Step 1: The function is given as
f(x)=∫axf(t) dt.f(x)=\int_{a}^{x} f(t)\,dt.

Step 2: By the Fundamental Theorem of Calculus (FTC),
if F(x)=∫axg(t) dt,F(x)=\int_{a}^{x} g(t)\,dt,
then F′(x)=g(x).F'(x)=g(x).

Step 3: Here, g(t)=f(t),g(t)=f(t),
so substitute to get

**$\boxed{f'(x)=f(x)}$**
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The function is given as f(x)=_a^x f(t)\,dt. Step 2: By the Fundamental Theorem of Calculus (FTC), if F(x)=_a^x g(t)\,dt, then F'(x)=g(x).

Flopjie changes £50 into Mexican pesos. The exchange rate is £1 = 25 Mexican pesos. How many pesos does she receive?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: The function is given as f(x)=_a^x f(t)\,dt. Step 2: By the Fundamental Theorem of Calculus (FTC), if F(x)=_a^x g(t)\,dt, then F'(x)=g(x). Step 3: Here, g(t)=f(t), so substitute to get f'(x)=f(x).** f'(x)=f(x)