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Friday, October 23, 2026

2023 AP CALCULUS BC EXPLANATION SECTION 1 PART A NO.6-10

6. Let y = f(x) be the solution to the differential equation dy/dx = x + y^2 with initial condition f(1) = 2. What is the approximatation for f(1,4) , if Euler’s method is used, starting at x=1 with two steps of equal size ?

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A portion of the slope field for the differential equation dy/dx = x - y is shown in the figure, if the linear function y = f(x) is the solution to the differential equation such that f(-1) = -2 then f(3) = …

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8. If f(x) = sin (e^3x) then f ‘ (x) = …

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9. If the series converges, where A ≠ 0 and B ≠ 0 , what is the sum of the series ?

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10. Of the following series, which can be used with the comparison test to show that diverges?

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Wednesday, October 21, 2026

2023 AP CALCULUS BC EXPLANATION SECTION 1 PART A NO.1-5

1. If g(x) = x^2 √(x+1) , then g’ (3) = …

2. ₀∫⁴ 100 e^(x/4) dx = ...

An airplane’s height above sea level is modeled by the differentiable function y=h(t) , where t is the number of minutes take off and h(t) is measured in feet. The graph of h is shown in the figure for 0≤t ≤15. Of the following, which is the best estimate of the rate at which the plane is rising above sea level, in feet per minute, at time t=9?

4. Let f be a vector valued function with f(0) = (-2,3). If the instantaneousrate of change of f with respect to t is given by (3t^2 +4t+1, 2t^3 + t -2 ) what if f(1)?