AP CALCULUS SEMESTER EXAM
2025/2026 QUESTIONS AND ANSWERS
100% PASS
The Graph Of F Is Shown, For Which Of The Following Values Of X Is F'x Positive And Increasing?
- Ans E
Let F B A Function That Is Continuous On The Closed Interval [2,4] With F(2)=10 And F(4)=20.
Which Of The Following Is Guaranteed By The Intermediate Value Theorem? - Ans F(X)=13
Has At Least One Solution In The Open Interval (2,4)
The Graph Of (E^Tanx)-2 Crosses The X-Axis At One Point In The Interval [0,1]. What Is The
Slope Of The Graph At This Point? - Ans 2.961
A Particle Moves Along The X Axis. The Velocity Of The Particle At Time T Is Given By V(T), And
The Acceleration Of The Particle At Time T Is Given By A(T). Which Of The Following Gives The
Average Velocity Of The Particle From T=0 To T=8 - Ans 1/8!V(T)Dt From 0 To 8
The Graph Of F' Is Shown Above. Which Of The Following Statements Must Be True? Bell Graph
- Ans I And Iii Only
Water Is Pumped Into A Tank At A Rate Of R(T)=30(1-E^-.16t) Gallons Per Minute. If The Tank
Contained 800 Gallons Of Water When The Pump Was Turned On, How Much Water To The
Nearest Gallon Is In The Tank After 20 Minutes? - Ans 1220 Gallons
pg. 1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, If F'= The Square Root Of (X^4+1)+X^3-3x, Then F Has A Local Maximum At X= - Ans .350
The Graph Above Gives The Velocity In Ft/Sec Of A Car For 0<T<8, Where T Is The Time In
Seconds. Of The Following, Which Is The Best Estimate Of The Distance Traveled By The Car
From T=0 Until The Car Comes To A Complete Stop? - Ans 210ft
For -1.5<X<1.5, Let F Be A Function With First Derivative Given By F'x= E^(X^(4)-2x^(2)+1)-2.
Which Of The Following Are All Intervals On Which The Graph Of F Is Concave Down? - Ans (-
1.5,-1) And (0,1)
The Graph F' Is Shown In The Figure Above. The Function F Has A Local Maximum At
X=?Mountain Looking Graph Crosses The X Axis At X=1 - Ans -3
If F'>0 For All Real Numbers X And The Integral From 4 To 7
F(T)Dt=0, Which Of The Following Could Be A Table Of Values For The Function F? - Ans X
F(X)
4 -4
5 -2
75
The Graph Of F'' Is Shown Above For -2<X<4, What Are All Intervals On Which The Graph Of The
Function F Is Concave Down? - Ans -2<X<-1 Nd 1<X<3
A Person Whose Height Is 6 Feet Is Walking Away From The Base Of A Streetlight Along A
Straight Path At A Rate Of 4 Ft/Sec. If The Height Of The Streetlight Is 15 Feet, What Is The Rate
At Which The Person's Shadow Is Lengthening? - Ans 2.667 Ft/Sec
A Particle Moves Along A Line So That Its Acceleration For T>0 Is Given By
A(T)=(T+3)/(T^(3)+1)^1/2. If The Particles Velocity At T=0 Is 5, What Is The Velocity Of The
Particle At T=3? - Ans .713
pg. 2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
2025/2026 QUESTIONS AND ANSWERS
100% PASS
The Graph Of F Is Shown, For Which Of The Following Values Of X Is F'x Positive And Increasing?
- Ans E
Let F B A Function That Is Continuous On The Closed Interval [2,4] With F(2)=10 And F(4)=20.
Which Of The Following Is Guaranteed By The Intermediate Value Theorem? - Ans F(X)=13
Has At Least One Solution In The Open Interval (2,4)
The Graph Of (E^Tanx)-2 Crosses The X-Axis At One Point In The Interval [0,1]. What Is The
Slope Of The Graph At This Point? - Ans 2.961
A Particle Moves Along The X Axis. The Velocity Of The Particle At Time T Is Given By V(T), And
The Acceleration Of The Particle At Time T Is Given By A(T). Which Of The Following Gives The
Average Velocity Of The Particle From T=0 To T=8 - Ans 1/8!V(T)Dt From 0 To 8
The Graph Of F' Is Shown Above. Which Of The Following Statements Must Be True? Bell Graph
- Ans I And Iii Only
Water Is Pumped Into A Tank At A Rate Of R(T)=30(1-E^-.16t) Gallons Per Minute. If The Tank
Contained 800 Gallons Of Water When The Pump Was Turned On, How Much Water To The
Nearest Gallon Is In The Tank After 20 Minutes? - Ans 1220 Gallons
pg. 1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, If F'= The Square Root Of (X^4+1)+X^3-3x, Then F Has A Local Maximum At X= - Ans .350
The Graph Above Gives The Velocity In Ft/Sec Of A Car For 0<T<8, Where T Is The Time In
Seconds. Of The Following, Which Is The Best Estimate Of The Distance Traveled By The Car
From T=0 Until The Car Comes To A Complete Stop? - Ans 210ft
For -1.5<X<1.5, Let F Be A Function With First Derivative Given By F'x= E^(X^(4)-2x^(2)+1)-2.
Which Of The Following Are All Intervals On Which The Graph Of F Is Concave Down? - Ans (-
1.5,-1) And (0,1)
The Graph F' Is Shown In The Figure Above. The Function F Has A Local Maximum At
X=?Mountain Looking Graph Crosses The X Axis At X=1 - Ans -3
If F'>0 For All Real Numbers X And The Integral From 4 To 7
F(T)Dt=0, Which Of The Following Could Be A Table Of Values For The Function F? - Ans X
F(X)
4 -4
5 -2
75
The Graph Of F'' Is Shown Above For -2<X<4, What Are All Intervals On Which The Graph Of The
Function F Is Concave Down? - Ans -2<X<-1 Nd 1<X<3
A Person Whose Height Is 6 Feet Is Walking Away From The Base Of A Streetlight Along A
Straight Path At A Rate Of 4 Ft/Sec. If The Height Of The Streetlight Is 15 Feet, What Is The Rate
At Which The Person's Shadow Is Lengthening? - Ans 2.667 Ft/Sec
A Particle Moves Along A Line So That Its Acceleration For T>0 Is Given By
A(T)=(T+3)/(T^(3)+1)^1/2. If The Particles Velocity At T=0 Is 5, What Is The Velocity Of The
Particle At T=3? - Ans .713
pg. 2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
