Derivatives
Anti-Derivatives
Integrals
Optimization
Volumes
100
F(x)=1/x^6
What is -6/x^7
100
S(t)= -8t^3 - 4t + 8
What is -2t^4 - 2t^2 + 8t
100
∫(x-5) dx
What is (1/2)x^2 - 5x + C
100
Find the critical #s of F(x)=X^3 - 6x^2
What is CN's= 0,4
100
Find the volume of the region bounded by y=√x x=6 y=0, revolved around the x-axis
What is 18π u^3
200
s(t)=2t^3-10t^2-6t+4
What is 6t^2-20t-6
200
F(x)= 4 - x - 8x^4
What is 4x - (1/2)x^2 - (8/5)x^5
200
∫(4x^3+3)/(x^4+3x) dx
What is ln⁡|x^4+3x|+C
200
Find all values of C using MVT in the interval of [0,16] of F(x)=√x-2x
What is C=4
200
Find the volume of the region bounded by y=√x x=4 y=0, revolved around x=4
What is 256π/15 u^3
300
F(x)=x(x^2+1)
What is 3x^2 + 1
300
F(x)=x^5 + 3x^2 + 6x
What is (1/6)x^6 + x^3 + 3x^2
300
∫(5/x) dx
What is 5 ln⁡|x|+C
300
What is the relative min of F(x)=x^3 - 6x^2
What is (4,-32)
300
Find the volume of the region bounded by y=x^2 y=2x-x^2, revolved around the x-axis
What is 1π/3 u^3
400
F(x)=x^2-cos(x)
What is 2x-sin(x)
400
F(x)= 2/x^2
What is -2/x
400
∫(-2)^4 (x^2-9x)dx
What is -192/6
400
What are the abs. extrema of h(x)=x^4 - 8x^2 on the interval [-1,3]
What is abs. max= (3,9) abs. min= (2,-16)
400
Find the volume of the region bounded by y=x^2, y=4x-x^2, revolved about y=5
What is 16π u^3
500
F(x)=(2x^3-3x^2+6)/x^3
What is (x^3)(6x^2-6x)-(2x^3-3x^2+6)(3x^2)/(x^3)^2
500
F(x)= 2cos(x) - 6sin(x)
What is 2sin(x) + 6cos(x)
500
∫2^3 (3x^2-2x^3) dx
What is -27/2
500
What is the relative max of F(x)= x^3-6x^2
What is (0,0)
500
Find the volume of the region bounded by y=x^3/2 and y=1, revolved about the y-axis
What is 3π/7 u^3
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