Download Econ 100 Exam 4 Maths practice worksheet Solve for y 1. y = 2. y = 3

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Econ 100
Exam 4 Maths practice worksheet
Solve for y
1. y =
2−5 3−4
2−6 3−3
3. y =
5−3 3−5
5−6 36
2. y =
10−3 3−10
10−6 3−6
4. y =
2−2 5−3
5−6 2−2
dC
) and APC ( YC ):
Derive MPC ( dY
Solve for loge (y):
1. y 6 = x3
1. C = 10 + 0.6Y
2. y −3 = x−4
2. C = 70 + 0.75Y
3. y 7 = x2
Derive
3. C = 10 + Y
dy
dx :
1. y = e−0.5x + x2
3. y = 32 + loge x + x4
2. y = 15 + loge x + 3x
4. y = 72 + loge x + x5 + 3x4
Derive
∂y
∂x :
1. y = 15xz + x5 z 2
5. y = 12ez loge x + x5 loge z
2. y = 25z + 27xz + x5 + z 2
6. y = 15ez + 12ex + x loge z + z loge x
3. y = 32z 2 + 18zx + 12x2 z 2 + 10x
7. y = e0.8x + e0.2z
4. y = 10xz + ex loge z + 13 loge z
8. y = 5ez + 3e0.9x + x2 loge z + 2z 3 loge (x2 ) + x5 z −2
Find
∂y
∂L
+
∂y
∂G :
y=
a
1−b(1−t)
−
bL
1−b(1−t)
+
e−f r
1−b(1−t)
+
G
1−b(1−t)
Econ 100
Exam 4 Maths practice worksheet
Solve for y
1. y =
2−5 3−4
2−6 3−3
3. y =
5−3 3−5
5−6 36
2. y =
10−3 3−10
10−6 3−6
4. y =
2−2 5−3
5−6 2−2
dC
Derive MPC ( dY
) and APC ( YC ):
Solve for loge (y):
1. y 6 = x3
1. C = 10 + 0.6Y
2. y −3 = x−4
2. C = 70 + 0.75Y
3. y 7 = x2
Derive
3. C = 10 + Y
dy
dx :
1. y = e−0.5x + x2
3. y = 32 + loge x + x4
2. y = 15 + loge x + 3x
4. y = 72 + loge x + x5 + 3x4
Derive
∂y
∂x :
1. y = 15xz + x5 z 2
5. y = 12ez loge x + x5 loge z
2. y = 25z + 27xz + x5 + z 2
6. y = 15ez + 12ex + x loge z + z loge x
3. y = 32z 2 + 18zx + 12x2 z 2 + 10x
7. y = e0.8x + e0.2z
4. y = 10xz + ex loge z + 13 loge z
8. y = 5ez + 3e0.9x + x2 loge z + 2z 3 loge (x2 ) + x5 z −2
Find
∂y
∂L
+
∂y
∂G :
y=
a
1−b(1−t)
−
bL
1−b(1−t)
+
e−f r
1−b(1−t)
+
G
1−b(1−t)
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