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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)