FBQ1: Differentiation measures ___________ Answer: *Rate of Change* FBQ2: (a+b) = (b+a) Satisfies the ________ law of matrix Answer: *Commutative* FBQ3: Given that y = 7x3, the derivative is ______________ Answer: *21x2* FBQ4: If the difference function is p=15q3-3q4, dp/dq is _________ Answer: *45q2-12q3* FBQ5: Given that q = 5p + 45, the inverse derivative of the function is ________ Answer: *1/5* FBQ6: Given that q = p5 + p, find the inverse derivative of the function is ________ Answer: *5p4+1* FBQ7: Given that q = p5 + p, find the inverse derivative of the function ________ Answer: *5p4+1* FBQ8: If y = x4, dy/dx is ____________ Answer: *4x3* FBQ9: If the function is given as f(j) = 20j – 10, the rate of change is __________ Answer: *20* FBQ10: Find the 5th derivative of the function y = 4x4 + 7x3 + 2x2 is ____________ Answer: *0* FBQ11: Suppose we have an equation of the form q = 4p3+ p2+ 20, ________ is the 1st derivative Answer: *12p2 + 2p* FBQ12: Suppose we have an equation of the form q = 4p3+ p2+ 20, ________ the 2nd derivative Answer: *24p + 2* FBQ13: Suppose we have an equation of the form q = 4p3+ p2+ 20, _________ the 3rd derivative Answer: *24* FBQ14: Differentiation is a primitive function in calculus. True or False Answer: *False* FBQ15: _______ is the Integrate of ∫xdx Answer: x22 FBQ16: _________ is the Integrate the function of ∫6xdx Answer: *6ln x + c* FBQ17: The computed function of ∫3x3-x+2dx is 34x4-12 Answer: *2x + c* FBQ18: _________ is the determined and evaluated marginal gain function of the profit function π = Q2 −16Q + 50 at Q = 4 Answer: *-8* FBQ19: _________ is the determined and evaluated marginal gain function of the profit function π = Q2 −16Q + 50 at Q = 6 Answer: *-4* FBQ20: _________ is the determined and evaluated marginal expenditure of the function P = Q3 + 4Q + 3 at Q = 4 Answer: *332* FBQ 21: _______ is the determine and evaluate marginal expenditure of the function P = Q3 + 4Q + 3 at Q = 7 Answer: *2618* FBQ22: If the total consumption function is C =1000 + 0.88Y, _______ is the marginal propensity to consume (MPC). Answer: *0.88* FBQ23: If the total consumption function is C =50 + 0.2Y, _________ is the marginal propensity to consume (MPC). Answer: *0.2* FBQ24: Assuming that marginal cost (MC) is 50 + 60Q – 18Q2, if fixed cost is 75; _________ the total cost (TC). Answer: *50Q + 30Q2 – 6Q3* FBQ25: Given that g = -2x3 + 4x2 + 9x – 15, _________ is gf Answer: *- 6x2 + 8x + 9* FBQ 26: If g = -2x3 + 4x2 + 9x – 15, at x = 3, the test is ____________ Answer: *Concave* FBQ 27: Given that g = (5x2 – 8)2, at x = 3, the test is ___________ Answer: *Convex* FBQ 28: The graph and relation are not the right tools to solve optimality problems, except method of ____________ Answer: *Relative extreme* FBQ 29: In the theory of production given as Q = g (L, K), Q is said to be an _______variable  Answer: *Endogenous* FBQ 30: In the theory of production given as Q = g (L, K), L and K are said to be _______ variables Answer: *Exogenous* FBQ 31: The partial derivative of a two-variable function such as Z=5x2y4 with respect to x is __________  Answer: *10xy4* FBQ32: The partial derivative of a two-variable function such as Z=5x2y4 with respect to y is _________ Answer: *20x2y3* FBQ33: One of the ways through which constrained problem organisation can be resolved is ______________ Answer: *Substitution of variable* FBQ34: One of the ways through which constrained problem organisation can be resolved is _____________ Answer: *Substitution of variable* FBQ35: When there are several constraints to be considered, the methods of substitution and elimination of variables become ineffective and _______ method become the best Answer: *Lagrange multiplier* FBQ36: Partial differentiation will no longer be effective when _______ endogenous variables are involved Answer: *Two* FBQ37: A matrix is a ____________ Answer: *rectangular array of numbers* FBQ38: _________ is one in which there exists linear dependence betweenat least two rows or columns Answer: *Singular matrix* FBQ39: The numbers (parameters or variables) are called _________ Answer: *Elements* FBQ40: When the rows and columns of a matrix are the same or equal, the matrix is ________ Answer: *Square matrix* FBQ41: If the determinant of matrix is not equal to zero, it is said to be _________ Answer: *Non-singular* FBQ42: In determining the derivatives of an implicit function of X, ________ basic steps are considered Answer: *3* FBQ43: If a=52 b=69 ab ____________ Answer: *|48|* FBQ 44: Special forms of matrix that has its feature direction and magnitude are _________ Answer: *Vectors* FBQ 45: A square matrix with 1s in its principal diagonal from left to right and 0s everywhere else is _____________ Answer: *Identity Matrix* FBQ 46: ________ is the determinant of 1281418 Answer: *104* FBQ47: Given Y=8121218   Y is _________  Answer: *0* FBQ48: Given Y=8121218   Y is ____________  Answer: *0* FBQ49: Given X=415623231   X is ________ Answer: *42* FBQ50: The integral sum of difference of two or more functions is the sum or difference of the individual integral. True or False? Answer: *True* Multiple Choice Questions (MCQs): MCQ1: The concept of derivative is mainly concerned with Answer: Rate of change MCQ2: An important feature of a linear graph is its Answer: Line MCQ3: The concept of differentiation measures Answer: Line MCB4: The following are the rules of differentiation except Answer: Sum or difference MCB5: Given the function y = x + y = 0, which rule can be used to solve the function? Answer: Sum or difference MCQ6: Given that p = 12, find dp/dx  Answer: 21 MCQ7: Find the derivative of the function f(x) = 5x – 3  Answer: 5 MCQ8: Determine the derivative of (2k4 + 5) (3k5– 8) Answer: 54k3 + 75k4 MCQ9: If y = 2x2 + 7x – 18, write the derivative of the equation Answer: dydx [2x2 + 7x – 18] MCQ10: Find the derivative of the function y = 4x2+ 6x3 Answer: 18x3 + 8x2 MCQ11: If given the function y = (3x + 2) (4x3), determine the derivative using product rule Answer: 48 MCQ12: If y = (x2 + 5x)2 where y = u2 and u = x2 +5x . Differentiate the function using chain rule Answer: (2x +5) MCQ13: Assuming we have the function y3-2x2y2+x4 = 0. Find dy/dx Answer: 4x(y2-x2)y(3y-4x2) MCQ14: To determine the initial function of an equation, economist uses Answer: Matrix MCQ15: The integration function which dependent on a single variable and have no precise numerical value is known as Answer: Finite Integral MCQ16: Integrate ∫x6dx Answer: 17x5+c MCQ17: Marginal ____ is defined as the change in total revenue as a result of change in the sale of an additional unit of a particular product Answer: Product MCQ18: Graph and relation are not the right tools to solve _____ problems Answer: Optimality MCQ19: Determine the initial functions of ∫3x2dx Answer: x4+c MCQ20: Compute the integral ∫(x+2)3dx Answer: (x+2)44+c MCQ21: Compute the integral ∫274x3dx Answer: 2390 MCQ22: Compute the integral ∫02(11+x+2x)dx Answer: ln 3 + 4 MCQ23: If the total cost function TC = 5Q2 + 7Q + 20, find the marginal function and evaluate it at Q = 6 Answer: 60 MCQ24: Determine and evaluate the marginal gain function of the profit function Q2 + 16Q + 50 at Q=6 Answer: 4 MCQ25: Find the total revenue function given that marginal revenue (MR) is 40 - 4Q + Q3 Answer: 40 - 2Q2 +Q44 MCQ26: Assuming we have a consumption function (C) which is 600 + 0.4Yd, where Yd is Y – T, and T is 200, find marginal propensity to consume (MPC) Answer: 0.4 MCQ27: Find the marginal revenue (MR) function of the demand function Q = 72 – 4p Answer: 72 – 2p2 MCQ28: Find the partial differential of the function z=7x3+3x2y2+6y4 with respect to y Answer: -6x2+14y3 MCQ29: Find the partial differential of the function z=7x3+3x2y2+6y4 with respect to x Answer: 21x2+6xy2 MCQ30: Find the partial differential of the function z=7x3+3x2y2+6y4 with respect to x Answer: 21x2+6xy2 MCQ31: Partially differentiate the model z=5x+2(4x+3y) with respect to y Answer: 15x+6x MCQ32: Partially differentiate the model z=5x+2(4x+3y) with respect to x Answer: 40x+8+15y MCQ33: Assuming we have the function q = 5p3 + 4p2 + 20, find the differentials? Answer: 15p2+8 MCQ34: Find the derivative of the implicit function: 14x2+2y=0 Answer: 14x+2 MCQ35: Find the derivative for the inverse of the function Q = 80 – 5P Answer: 15 MCQ36: Find the derivative for the inverse of the function y = 1000-3x2 Answer: -16x MCQ37: Given that a=11435 b=8213 find a + b Answer: 19535 MCQ38: Given that a=11435 b=8213 find a – b</p&g Answer: 3035 MCQ39: Given that a=910115714 b=2146 Answer: 9015730159 MCQ40: Given that a=584693 b=122311& Answer: 12231169 MCQ41: Given that a=584693 b=122311& Answer: 763569 MCQ42: If Z=0, the matrix is singular and there is linear dependence among the equations. Therefore, solution is ___________ Answer: Known MCQ43: If Z≠0, the matrix is non-singular and there is linear dependence among the equations. Therefore, the matrix is ___________ Answer: Solvable MCQ44: _________ satisfies the commutative law of matrix Answer: (a + b) = (b + a) MCQ45: __________ if not a scalar matrix, does not satisfy the commutative law Answer: ab=ba  MCQ46: (a+b) = (b+a) satisfies the __________ law of matrix Answer: Sum and difference MCQ47: (a+b) = (b+a) satisfies the _________ law of matrix Answer: Sum and difference MCQ 48: Special forms of matrix that has its feature direction and magnitude are ________ Answer: Column MCQ49: The determinant of 10858 is __________ MCQ50: The determinant is a scalar and is found only for ______ matrices Answer: Square