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