MATH - FROM ZOOM MEET Flashcards
Find the angle between the line 2y-9x-180 makes with the x-axis.
A. 74.77°
What is the derivative of y = x^x
B. x^x(1+ Inx)
Locate the point of inflection of the curve y = f(x) = (x square) (e exponent x).
C. -2 plus or minus (sqrt of 2)
Find the radius of curvature at any point of the curve defined by y + In(cosx) = 0.
C. secx
The number of newspaper copies distributed is given by C = 50t2 200t+ 1000, where t is in years. Find the minimum number of copies distributed from 1995 to 2002.
B. 9800
A certain travel agency offered a tour that will cost each person P1500.00 if not more than 150 persons will join, however, the cost per person will be reduced by P5.00 per person in excess of 150. How many persons will make the profit a maximum?
C. 225
Find two numbers whose sum is 8 if the product of one number and the cube of the other is a maximum
B. 2 and 6
Evaluate the double integral 22(x2 + y2)dxdy
B. 35/2
Find the area of the region in the first quadrant bounded by the curves y=sin x, y=cos x and the y-axis.
D. 0.414
Evaluate the integral of sinбxdx from 0 to π/2
D. 5π/32
Find the length of the arc of r = 4e from = 0 to 0 = л if the length of arc is the integral of the sq. rt of (r^2 + r’^2) dθ.
A. 125.2
Evaluate the integral f: 4dx/(3x+2)
B. 4/3 ln(3x+2)+C
Solve the general solution for the DE xy’ (2y-1) = y(1-x)
D. In(xy) = x+2y+C
If dy = x2dx, what is the equation of y in terms of x if the curve passes through (1.1)?
b. x^3-3y+2=0 (Pinoy bix)
Find the equation of the curve which passes through points (1, 4) and (0, 2) if d^2 y/ dx^2 = 1
A. 2y = x^2+3x+4
What is not true for the differential equation y’ +;
B. It is homogeneous
In complex algebra, use a diagram to represent a complex plane commonly called
C. Argand Diagram
Find the area of the triangle having vertices -4-i, 1+ 2i,4 - 3i
C. 17
Evaluate (1+j) raise to (1-j).
B. 2.82 + j 1.32
If z = 6e (πi/3), evaluate │e^(iz)|
A. e^(-3√3)
Solve for the value of cosh^-1 (i)
B. 0.88 + 1.57i
Describe the locus represented by |z-2| - |z+2| = 4. Hint: z = x+jy
C. Hyperbola
Find the probability of getting a prime number thrice by tossing a die 5 times.
B. 0.3125
An urn contains white and black balls. If the probability to pick a white ball is equal to log x and the probability that it will be black is equal to log 2x, what is the value of x?
B. 2.236
From a box containing 6 red balls, 8 white balls and 10 blue balls, one ball is drawn at random. Determine the probability that it is red or white.
B. 7/12
The mean value for an event X to occur is 2 in a day. Find the probability of event X to occur thrice in a day.
A. 0.12344
Spherical coordinates are represented in terms of
B. (r,θ,φ)
Laplacian of a vector is _____ of gradient of its divergence and its curl of curl.
B. Difference
_______ product is governed by the Righ-Hand
A. Vector
If φ(x, y, z) = 3x^2 y - y^3 z^2. Find the Vφ at the point (1,-2,-1)
B. -12k -9j- 16k
Given the transfer function G(s) = 121/(s^2 + 12s+ 121), find the peak time.
B. 0.34 s
If the damping ratio is equal to 0.1, what kind of response is expected?
B. underdamped
Determine C/R for the diagram shown.
C. (G1 + G2) / (1 - G1H1 - G2H1)
Refer to the figure shown. How many loops are there?
D. 5
Find the inverse z-transform of the following expression. Assume causal signals
B. u(n-7) + u(n-6) + (n-5)
Find the convolution of f and g if f(t) = tu(t) and g(t) = cos(t)u(t)
D. 1 - cos(t)
