Evaluate: lim sin(3x)cot(2x) O a. 2 O b. 3 2 O c. 3 O d. 2 3

Q: 2. The signum function denoted by sgn (x) read as "signum of x" is a function defined by sgn (x) =…

A: The equation of the basic equation of the function is given as sgn (x), that is shown below-…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that  required plane passes through point ( 7, 6 , 6 )  and perpendicular to the vector having…

Q: A closed rectangular box with a volume of 162ft is made from two kinds of materials. The top and…

A:

Q: (4 Lat To R>R" be the lineor tronsformation de fined by Tatbx+cx?)= (You con assume Tis a tineor…

A:

Q: 2. Determine the language L over the alphabet A = {a, b} accepted by the finite state automaton…

A: We can clearly see φ∈L The required Language accepted by the above finite Automator

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

A:

Q: By double integral, find the volume of the solid enclosed by a paraboloid x + 2y2 + z = 16, the…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 3…

A:

Q: (1) [10 Marks] Suppose f: [a, b] [a, b] is a continuous function. Prove that there exists a ce [a,…

A:

Q: Each day Donna and Mary toss a coin to see who buys the other person coffee ($1.77 a cup). One…

A: Given that Donna and Mary toss a coin to see who buys the other person coffee. Assuming that Mary…

Q: 5 Suppose T:V→R° is a lineor tronsformetetu where V= Hdef EM23: E M, (a Find all possibilities for…

A: A linear transformation is called one-one when the matrix obtained from the transformation has all…

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: We have to find value of C:

Q: A coin is loaded so that the probability of heads is 0.8 and the probability of tails is 0.2.…

A: X has binomial distribution.X~B(n,p)no. of trial(n)=2probability of getting a tail in a single…

Q: For each matrix: (i) Use the Gauss-Jordan Algorithm to find the inverse, if possible; (ii) List…

A: Given matrix is A=317-2454619 To find inverse of the matrix using Gauss- Jorden Algorithm.

Q: 8. If a quadratic polynomial curve in the shape of semi-circle is shown below. ObIC o Then, the…

A:

Q: 2. [14 points] Find the work done of the force field F(r, y, z) the trajectory r(t) = (t,t2, t³)…

A:

Q: A landscape architect is planning a rose garden. The garden will have a circular fountain with a…

A:

Q: Describe a situation where each of the following quantities might be useful. -20 gallons per hour in…

A: We need to describe each situation  (a)-20 gallons per hour in the bathtub -20 mean in every hour 20…

Q: Find fy for f(x, y) = (In x) (sin x² y). O fy = (In x)(cos x²y)(2xy) O fy = (cos x2y)(x²) O fy = (In…

A:

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y…

A: The curve y=x2-x2 at (1,1)

Q: Hypotheses test are always statements about the population or distribution under study, not…

A: Given : Statement : Hypotheses test are always statements about the population  or distribution…

Q: Ex. 5 If a, b, and care any integer values except zero, then the expression ap2 + bp + c will…

A:

Q: Now Considex a fn abarce of set of finctrons f() x€ (-00gt00) such that of d del varieble Oes ox→ I…

A: As per the instruction, we will be answering only the second part. For (ii), We consider a function…

Q: J Find the four different types of isometries of plane (you can use pictures to explain the concepts…

A: The four different types of isometrics of plane is written as follows: (i) Translations (ii)…

Q: A curve has an equation of y = x - 24x2 +75. Find the point/s of inflection of the curve. О a. (2,…

A: