Learning Task 1: Identify whether the following is a prime or a composite number. Write your answer on your notebook. 1) 23 6) 47 7) 53 11) 65 12) 79 2135

Q: ASK YOUR TEACHER 5ION A Suppose water is leaking from a tank through a circular hole of area A, at i...

A:

Q: A time deposit account In a bank yields 5.5% compound interest Annually . Jennifer invested P 450 , ...

A: The formula for the amount for compound interest is given by  A=P1+r100t where P is the principal in...

Q: Salvador's lunch cost $9.85, and he left a $2.00 tip. About how much more tha 15% of the bill did Sa...

A: Given that Salvador's lunch cost = $9.85 Tip amount = $2.00 To determine how much the amount more ...

Q: Consider the linear system d 1 2 dt 2 1 Show that it can be written as a gradient flow i the contour...

A:

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0)....

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: Given r(t) = f(t) i + g(t) j Prove that r '(t) = f'(t) i + g'(t) j using limits

A: We know  that the limit of two function is exist, then the limit of the sum of two function exist an...

Q: The fourth term in the expansion (2r + y)' is

A:  The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued prod...

Q: Given a line segment AB, with point C as its midpoint, point D as midpoint of AC and point E as midp...

A:

Q: Preference 15 13 2 30 10 TLHHT The university administration has asked a group of student leaders to...

A:

Q: 1. cosh (j) 2. tanh 3. 3. In(2 + j3)

A:

Q: B_C* UI

A: Given A = {2, 3, 4, 5, 6, 7}, B = {2, 4, 7, 8}, C = {2, 4}. Fill in the blanks by ⊆ or ⊈ to make the...

Q: Compute the order of the following algorithm segment: for i:= 1 to n for j:= 1 to 2i x := (n – i) · ...

A:

Q: 9. Find all real values of c such that the vectors and +3 are linearly independent.

A:

Q: Consider the linear system d 1 2 dt 2 1 Show that it can be written as a gradient flow i the contour...

A:

Q: Find an expression for x, the x- coordinate of the centroid of the region bound by the curve x = 9 -...

A:

Q: Show that x2 + 3 and x2 + x + 1 over Q have same splitting field.

A:

Q: 1 Show that -(pv q) and -p A-q are logically equivalent. . Show that p → q and ¬p v g are logically ...

A: A statement is a sentence that can either be true or can be false but not both at the same time. But...

Q: Use convolutions to find an explicit function y(t) such that pt y(t) = 1+ | y(t) sin(t – æ) dæ.

A:

Q: Find the Laplace Transform 3.f(t)=e'cos2t

A:

Q: The following linear Diophantine equation 2173x + 2491y = 53 is solvable and its solution is

A: Given,             2173x+2491y=53

Q: 3. Decide if the following improper integrals converge or diverge. dx (a) x2 + 4 (b) . xe" dx da (c)...

A:

Q: P.1: Consider f (x) = a) Sketch this function by hand showing the asymptotic points and their values...

A: To find asymptote and to graph the sketch of the below function. fx=12x2 fx=e−2x2

Q: Q. 6. A ceiling fan is marked at Rs. 970 cash or for Rs. 210 cash down payment followed by three equ...

A: Given:Fan marked price = Rs. 970Down payment = 210Interest rate = 16%Find monthly instalment = ?

Q: You are trying to save up $100, 000 in 18 years to help pay for your kid’s future college expenses. ...

A:

Q: QUESTION 9 By using the principle of mathematical induction, prove that n (3n - 1) 1+4+7+.......+ (3...

A: We are only allowed to solve one question at a time so we will answer only the first question. Pleas...

Q: Employees at the Me, My Mop and I cleaning service are choosing a new company logo. The choices are ...

A: Solution:-

Q: 5. Ruby made 114 caramel lollipops last Saturday and 186 last Sunday. Each lollipop is wrapped in co...

A: Given that Ruby made 114 lollipops Saturday and 186 last Sunday and she can wrap 20 pieces of lollip...

Q: a) xn+1 = xn + 6 b) xn+1 = .3xn + 5 c) 3xn+1 – 2xn +1 = 0

A: This is a problem of the recurrence relation.

Q: T 1 T. T F T 3 T F F 4 F T F T F T D7 F F F F F 8

A: Here we have to find only the truth table for the column 4. ~q means not q i.e. if q is true then ~q...

Q: 17. -5x+1=0

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Solve the following system of equations y + x² –x = 0 x²+ 2xy+y = 0 Initial guesses Xo = 1, yo = 1 P...

A: Use the following formulae, to find the approximate solution of the non-linear system by the modifie...

Q: y = 2x2-12x + 18 2. y= 2x2 + 5x -3 1.

A: We willl be completing the square 1. y = 2x2 - 12 x + 18 y - 18  = 2 ( x2 - 6 x)y - 18 + 18   = 2 ( ...

Q: Theorem 7. Let T be a linear transformnation from a vector space U (F) into a vector space V (F). Th...

A:

Q: Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose o...

A:

Q: Question simplify the Followfny (2) (R+y). x'y' i) xry AY VZAY VZ' Question 2 show thet =(xxy)v (yのz...

A:

Q: Tnn, where (a] means z rounded down. What is T(5 - 10°, 10 - 10°)? T(n,m) 3. Let 7(m, n) Enter answe...

A:

Q: Identify the next step you would take to 1 integrate: 0. dx o v1-x .1 lim dx /1-x a+0- 1 lim dx a V1...

A: .

Q: x²uzz + 2ryuzy + y°uyy = 0 %3D (a) Classify the PDE as hyperbolic, parabolic or elliptic. (b) Reduce...

A:

Q: When using the Method of Undetermined Coefficients, which of the following should be used as the gen...

A:

Q: Point O is the centre of each circle. Assume the lines that appear tangent are tangent. V the value ...

A: Introduction: The Pythagoras theorem for three sides of a right-angle triangle is given by, A2=B2+C2...

Q: Given the intercepts (0,-15) and (5,0)

A: Given intercepts: (0,-15) (5,0) To determine: Equation of the line passing through the given interce...

Q: If T: R³ → R³ is a linear transformation such that (E) (B) T T T (E) then T = 4

A: Given that T : ℝ3→ℝ3 is a linear transformation such that           T100=334, T010=-1-30, T001=-14-4

Q: If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. * B = {2, 4} A = {0} C...

A: Given are some sets. We have to check if those are subsets of the Set U.

Q: 4. Find the change-of-coordinates matrix from basis B to basis C. e-{E} -3 4 B = C =

A:

Q: Consider an investment whose annual return is normally distributed with a mean of 6% and a standard ...

A:

Q: Solve the given differential equation by separation of variables. xy + 6y-x6 dy xy - 7y + x - 7

A: Given dydx = xy + 6y - x - 6xy - 7y + x - 7

Q: et l2 be the same region as in part (2). Write this region in the form 12 = {(z, y) : e<ysd: a(y) SI...

A:

Q: Let R be the region in the plane enclosed by y=x',y= 0, and x= 1. Find the volume of the solid forme...

A:

Q: Determine a region of the xy-plane for which the given differential equation would have a unique sol...

A: We will use the given differential equation to give the region in which the given ODE has a unique s...

Q: A18.2 Let A be the matrix of rotation by /26. Write the matrix which is the inverse of A3 and explai...

A: