At Fanshawe, students spend an average of 12.47 minutes per class texting. Suppose the minutes spent texting in class are normally distributed with a standard deviation of 3.51 minutes. What is the probability that a randomly selected Fanshawe student spends more than 14 minutes texting in class? 0.67 0.2005 0.7995 0.33

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: The multiplicative inverse of x²+x-1 in Z5 [x]/ is: O x^3 O x+1 O x^4 O None

A:

Q: 5:2 Find the 2-transform of the sequence x(n)=-duc-m-1) and draw Zero - pole diagram with…

A:

Q: Let R be the region in the first quadrant that is enclosed by y = f(z) (or z = g(y)) and y = z as…

A: Arc length of a curve y=f(x)  where a≤x≤b L=∫ab1+dydx2dx

Q: B Consider cos²0 de sin² sin²0 av cos²00 dx. Using trigonometric substitution, what is the integral…

A:

Q: The graph of the function f(x)=cotxf(x)=cotx is given above for the interval x∈[0,2π]x∈[0,2π] ONLY.…

A: One sided limit of a real valued function comes when the independent variable moves towards the…

Q: Sketch and shade the region bounded by the curves y=√x and y=x³,then determine the volume of the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. Find the Fourier series of the function f(x) = |x| which is defined over the range - T<x< T.

A: f(x) is periodic with period 2π  f(x) is continuous except at the end poits (where f is not defined)…

Q: Q₁: Which of the following are always true, and which one are not (for five only)? Give reason(s)…

A: Answer with explanation

Q: O Consider the following matrices 0 ^- (-¹2 ~) -- († ;) -- (1 ¹/² : ;) -- (:) --( : ) 1/2 3 A = D= 1…

A: We will use property of matrix multiplication  Two matrix can be multiplied only when number of…

Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A:

Q: 3 -1 -6 -4 -3 4 Let y = D-B V1 = 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A:

Q: QUESTION 16 Three states have the following populations: State Population A 10,040 B 8000 C 2050 A…

A: Given the data is State Population A 10040 B 8000 C 2050

Q: 7x+1 5. The perimeter of a triangle is cm. If two of the side lengths are cm and *+1 2x-1 5 10…

A: To find the length of the third side of the triangle whose perimeter and two sides are given :-

Q: = 2. Find the Fourier series of the function f(x) -4, 4, - π < x < 0 0 < x < π

A:

Q: Solve the differential equation y" + y = 0 y(0) = 1, y'(0) = −1

A:

Q: Recall that the general solution to the following boundary value problem for the heat equation Ut =…

A: Note that: the solution for heat equation exponential part is negative, where as your solution is…

Q: 7. Let x₁ = a > 0 and Xn+1 = x + 1/x,, for n E N. Determine whether (x,) converges or diverges.

A: Q7 asked and answered.

Q: Suppose there are approximately 2.0 x 10 asteroids in the asteroid belt that have a diameter larger…

A:

Q: s ago, he has not finished his thesis yet. nce between the brackets, correct? If

A: To explain the true or false as,

Q: Graph the parametric equations below (x(t) = t - sint ly(t) = 1- cost

A: The given parametric equations are: xt=t-sin tyt=1-cos t Find the value of x and y for multiple…

Q: 9. Find the numerical Integration of ſo cos(x) + sin (x) where n = 4 using trapezoidal rule.

A: Trapezoidal rule: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn) Here, h=b-aN and N is the number of…

Q: Check the exactness of the following differential equation and find its solution: {2xy cos x² - 2xy…

A: Exact differential equation

Q: 11: Given the function f(X) = 8x2 - 4x₁x₂ + 5x and Xo = [5 2]. Then G-¹g at Xo is equal (( G is the…

A:

Q: Draw a left endpoint rectangle approximation of the area with n = 8. How do Ax and the change? O O…

A: The given function is fx=-x2+6x-7 To find:the area by mid point rule.

Q: Use media filter to smooth the pixels in the central part (colored as red) of the following image,…

A: Given: Average filter To find: Calculation

Q: A laptob was bought at canadian $770.if the tax of 20% and 13% vat should be paid ,find the least…

A: y% of a number is defined as y100 x number Selling prize id the price at which the item is sold to…

Q: 0.7 0.6 H.w1: evaluate fofo ex siny dx dy i) using the trapizodial rule in both direction, Ax = Ay =…

A: To evaluate the definite integral ∫abfxdx, use the following formulae. Trapezoidal Rule:…

Q: Q3) Consider the initial-value problem dx=y-x,y(0) = 0.5 Use Euler's method with h= 0.1 to obtain an…

A:

Q: 7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that…

A: Given: A square of dimension 3cm ×3cm To find: Number point to be places in a square of size 3cm…

Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2- 1 0.8 0.6 0.4- 0.2 10 20 30 X O…

A: An integral will be improper if at least one of its limit is infinite or function of integral is not…

Q: Let u(x,y,t)=(1/t)exp[-(x²+y²)/4t] where exp denotes e to a function. Show that u(x,y,t) satisfies…

A:

Q: 2 4 A = 12 2 4 Solve the following. a) Describe the solution set of in the parametric vector form.…

A:

Q: Solve the following boundary value problem for the Laplace equation using the method of separation…

A: Let uxx+uyy=0   ……………………………(1)u(0,y)=u(x,b)=0 ,  u(a,y)=u(x,0)=1 Let the solution of equation(1) by…

Q: Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 rove that f is Riemann integral. X≤0 x < 0

A:

Q: Task (3) Electric power is to be generated by installing a hydraulic turbine-generator at a site 70…

A:

Q: Direction Fields Plotting Direction fields can be done using the function quiver: quiver Quiver…

A: We will use matlab code given in the question

Q: Find the particular solution for the given problem. y + 2 = 10x³e², y(1) = 187.02 NOTE: Round the…

A:

Q: 8. Let f(x) = √25 - x² and g(x) = sinx. a) Graph f(x) and describe its shape. Is this function even,…

A: Given functions are f(x)=25-x2, g(x)=sin(x) Solution a: Since f(x)=25-x2 and f(-x)=25-(-x)2=25-x2 So…

Q: 3x + 2y = 4 2x − y =-9 x + 3y = 13

A: We have: 3x+2y=42x-y=-9x+3y=13 This can be written as: 322-113xy=4-913 The augmented matrix is…

Q: a. Using Laplace transformation evaluate sintx x(1+x²) dx

A: Given the expression ∫0∞ sin txx1+x2 dx we have to use Laplace transformation to evaluate.

Q: x1 + x2 + x3 = 0 x4+x₂+2x3 = 0

A:

Q: y = -x^2 + 4x, y = x^2 - 6x + 5, x=0, x= 1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units…

A: We have to find the area of the bounded region.

Q: 7: The point X* = [00] for the function f(x) = 2x² + x² + 2 represents a A: Saddle Point for f(x) B:…

A: Given :  f(X) = 2x12+x22+2,  for  X = (x1 , x2) To find : We to check the nature of point  X* = (0,…

Q: -1 3 -6 -4 -3 4 Let y = = V1 = " 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A:

Q: 4 The remainder when the expression x³ + x² - 5x-3 is divided by x-2 is 5 times the remainder whe…

A:

Q: A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29° and 53° with…

A: We have to find tension in cable.

Q: 1 The polynomial p(x) = ax + bx²-3x -4 has a factor of 2x-1 and leaves a remainder of -10 when…

A: Let us consider the polynomial p(x) When p(x) is divided by s(x) Division algorithm…

Q: Answer the following MCQ questions: . In comparison to Jacobi's iteration method, the gauss-seidel…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Applications of Integral Calculus Suppose the shaded region below is revolved about the y-axis.…

A: The given curve is y=sinx2. We have to calculate the area between x=0 to x=x. Let y=f(x) be the…