sauisoa e direction angles to the nearest degree. 5. (a) v=i+j- k (b) v = 2i – 2j +k

Q: (a) Consider the series For which values of a > 0 does it converge and for which does it diverge?

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

Q: Find the area bounded by the curves an arch of y= (4)sin (xA)

A: Given:        y=14sinx4 The area under the curve is the area between a curve f(x) and x-axis on the…

Q: 21.1 Evaluate the following integral: * 7/2 (6 + 3 cos x) dx (a) analytically; (b) single…

A: Solution :-

Q: Please explain the solution in a clear manner, step by step.

A: Given figure is:Labelling the vertices:The figure consists of 5 triangles: ABG, BCG, CGF, CDF and…

Q: Activity 3: Find Me! To further strengthen the foundations in solving permutations, you may search…

A: 1) the covered walk of a school is to be lined with flags. how many different arrangements are there…

Q: Find the probability of obtaining exactly one heart in four drawing from a deck of 52 cards.

A: Let p be the probability of getting heart. Then p = 13/52 = 0.25 Let X denote the number of hearts…

Q: Find the most general antiderivative of the following function. f(x) = 2e" - 8x %3D

A: Given that a function f(x) = 2ex - 8x We find antiderivative of this function.we know that…

Q: Please explain the solution in a clear manner, step by step.

A: To evaluate the required quantities to the desired accuracy

Q: Problem: A machine produces cylindrical metal pieces. A sample of pieces is taken, and the diameter…

A: Given that  Observation: XX X^2X2 1 1.01 1.0201 2 0.97 0.9409 3 1.03 1.0609 4 1.04 1.0816…

Q: Z Let ƒ (z) = 1+|z|* (a) Prove that f is continuous on C. (b) Show that f maps C onto the open disk…

A:

Q: Suppose that the average number of hours spent by senior high school students in your school for…

A: Mean(µ) = 25Standard deviations (σ) = 4Sample size (n) = 12 Also given that it is normally…

Q: Find the critical value za/2 corresponds to 99.5% confidence level.

A:

Q: A classical example of the Poisson distribution involves the number of deaths caused by horse kicks…

A: Given, No of years n = 20 No of corps = 14 No of deaths = 196

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.We have made a right angle triangle by joining the…

Q: 3. Let's assume you have a dataset as given below. Perform second order Lagrange interpolation and…

A: Lagrange's Interpolation formula x f(x) 1 0.1411 1.3 -0.6878 1.6 -0.9962 1.9 -0.5507…

Q: Please explain the solution in a clear manner, step by step.

A: Given figure is: Labelling the vertices,In any triangle, the sum of angles is 180°Also, the sum of…

Q: The author purchased a slot machine that is configured so that there is a 2000 5. probability of…

A: Binomial distribution formula

Q: Determine the minimum sample size if the Margin of error is 0.045, with confidence level 95%, and p…

A:

Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn is? O 1.6 1.55…

A: Given equation is 4x3 -8x2 -3x+9=0 Take fx = 4x3 -8x2 -3x+9 First derivative of f(x) is fx = 4x3…

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.Where AC and BC are measured in feet and inches .sides…

Q: Find the most general antiderivative of the following function. g(x) = = - (1+ a²)-1

A:

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

Q: 2. Solve for the margin of error for a 98% confidence level, the sample size is 1230, of which 40%…

A: 2)GivenConfidence level =98%sample size(n)=1230p^=0.40

Q: Please explain the solution in a clear manner, step by step.

A: To calculate the required angles and the sides to the desired accuracy , using trigonometry

Q: 2.30 In how many different ways can a true-false test consisting of 9 questions be answered?

A: