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

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: Write an equation in slope-intercept form for the line shown. (12) 12) 4- Pick pi pon -4 A) y = 4x -…

A: Find the equation of the line

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: Let A be a non-empty, bounded set of positive real numbers. Let B be the set consisting of numbers…

A:

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: 2. How many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repetitions are…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: Find the derivative of: - R(t) = (sin² (3t+1), ln(t² − 1), ²) +1

A:

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: 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: Evaluate the double integral / ydrdy where T is the triangle with vertices (0,-1), (0, 5), (4, 3).

A: First, draw the region of integration. Then, use the region to setup the double integral.

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:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.