x² +1 dx x'(x-1)² 3

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: 12. Find the laplace transfey of pesiodic signal *×せ) 2. 2.

A: To find :              We need to find the Laplace transform of the periodic signal.  When the…

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: Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right…

A: Given: C1=rcosθ and C2=3cos2θ To find the area of the shaded region R and the perimeter of the…

Q: Given f(x)= 7x“+ 3x² – n. Find all zeroes accurate to læ10¯4 using: (a) Newton-Raphson method (b)…

A:

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: y" – 4y' + 13y = e2x cos 3x

A: Given: y''-4y'+13y=e2xcos3x So, we can also write as: D2-4D+13y=e2xcos3x So, the auxiliary equation…

Q: Create a Venn diagram described. San Ferdinand College offers three major subjects: Filipino, NSTP…

A:

Q: 2.5 1 –dx 1+ sin x – cosx COS X 1

A: Solution

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: 5. Show that x³y³ lim (x,y) →(0,0) 2x¹2 + 3y4 does not exist.

A:

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: The function 1(x, y) = y is a joint probability density function over the range for 0<x<3 and 0…

A:

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: Question-2: You are interested in determining what factors influence the price of a stock. After…

A: Given, Y is the stock price, X1 is the quarterly dividends, X2 is the price/earnings ratio and X3 is…

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: d²x dx + 4- + 5x – 10 = 0, when t = 0, x = 0,x = 0 dt2 dt

A:

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

A:

Q: by3 (3b² – x?)(1 – x5V3)/3b² – x2 dx -

A: