Who was a mathematician named Pythagoras who discovered Pythagorean theorem(a brief backgroud of Phythagoras) What was his lasting impact on the field of mathematics?  (His theorem, his rule, his formula, etc)

Q: Explain the Pythagorean Theorem, its proofs and applications.

A: The triangle is a polygon with three sides and three vertices. The sum of interior angles of a…

Q: 30. Contracts Your company bids for two contracts. You believe the probability you get contract #1…

A: Given that   the probability you get contract #1 is 0.8. If you get contract #1, the probability you…

Q: Prove the following statement by induction. Theorem. Suppose n is a positive integer. Then 1 Σ k(k+…

A:

Q: A project conducted by the Australian Federal Office of Road Safety asked people many questions…

A: State the hypotheses.   The hypotheses are stated below:   Null hypothesis: Alternative hypothesis:…

Q: Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2)…

A:

Q: Let P be the plane that is tangent to the equation xyz + 260 = z' + 30x + 26y at the point (7,7,4)…

A: The tangent plane to the surface is a plane that only touch the surface at the point.

Q: Pure water has a pH value of 7.0. How many times more acidic is milk, with a pH value of 6.4, than…

A:

Q: Solve each equation for 0s 0<360. 1 cos e = 2 9)

A: Given : cosθ=-12 we know that cos(60)= 1/2 cos is negative in second and third quadrant  So, find…

Q: Convert the given angle to decimal degrees. Roynd to 4 decimal Places. (see Example I) 27.37°34

A:

Q: dx = k(a- x)x dt

A: Yes, the entire town eventually hear the rumor. 191 people know about the rumor after 2 days.

Q: Can someone please help me understand the following problem. I need to know how to start the…

A:

Q: 3. TJ flips a fair coin two times, and Ehsaan flips a biased coin once (Ehsaan's coin lands on heads…

A: Given that X=the number of heads from all of TJ's and Ehsaan's flips.  For X=2 there will be total 2…

Q: A random sample of 12 radon detectors of a certain type was selected, and each was exposed to 100…

A: Claim: the mean reading of all detectors of this type under these conditions is higher than 100…

Q: dy Consider the differential equation (x – 1) = (4 – y²) Which of the following statements is false?…

A:

Q: Can someone please help me understand the following problem. I need to know how to start the…

A:

Q: Find the LU factorization of A = A= 1 2 2 -12 -21 -4 10

A:

Q: Find the distance between the pair of points (0,-4) and (6,2). If necessary, express the answer in…

A:

Q: 1. f (x) 3D 5х + 1 2. f(x) 3 2х + 3x2 3. f(x) = Vx + Vx³

A: Find f'(x) : 1.               f(x)  =  5x + 1                   f'(x)  =  5x   2.…

Q: What does 0/0 mean? And what does x/0 (where x is a real number) mean

A: ## we want to find what does 0/0 and x/0 means where x refers a real number.

Q: Consider the vector field F = |y² + xz, x² + yz, z² + xy| Find each of the following values (or…

A: The answer is given as follows

Q: For Theorem 2.8 and it corollary give a simplified and short example in order to explain it very…

A:

Q: Evaluate the integral. 2 |cos (x)| d.r -=/2

A:

Q: cot'x 2. 2-) 1-sinX %3) senx

A: Given : 1-sinxsinx = cot2x1+cscx

Q: 5. Students who enroll in a certain memory course are given a pre-test before the course begins. At…

A: The question is about testing based on confidence intervalGiven :Randomly selected no. of students (…

Q: Prove or disprove that if {a,} and {b,} are Cauchy and b,n # 0. Then An is Cauchy

A: If an and bn are Cauchy and bn≠0, then anbn is not Cauchy. Result used: If an and bn are Cauchy and…

Q: Question 29 (35) 35) Use the figure to find the value of x. b. x= a. x=4 C. x-13 d. x-91 (&x-5)…

A: The two bonds formed by the crossing of the parallel lines. These angles are known as a…

Q: For Calc 3 questions, should I submit them into the advanced math section or calculus? Also, what…

A:

Q: bring the equation y'cos x – by'sinx + xy = 0 with y(0) =y(-) = 0, to the self-adjoint form and…

A: We have given differential equation  y''cosx-by'sinx+xy=0  y(0)=y(π4)=0 we know that…

Q: Find the power series in x for the general solution. (1 − x²)y" — 8xy' — 12y = 0

A:

Q: The length of time of calls made to a support helpline follows an exponential distribution with an…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…