5. Find (().

Q: 6. Theorem 131

A: The figure of the circle is given by Theorem : ∠Q = 12mPSR⏜ - mPR⏜ To evaluate : The value of ∠Q

Q: リ= In (x (x-1)) (X-2 )*

A: Given: y=lnx3x-1x-22 To Find: The first and second derivative of the given function

Q: 5. Find the on the interval [0, 4]

A:

Q: An automobile service facility specializing in engine tune-ups knows that 50% of all tune-ups are…

A: Given: 50% of all tune-ups are done on four-cylinder automobiles. 20% on six-cylinder automobiles…

Q: Ive for æ if In(x? – 1) = 0.

A:

Q: (Q. +,.) is a subfield of (F = {a + bV5: a, b e Q}, +,.); (F = {a + bv5: a, b e Q}, +,.) is a…

A: A non-empty subset F' of a field F is a subfield of F if F' is closed with respect to the…

Q: which of the folowiny -xト! is -3x 2 へ pove seies fore =e.e e E (-)"(-3x) n ハン 0 37 B. e (3x)" nこO *ス…

A:

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫lnx-lnx-...dx To find the given integral in terms of some new variables t

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Discuss the pros and cons of Chebyshev’s rule.

A:

Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: and conversely.

A:

Q: 27. Verify ldt ip|1| =x|x]. Hint: Consider x > 0 and x <0 separately.

A:

Q: +prove by indirect method that if X+y>5 then x>2 or

A:

Q: For this problem, assume the box contains 6 red balls, 7 blue balls, and 5 white balls, and that we…

A: Given that  box contains 6 red balls, 7 blue balls, and 5 white balls. Total number of balls is…

Q: Compute the quantity. 5 (ww) w, using w= -2 W W -6

A: Given: w=5-2-6 To find: 1w·ww   Dot product of two vectors u=u1,u2,u3 and v=v1,v2,v3 is given by…

Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: Suppose that

A: Given,       f(x, y)=x2-xy+y2-x+y with  D=x, y | 0≤y≤x≤1.

Q: Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: Solution is given below:

Q: show that 0 is an unbiased

A:

Q: 4 Show that DE B0) n s+ Ø

A: We will use basic knowledge of metric space (or general topology) to answer this question.…

Q: Evaluate dz (z–2)5/3 O -4/3 O 4/3 O Divergent

A:

Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: 3. +4 Use the ehain rule to find devinitine

A: Here we have, y=x2-22x3+44 Differentiate with respect to x,

Q: Discuss the behavior of

A: The behaviour of the given function can be determined with the help of the limit of the function…

Q: *) = (" ; ') - Show that :

A:

Q: having rank 3

A:

Q: Consider

A: Given, the two interconnected tanks shown in the following figure, where      v1=2, v2=0.5, v12=4,…

Q: Write In (e5 x 2) in term of In x. In (e x²) =

A:

Q: Expand

A:

Q: Show that x+1/x is increasing on [1,∞]

A:

Q: Can we conclude that patients with primary hypertension (PH), on the average, have higher total…

A: Null Hypothesis: H0: There is no sufficient evidence that the primary hypertension on the average…

Q: Q2-Prove tut- va" - r* ify =()()+ ()F-7 if y =

A:

Q: An automobile service facility specializing in engine tune-ups knows that 60% of all tune-ups are…

A: It is known that 60% of the all tune-ups are done on four cylinder automobiles, 30% on six engine…

Q: -bability den= 10 > 7) is:

A: The probability density function is given as, fx=110 for 0≤x≤10. To determine the value of the…

Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: D. Let Find 2,-

A: We will find out the required value.

Q: TO -n invested on the day of their niece" uously? $

A:

Q: The academic planner of a university thinks that at least 34% of the entire student body attends…

A: Given: p= 0.34 Need to find null and alternative hypothesis.

Q: We wish to demonstrate that the average time to graduate from Tulane is affected by the students…

A: We are interested in testing that if mean1 is at most 0.25 year more than mean 2 and for that we…

Q: 2.2 Use algebraic manipulation to prove that (x +y) · (x + y) = x.

A: As 2 Questions are given, I will solve only the first, We need to Prove that: x+y(x+y¯)=x Solving…

Q: The management of the local zoo wants to know if all of their animal exhibits are equally popular.…

A:

Q: Show that cothx x+1 In X-1,

A: Solution

Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: 3. Show that 5 x + 7 is a continuous fimction

A: Let, f(x) = 5x+7 be defined over R, the set of all real numbers. Choose an arbitrary point c in R.…