Find an equation of the tangent line to the graph of the function: 1 y = -x ln x² at the point (-1, 0) Apply Implicit Differentiate to find y' for: 4xy + In x²y = 5 Show that y = 2 In x+3 is a solution to the differential equation 6266 965118581858+0 この xy" + y = 0 I dy Use the logarithmic differentiation to find 6 16F6L 6 quo fpe boG_169) UNC x² - 1 y=1 x²+1' x > 1 X8

Q: How many positive integer solutions are there to x₁ + x₂ + x3 = 14?

A: Solution: As per given by the question, find the integral solution of the equationx1+x2+x3=14 when…

Q: Let A = 0 -5 1 C. A-1 a. det (A) b. 7A + 5I = || d. AB = - 2 - 3 0 = e. BT AT = -5 1 – 1. and B = 16…

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Q: D Question 12 Find the Q3 of the following: 2, 2, 5, 6, 10 00 02 3.5 04 05 05.5 06 08 10

A: 2, 2, 5, 6, 10Sample size .

Q: n! %3D if n is non-negative integer and proof r-1 r>t

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Q: Determine the closed formula of fa = 3a – I with a.-2. 10

A: To find the closed formula :-

Q: Which of the following is a monomial? OA. 20x - 14 OB. 11x2 OC. 20x9-7x OD. X

A: This question is related to monomials, we will solve it using given information.

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Q: The father's age is six times his son's age. Four years hence, the age of the father will be four…

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Q: 4. Solve for x in each of the following equations. Assume x is positive. Solve the equation 2*+4 =…

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Q: In each of the following, find all real numbers x that satisfy the given equation. If none satisfy…

A: According to guidelines we can do only first three sub parts thank youWe have to find the value of x…

Q: is there a different way this problem could be solved?

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Q: The nth row of Pascal's triangle lists the coefficients of (x +y)^.

A: Here draw pascal triangle for some 1 to 4 rows and conclude for nth row

Q: (с) (1 3)" (2 4)(2 3 5)

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Q: 1. 2. d 3x² -5 dx 7x+1 -+4x² d 7 sin-¹'(4x²)+e³x sechx² dx

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Q: Yes;for each input x there is one output y.

A: Yes;for each input x there is one output y.

Q: QUESTION 12 Solve the problem. There are 13 members on a board of directors. If they must form a…

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Q: Why important? are Euclid's Elements SOA

A: We have to write Why are Euclid's Elements So Important?

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A: a) In Quinn's dormitory room Clock A goes off every 25 ​minutes, clock B goes off every 60​minutes,…

Q: Question 2. Prove that v2 + v2 is irrational. [Hint. Calculate the first 6 powers of this number.]

A: We will use the rational roots theorem to prove that 2+23 is an irrational number. The rational…

Q: What percentage of students spent up to 49 minutes on the computer?

A: Introduction: The quantity N possibly indicates the total number of observations in the dataset,…

Q: Find UA, and ₁4, where: a. A₁ = {iº, i¹, i²) for every positive integer i. b. A₂ = {2i+1} for every…

A: a. ⋃i=1∞​Ai​ ​ is the set of all non-negative integers.b. ⋂i=1∞​Ai​={1}.Explanation:Let's find the…

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A: In the question it is given that the man started observing his sleep pattern right after he slept…

Q: Solve the following equation modulo 5.  2x=3

A: Given that 2x=3(mod5)    equation (1) We known that 0x= 5(mod5)   equatiion (2)

Q: a. Use the formula S, = (a, + a„) to show that the sum 1, 3, 5, .. (2n – 1) = n2. b. Find the sum of…

A: a. Given formula is: Here n is the number of terms and a1 and an are the first and last terms of…

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A: When we have the common ratio of sequence and its succeeding term is obtainded by multiplying with…

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Q: [1 -2 -1 1 Let B = |0 [1 1 and let C= |2 3] 1 3 [5.

A: If a system of equation has more unknown than equations then system has infinitely many solutions.

Q: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: Question 2 There are 101 houses on a street. Each house has an address between 1500 and 1699,…

A: This is a simple problem based on simple logic. Let us give a proper explanation to show that two…

Q: The day before two days after the day before tomorrow is Monday. What day is today? Give a solution…

A: We have to find the day today. It is given that the day before two days after the day before…

Q: Question 9: Find conditions on a, b, c, and c such tha commutes B if a b A = [] and [-1-1] 41 B c d…

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Q: 1. (D²+6D+9)y = e* (Use Reduction of Order Method)

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Q: Do not provide solutions by subtraction...give the answers with given values by putting it in…

A: The mean is 273 and the standard deviation is 100.

Q: If an+1 = 2an + 3 and a0 = 1, then a7 =

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Q: Find the following Combination: C (6, 3) =? O 120 O40 20 none of these answers

A: We have to find the Combination C 6, 3.

Q: 17. In Apex City there are 244,000 48-year-olds. Based on the table below how many are not expected…

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Q: Find an explicit formula for an if a0= 1, a1= 2, and an= 2an−1−an−2for n ≥ 2.

A: given a0= 1, a1= 2  and an= 2an-1−an-2for n ≥ 2.

Q: Submit You have used 0 of 2 attemp ts Save If A = (1, 4, 9, ., 256), how many elements are in A?…

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Q: Choose the number that best approximates each of the following 6 8 10 21 (a) + + + 25 33 41 (i) 3…

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Q: (a) There are 15 European cities that Kala would eventually like to visit. On her next vacation,…

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Q: Find all integer solutions to the Diophantine equation 22x+ 28y= 6

A: In this question, we solve the Diophantine equation for integer solutions. The Diophantine equation…