1. Is given a nonsingular matrix P. If A is positive semidefinite, then P'AP is positive semidefinite. Prove it!

Q: 10* -dx may be written as Aln secB" + tanB*| + where A, B, and C are constants not equal to zero. Ev...

A: First of all we solve the given integral and then compare it with given solution and get the value o...

Q: Integrating Factor by Formulas: (7) xy³dx + (x²y² + 1)dy = 0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Let A be the matrix below and define a transformation T:R3-R3 by T(U) = AU. For the vector B below, ...

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Q: Evaluate - (~ p < q) ^ ~ (p →~ q). O FFFT O FTTF O Tautology O FTFF O FFTF O Self-contradiction

A: As per our company guidelines we are supposed to answer only the first question. Kindly re Post the ...

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = x² + y...

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Q: Letf (x, z) = 3x² – 12x + 3z² – In(z). Find the value of x* and z* where a min/max will occur. x*=2,...

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Q: Solve the given equation 5x + 2z+ 10 = 0 by obtaining the roots. Answer: a. 4-14角 d.

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Q: 2.) Calculate the curve integral over the vector field V (xr, y)

A: The curve integrals in the form ∮CVxdx+Vydy involve the integration over a specific path C. In this ...

Q: 1. Fibonacci Numbers Recall that the Fibonacci numbers f(n) can be be defined recursively by letting...

A: We will  use strong induction method to prove S(n). Where S(n) is: f(n)=1+52n-1-52n5, with f(n)=f(n-...

Q: Use the Comparison Test to determine if the series converges or diverges. 5n – cos2n n3 + n2 + 1 n=1

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Q: Consider the ring Z1573, with standard addition and multiplication modulo 1573. Note that 1573 = 112...

A: First we have to calculate Euler's totient function in 1573and then we have to find the value of 213...

Q: Elsa made $374 for 17 hours of work. At the same rate, how much would she make (in $) for 7 hours of...

A: Since the person makes $ 374 in 17 days. Calculate the the amount earned in 1 day.

Q: 1+ 3n 0

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Q: A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above the g...

A: Given,  A statue 10 feet high is standing on a base 13 feet high, If an observer's eye is 5 feet abo...

Q: Convert 527262746715, to X16 О ААВВСССDD О АВВACCDCD АВАВССDDC О ААССВВDDC О AADDCCСВ О АВАСВСDCD

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Q: ili p: Some robbers are kindhearted but brute. q: No good person is kindhearted but brute. r: Dexie ...

A: 4)Given: p: some robbers are kindhearted but brute q: No good person is kindhearted but brute r: Dex...

Q: The expression 10 C2 is equivalent to 10! 8!2! 10! 8! 10! 2! 90

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Q: Solve using determining the integrating factor: cos x dx + (1 + 2/y) sin x dy = 0. %3D

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Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³) (x Tan-!x +1)

A: first integrate ∫dx(x+x3)(xtan-1x+1)

Q: 7n is a 15 n° Use mathematical induction to show that 5 3 natural number for all n E N. + +

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Q: Which one is the next figure in the series? ...

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Q: Given a point in spherical coordinate (5, ,"), find its equivalence in cylindrical coordinate. Draw ...

A: We have to convert given spherical cordinate to cylindrical coordinate system.

Q: Let S be an nonempty open connect subset of R^2. What is the number of possible continuous onto func...

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Q: aiShot(购买解锁去水印) The public health authorities of a small town have divided the population into three...

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Q: 2. Use spherical coordinates to find the volume of the solid that lies above the cone z = 3r2 +y? an...

A: Relation between cartesian and vector form  x = ρ sin φ cos θ , y = ρ sin φ sin θ  , z = ρ cos φ  Wh...

Q: How many ways can a teacher select Billy and Samantha to be on a committee of 6 people from a classr...

A: Here we use Basic Permutation and Combination.

Q: (2) y(x2 + y2 – 1)dx + x(x² + y² + 1)dy = 0

A: Dear Student According to Bartley by guidelines we can answer only one question at a time. Please up...

Q: dx = In[F(x)]+C-What is F(/3) if C = For I (x+x*) (x Tan-'x +1) S- SE SI- S-

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Q: Prove by contradiction: If x is a nonzero rational number and y is an irrational

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Q: A store is having a sale on school supplies. The following expression represents the total of Jan’s ...

A: Greatest common factor  of a and b is a number that is the largest common factor of each of a and bo...

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

A: Solution:   

Q: Use the Comparison Test to determine if the series Σ 5n – cos 2n 2 n3 + n² + 1 n=1 converges or dive...

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Q: *3-40. The spring has a stiffness of k 800 N/m and an unstretched length of 200 mm. Determine the fo...

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Q: Problem 7 Show the derivation of formula for the conversion from spherical coordinates to rectangula...

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Q: 16x? 36y? = 1

A: Let us consider the equation x2a2-y2b2=1  It is standard form of hyperbola where transverse axis is ...

Q: For each problem, fill out a table like shown below. You must include the general steps for solving,...

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Q: A V log C5+zi)

A: According to the guidelines  I am answering only first question.

Q: Label the special right triangles with the correct "n" rules. 30 45

A: In the first triangle, we haveThe angle, θ=45°And in the second triangle, we haveThe angle, θ=30°And...

Q: Hannah Ortega is considering expanding her business. She plans to hire a salesperson to cover trade ...

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Q: e 4. Solve: y" – 2y'+y=- t

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Q: Check for Understanding You are almost done! Great job! Now to see if you have grasped the concepts,...

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Q: What type of reasoning is being illustrated in the following example? All even numbers end with 0, ...

A: It can be considered that an assertion or fact is given as ''All even numbers end with 0, 2, 4, 6, o...

Q: Use the Comparison Test to determine if the series converges or diverges. 00 Σ 5n – cos2n - n3 + n² ...

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Q: Problem 4. Show that if A is any nxn matrix, then the following hold. (i) A+ A" is symmetric. (ii) A...

A: (i). (A + AT)T = AT + (AT)T                 = AT + A                = A + AT Hence A + AT is a symme...

Q: Integrating Factor by Inspection: (6) 2x*dy = y(3x* + y²)dx = 0 .5

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Q: A man travels in a motorized boat at the rate of 12 kph from his barrio to the town and come back to...

A: The equation that describes the relation between the distance, rate, and time is Rate=DistanceTime.

Q: Associative law for multiplication of complex number ( z1 z2 ) z3 = z1 ( z2 z3 )

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Q: Question 33 Evaluate (~p q) -→~(rV ~q). O TTFFFFFT TTTEFFTT O TTFFFTTT O TTFFFFTT O TTTFFTTT O TTTTF...

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Q: The vertices of ADEF are D(2, 5), E(6,3), and F(4,0). Graph ADEF and its image when you translate AD...

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Q: 2012 N Q3 (i) Given that 2-3 5y i) Given also that = 25 , find the value of x and of y. 125x-2

A: Introduction: When we study the properties of an algebraic expression, we study the base, coefficien...