if the following three points make up a triangle:(0,4),(2,-1) & (-2,2) What is the perimeter of the triangle? Find the area of the rectangle below

Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: (2) Let T : R² → R´ and S : R´ → R³ be linear transformations defined by T x + y x2 2.x1 13 + 15 and...

A: The linear transformation is defined as T:ℝ2→ℝ5 and S:ℝ5→ℝ3, where Tx, yT=yxyx+yx-y and Sx1 x2 x3 x4...

Q: 1. (ĀNBNČ) U (Ā Nn Bn C)U (ĀNBN C)U (ĀNBNC)U (An Bn C)U (An Bn C) a. ĀU B b. BUC c. A UC d. Ā U C 2....

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Q: Multiple Choice: log. is equivalent to A. 1- log, y C. -3 log, y B. 1+ log, y D. 3 log, y

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Q: 15wr If C(w,r) = find the constant k such that wC (w,r) + rC(w,r) = kC(w,r). 7(w+r) Enter the answer...

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Q: Pls do part b pls

A: Part (b)

Q: ... (Type a whole number.) Resort Number of toboggans (Type a whole number.)

A: The complete solution is in below

Q: Finding the second derivative of the given vector function r(t) = 3t 4 1- 31 2 + 4t k.

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Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)" - 1 In(4n + 3...

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Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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Q: Determine whetner the series is absolutely convergent, conditionally convergent, or divergent. 7- co...

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Q: f(x) = cos(r)(1+ cos(x)) - sin(r)(1+ sin(x)) f(x) = sin(x) + (1+x) cos(x) f(x) = (1+ sin(r)) + (1+ x...

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Q: 8. In order to have P50,000 in 5 years, how much should you invest if the compound interest is 5%?

A: Given : Amount=50,000 Time=5 years Rate of interest=5% Formula to calculate the Principal amount P=A...

Q: Question 4 Answer and give a brief (1-2 sentence) explanation for each of the following questions. n...

A: (a) Here given limn→∞Sn=3 where Sn=∑n=1nan is the sequence of partial sum of series ∑n=1∞an.  

Q: Prove that log3(25) is irrational.

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Q: 2. Laura owns and ope the sale of x cases a a. The company will sell in order to bre sentence with p...

A: This is a problem of application of differential calculus.

Q: A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 350 cases of...

A: We will construct a linear programming problem according to the given conditions and solve it using ...

Q: b) Determine each state's apportionment using Adams's method. State A B Total Population 1,223,000 2...

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Q: A small country is comprised of four states, A, B, C, and D. The population of each state is given i...

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Q: c) Is f onto? Answer yes or no and explain. Do not just quote the definition, but give a reason that...

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Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2...

A: Biref answer is given below.

Q: 5) Find the Maclaurin series for each of the following functions and give the interval of convergenc...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Verify if the ISBN for the book entitled Mathematics of Investment by Winston Sirug (2014) is valid....

A: Given that, ISBN number is 9789719905805   Here the total digit of the given ISBN number is 13. So t...

Q: Consider 3 0 4 0 2 7 0 0 1 В - (a) Find all eigenvalues of B. (b) Find a corresponding eigenvector f...

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Q: For A= {2,x,y} B= {w,x} C={1,2,3} U={1,2,3,4,w,x,y,z} Use proper set notation a) C- A AUB c) d) e) f...

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Q: Add the numbers HA36 and BE36 in base 36, expressing your answer in the same form, i.e., in base 36 ...

A: Number system

Q: find periodic interesr rate number of periods of investment 8% compounded quarterly for 9 years

A: Given information The annual interest rate r=8%. Length of investment is 9 years That is t=9 years S...

Q: olleges. Arts and Sclences, Engir ing, Business, ing Arts. rental statons to be appor among the five...

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Q: Let F, denote the nth Fibonacci number (F, = F2 = 1, Fn+2 = Fn+1+ F, for n > 1). Use %3D induction t...

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Q: COMPLEX ANALYSIS Define the set A as A:={-2<z<-1| z∈ℝ} or A:={|z|<1| z=1 or z=2}. Find the set of al...

A: This is a problem of topology.

Q: A single line divides a plane into two regions, two lines can divide a plane into four regions, and ...

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Q: Determine the point of intersection between the line and the plane. x = -8 + 8t, y = -8 - 5t, z = -4...

A: Brief answer is given below.

Q: A large hotel chain needs to apportion 20 new surfboards for its visitors to rent among three hotels...

A: Modified quota of A=7.93 Modified quota of B=6.57 Modified quota of C=4.83

Q: Given the points A(-9,4, –1) and B(-39, –2,-31) find a parametric equation of the straight line thro...

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Q: Prove the following propositions fo all positive integers n. 10' + 10² + 103 +… … + 10" = (10" – 1) ...

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Q: Find the first 4 terms of the Taylor series for the following functions: a. Inx centered at a = 1 b....

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Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t)= 122 + (...

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Q: b. Define a relation SER XR by S ={ (x,y) E R × R |x – y € Z }. Prove that S is an equivalence relat...

A: By equivalence relation, we mean that the relation is reflexive, symmetric, and transitive.Here we h...

Q: To find the inverse transforms, first express the given function of s into partial fractions which w...

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Q: Let T : R? → R² be a linear transformation. Consider two bases B and D of the vector space R?, [:] -...

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Q: A small country is comprised of four states, A, B, C, and D. The population of each state is given i...

A: We will round of the standard quota to allocate seats

Q: Find the domain of the function

A: 1. Given, the function                        H(x)=2x+3x3-4x                   

Q: 1 -5 -7 Let T be defined by T() = = Ax where A Then -3 7 T: R" → R™ is a linear transformation with ...

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Q: Rewrite the following function in a suitable way and sketch the function.

A: This is a problem of Heaviside function. It has application in Laplace transform.

Q: A resort plans to apportion 52 new toboggans among the four resorts based on the number of rooms in ...

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Q: Locate the Centroid of the area bounded by the x-axis, the line x=4, and the parabola y2 = x.

A: We have to find the centroid of the area bounded by curve.

Q: Question 2 Let Di be the solid in space that lies in the first octant x, y, z 2 0, and be- tween the...

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Q: Celeste Nossiter borrowed $600 from her father to buy a used car. She repaid him after 7 months, at ...

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Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

A: According to bartleby's guidelines, we are allowed to solve only one question at a time. So, the fir...