Solve the following system of IVP: -3 3 x' = Ax where A =-2 -1 1 and x(0) 21 %3D 3.

Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: Since multiple subparts are asked, I am answering first 3 subparts. Here we will use first…

Q: (b) Determine the by using the Chain rule with the following information: z = cos (x"y^) – sin (z +…

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: Use limits to determine all the linear asymptotes of 3x2 – 5 if a1. a² + 2x – 3'

A: Let's find.

Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree…

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Q: Find the derivative of the function using the definition of derivative.

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Q: Find the absolute maximum and minimum values of the function over the indicated​ interval, and…

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Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: 7. Point P(-5,k) is on the terminal arm of angle 9 in standard position. If csc9: 13 then: 12 12 a)…

A: This question can be solved using the concept of relation between rectangular and polar coordinates.

Q: Convert the point(r,o) from polar to nectangular COordinates ( Ca,s

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Q: Let f(x) = r³ – 3.r² + 4. Using the Mean Value Theorem, determine the value of c € (0,3) such that…

A: Given    f(x) = x3-3x2+41. Continuity:     we know that, every polynomial function is continous in…

Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

A: Use the  Alternating Series Estimation Theorem and solve the problem.

Q: (c) Determine whether the following function continuous at point (1, 1). Justify your answer. (x²-xy…

A: To determine whether the following function is continuous at the point 1, 1.fx, y=x2-xyx-y  if x,…

Q: Solve the equation: xydx + (x² + y²)dy = 0 O y?(2x² + y²) = c O 2y(2x² + y²) = c

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Q: 10 | f(x)dæ 43 what is 11' Given that f(8)ds? 10 answer -

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: find the fun Ction Y= f(x) that satisfies hp Jメ 8x² + 7 , 7, F (0) = -13 コ

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Q: Answer 2 only

A: Solved below

Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: Problem 9 Solve the following Cauchy-Euler equation: ²y" +3ry +17y = 0

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Q: Se*V9-e2x dx

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

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Q: Find the Taylor series centered at x 3 for the given function. f (x) = In(x+ 2)

A: Here, the given function is: f(x)=ln(x+2) Now, f(3)=ln(3+2)=ln…

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: I = -2+3s z + 4 1. Consider the lines defined by the equations l : x – 2 = y – 1= and l2 : y = -1+ s…

A: Given:  l1= x-2 = y-1 = -z+42=tl2= x+23 = y+1 = z-2-4=s

Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: F (x, y, z) = x²yz² – 3xy°z + 2y°z²

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Q: (In billions of dollars per year) can be modeled D'(t) = 841.51 + 815.24t- 189.51?+19.16t where t is…

A: Given

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: We have to solve only D, as asking in the question.

Q: dB Bln's

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Q: Find the surface area formed when the curve f(x)=x^3 between x=1 & x=3 is rotated around the x-axis

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Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

Q: (c) f(x, y) = V3x + y?, x = 2, y = 0, dx = 0.01, dy = 0.01. %3D %3D 1 f. 2/3x + y? 3 (i) 3x+y? (ii)…

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Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

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Q: (i) g(x, y, z) = In(3.x²yz); . %3D

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Q: Find all points on the graph of ƒ(x) = 2 sin x + sin?x where the tangent line is horizontal

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Q: 1 5. Find y" of y= sin 3x

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Q: Jim is flying two kites. He has 99 feet of string out to one kite and 110 feet out to the other…

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Q: 2) Verify that the function f(r) = In r satisfies the hypotheses of the Mean Value Theorem on the…

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Q: f (x) = (x³ – 5x + 2)(x² + x – 7); find f'(x) %3D

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Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: 6. For each of the following series determine if the series converges or diverges using the…

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Q: Step Pattern From Vertex Equation Vertex Direction Describe of Transformations Opening y = -2(x +…

A: 1. y=-2x+72+8vertex formy=a(x-h)2+k  vertex = ( h , k ) = ( -7 , 8 ) x y -6 6 -5 0 -4 -10…

Q: For the following sequence solve A to C , explain all questions. an= 1/5+3^n A. What’s the limit? B.…

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Q: (1) Use the following graph of f(x) for the problems on this page and the next page. 15 10 10 15 20…

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Q: 28 74.6

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Q: a. rdt1.0: sending side

A: Note- I am answering the question as per diagram as further details does not mentioned in your…