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Q: Solve the system 2/x2 + 1/y2 = 11, 4/x2 - 2/y2 = -14 by the method of your choice.

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Q: Find the product : [8y + (7 - 3x)][8y - (7 - 3x)].

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Q: If P(x) = -1/x then the integrating factor is a. e-* 1 b. С. -x d. e-1/x

A: Consider the linear differential equation: dydx+pxy=qx The integrating factor for above linear diffe...

Q: Find the general antiderivative of each function. (can check by taking the derivative F(X) = (5- 3x2...

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Q: Calculus Question

A: y=ln(|x2+5x|8) We know ln(x2)=2ln(x) y=8ln(x2+5x)

Q: Find all zeros of the polynomial function f(x) = (x - 2)2(x + 1)3.Then graph the function.

A: Given: fx=x-22x+13 for finding zeros of given polynomial, we equate it with zero

Q: find the general solution of the given equation. y" - 64y = 0

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Help! Please and thank you! Problem is attached!

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Q: Fill in the blank/s: When solving 3x2 + 2y2 = 35, 4x2 + 3y2 = 48 by the addition method, we can elim...

A: The equations given are 3x2 + 2y2 = 35, 4x2 + 3y2 = 48.

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: What is the shortest possible length of the line segment thatis cut off by the first quadrant and is...

A: Consider the given curve: y=3x Here, the objective is to find shortest possible length of the line s...

Q: Choose the correct

A: The given integral is, I=∫cos7x+5dx Now, substitute z=7x+5in the above integral, z=7x+5⇒dzdx=7⇒dz7=d...

Q: Matt paid $119.50 interest on a loan at 4% simple interest for 2.5 years. How much did he borrow?$

A: Given:Interest=I=$119.50Rate of interest=r=4%=0.04Time=t=2.5 yearsTo find:The principal a...

Q: 2. Show that the sum of the first 2n terms of the series 1-글 + 1 1 + 3 1 1 두 + 는 -후 + - - 2 2 3 4 4 ...

A: Consider the given series. (1) First check that the series is converge or not. Let S is the sum of f...

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) - 40,000 + 100x + ...

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Q: With with these and round it to the nearest cent two digits after the decimal

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Q: Properties of the Transpose In Problems 39–42, either prove the properties in general using the fact...

A: To Determine: properties of the transpose:either prove the properties in general using the fact tha...

Q: COSO 十1 ex

A: Known fact: ddx∫pxqxft dt =fqx q'x-fpx p'x.

Q: Explain how to find a particular term in a binomial expansion without having to write out the entire...

A: Binomial theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+....+CnnbnWhere Crn=n!(n-r)!r! Using the binomial th...

Q: Missing piece Let g1x2= x2 + 3. Find a function ƒ that produces the given composition. 1g ∘ ƒ21x2= ...

A: We have, gx=x2+3 ⋯⋯1 And g∘fx=x4+3 From the definition of composite function, g∘f is def...

Q: For the velocity field that is linear in both spatial directions (x and y) is V-›= (u, ? )...

A: Calculate the vorticity vector. In which direction does the vorticity vector point?

Q: Find the area of the region bounded by the graphs of the equations y = sin r, y = sin' a, x = 0 and ...

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Q: Solve the quadratic equation by completing the square : x2 + 6x = 7

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Q: Graph the function. g(x) = -} sin x

A: To Graph: gx=-12sinx Concept: Transformation of Graphs: y=cf(x) c>1, stretch the graph in the ...

Q: Let sint= a, cost=b, and tan t= c. Write the following expression in terms of a, b, and c., 4 tan (-...

A: We first try to simplify the given expression using trigonometric identities. 4tan(-t)-tant=-4tan(t...

Q: Use properties of the indefinite integral to express the following integral in terms of the simplest...

A: Given: ∫-4x2+7x dxProperties of the Indefinite Integral:∫cfx dx=c∫fx dx∫fx+gx dx=∫fx dx +∫gx dx

Q: Use the table to evaluate each expression. (a) f(g(1)) (d) g(g(1)) (b) g(f(1)) (e) (gof)(3) (c) f(f(...

A: Given table:

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship...

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Q: What can you say about the relative position of two nonzero vectors if their dot product is zero?

A: Dot product of two non-zero vectors is zero. We know that two vectors are perpendicular if and only ...

Q: 14.3 3

A: Given: ∫04∫y32-y2x2+y2dxdy

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Suppose the outer perimeter...

A: Given Perimeter of window= 600 cm Length of base = x Radius of semi-circular part = r =x2

Q: Ise a total differential to approximate ound your answers to two decimal pl f = af = [

A: We are given a two variable function fx,y and point P4,-5,3 and Q3.98,-5.02,3.02. fx,y,z=2xy2z3. To ...

Q: Find any relative extremes of the functions and use a graphing utility to confirm your results. f(x)...

A: Given: f(x)=xcoshx-1-sinhx-1 Concept: Critical Point:x=c is called critical point of f(x) if eitherf...

Q: A rectangular garden is to be constructed using the side of a building as one side and fencing for t...

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Q: 4- I want answer of this question. Thanks

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