dy + xdx + 2ydx = 0

Q: What is the lim f(x) where f(x) = {x" + 10x+24, if x -3 %3D X-3 A. 0 В. 3 С. 12 D. DNE

A: Given: fx=x2+10x+24, x≤-3-x, x>-3   As we know that; The limit limx→afx exists when the left-hand...

Q: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

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Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with ...

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x<.

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Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: Evaluate the integral using the following values. 6 dx = 260, х dx %3D 10, dx = 2 4 4 "x³ dx

A: Given query is to find the value of the integral.

Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: 2n + 2 (a) E(-1)"+1. Vn3 + n² + n n=1

A: The given series is: ∑n=1∞(-1)n+12n+2n3+n2+n Now, let  an=(-1)n+1(2n+2)n3+n2+n &amp; bn=nn3=1n32-1=1...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: The amount of a certain drug in a person's blood t minutes after administering the drug is given by ...

Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

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Q: 1. Determine if the series cos" () en? n=1 is absolutely convergent, conditionally convergent, or di...

A: Given series ∑n=1∞ cosn1nen2

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min....

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Q: 4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p and q that repre...

A: We have to complete the truth table and to find the following question.

Q: Find a formula for the nth term of the arithmetic sequence. a3 = 95, a6 = 107

A: topic- arithmetic sequence

Q: 0 if x V2. Prove or disprove that f is continuous.

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Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: Determine the set of points satisfying the condition described by Iz – 2i| + |z + 4i| express in the...

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Q: Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into...

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Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

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Q: y=3-x + xlnx solves y' = Inx y = solves y' = y? 1-x

A: This question is based on differential equation.

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE: Ente...

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Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ – (3...

A: Given problem:-     To find:- fy(x, y) 

Q: Find Is, Iy and I, for the area enclosed by the loop of y? = x²(2 – x) %3D

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Q: 1. we have to evaluate the following integrals 4 dy de a.

A: a ∫14∫12 (x/y + y/x)dydx ∫14 [xlny + y2/2x]]12dx ∫14 xln2 + 2/x -1/2x ∫14xln2 +3/2xdx [(x2ln2)/2 + 3...

Q: A solution composed of 50% ethanol (EŁOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: 5. Suppuze that.the..are..a.regian.is 2 SinG 3T/4 rdrd@..sketch. the.vego.and. T/4 find the.al.RMa.

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Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,...

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly repo...

Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =...

A: We have to find average distance from origin of a point between the two given spheres. 

Q: 出w-2 Verify that Wメy Wyx for the functions's T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

A: Since you have posted multiple question at a time as per guidelines we can solve only one question a...

Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

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Q: Identify which below is a separable Ordinary Differential Equation 2xy a. y': х(у — 1) — у dy _x+ y ...

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Q: xy' + y = 0, y(4) = 6 y'cosh?x = sin² y, y(0) = }7 TT y' = -4.x/y, y(2) = 3 xy' = y + 3x* cos² (v/x)...

A: As per guidelines, I can answer only one question. Since you have asked for multiple questions, so I...

Q: Find the area of the surface generated by eY + e -y revolving the curve x - in the interval - In 5 O...

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of pyrami...

Q: o be 66 centimeters, with a possible error of 0.9 centimeter.

A: answer of given question is in step2 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k? = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y2 no matter what value the constant k ha...

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Q: 1) Write an expression for the corresponding wave moving with a speed of 2 m/s in the increasing x d...

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Q: Consider the two functions fx) = 5x + 5 and g(x) = 5x - 5. a. Determine the instantaneous rate of ch...

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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Q: 4 | a sin(3y+ x²)dydx, 2 a) Sketch the domain of integration on an (x,y)-plane. b) Set up the integr...

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Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

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