Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

Q: 12 Let A be a square non-invertible matrix. Which of the following is not true? Select one…

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Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: Which of the following will make limx→c f(x) and f(c) equal? limx→2 : (x²+x-6) limx→–1 (x³ − 2x + 3)…

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Q: What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition…

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Q: Evaluate the following integrals. (a) (b) Sx√4 x√4 + x² dx

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Q: Question 2 Evaluate: Express your answer in three decimal places. limx→8 e-2 a-8

A: The objective is to evaluate the limit.

Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Use limit definition to solve

Q: Find the general solution for the following Deferential Equations using Undetermined Coefficients…

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Q: d. y""-6y" +12y' - 8y = 0

A: d) Given y'''-6y''+12y'-8y=0  The auxiliary equation is m3-6m2+12m-8=0 solving we get,…

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: We are asked to find the area of the shaded region.

Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

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Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

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Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

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Q: (1) IF: a 21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find a.b, a.c, č.ā (a+b).(a-b),(ã+c).(ā-) (ã+2b-3c). (ā-…

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Q: (5) Ind SSS ay dV, where B lies under the plane z = 1+x+y B and above the region in the xy-plane…

A: 5. We need to find the triple integral: ∭Bxy dV B lies under the plane z=1+x+y and above region in…

Q: Evaluate: lim, 0 sin 2t t³ (t-1)²

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Q: 0, -5<z<0 92, 0≤z<1 then 11, 1<x<5 E If f is the Fourier series of g(x) = f(z)- What does f(-5)…

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Q: D Question 8 For the function y = (x - 2) Inx what are the two x intercepts, and between the two…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it.  The…

A: Let's evaluate given integral.

Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

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Q: d- d³y dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Give the solution for Product rule, quotient rule, general power rule 5 8-ax y = 8 + ax/

A: Here we have to use the product rule, quotient rule and general power rule.

Q: Sketch an angle 0 in standard position such that 0 has the least possible positive measure and the…

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Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A: We need to do integration of our given function. Which we can do it as

Q: By reversing evaluate LE O the order of integration double integral cos (x²) do dy LE

A: Hello learner we can answer first question as per the honor policy. Please resubmit other question…

Q: what is the lim f(x)9(x) if lim g(x) ln f(x) = +∞ x→a x→a

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Q: (2) Compute dy dx if mxy=55

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Q: √-x if x1

A: Sketch the graph of f(x) Given information; The function is fx=-x,   x&lt;012x,      0≤x≤12x-x2,…

Q: Ⓒ Differenitale y = √3x-7 X

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Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

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Q: 6. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Find the area of the triangle in IR³ that has vertices P₁= (1, 0, 1), P₂=(2, 3, 1) and Ps= (0, 2,…

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Q: dx (x² - 64)² = 256 + x + 8 256 + x-8 2048 In (x+8) - -In (x-8) + C 2048

A: Follow the procedure given below.

Q: 8 What is the lim+2+ (2²4-²2)?

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: Formula:- Volume of Parallelepiped = [u v w]

Q: Give a general solution of the differential equation y"—4y'+13y=4e¯5t .

A: To find the general solution of the given differential equation.

Q: Evaluate the surface integral f F.dS where F(x, y, z) = yz i+zxj+xy k and S is the S surface z =…

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Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: For the function f(x), whose graph is shown below in blue, find lim /(x). The red vertical dashed…

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Q: Solve the equation 6x^(3)-23x^(2)-6x + 8 = 0 given that x = 4 is a solution. precal

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Q: Question 4 Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary…

A: We need to evaluate limit.

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

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Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

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Q: Prove the identity sin(-0)- cos (+0)

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Q: Find the direction angles of the vector. (Give your answers correct to 3 decimal places.) u = −3i +…

A: Topic = Vector