Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; Particular Solution: Y=C₁+ C₂ eax + C3 ebx +dxe-x+ fe2x C1 C2 C3 a b d 4 x = 0, y = 0, y = -1, y = 2 Use 1 decimal place.

Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: What is the correct answer 4 isn’t right

A: Follow the procedure given below.

Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: 18 What is the total degree G? 3 6 5 VI e₁ V2 ez VA

A: From the given graph G, we have to find its total degree

Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

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Q: 1. Find the length s of the circular arc. (Assume r = 9 and ? = 114°.) s = _____ (not 33.74,…

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Q: B)Solve the differential equation **

A: Here, the given DE is: dydx=x6+4yx⇒dydx=x5+4xy⇒dydx-4xy=x5 which is a linear DE with P(x)=-4x&…

Q: dx (x+3)²-25 7.57

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Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p=…

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Q: Home Work: Solve the following system of equations. 1 -1 2 0 2 -3 1 -4 3 X₂ 14 1 -4 5 -1 X3 -1 4-2…

A: We can solve the given system of equations.

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: Find both first partial derivatives. z = 8y2 sqaureroot x

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Q: )

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using

A: To find the volume of body bounded by given curves.

Q: Based on the table below, X 0 1 2 f(x) 43 32 38 Evaluate f(2) f(2)= Solve f(x) = 1 X= 3 54 4 83 5 6…

A: We need to find f(x) at which the value of x is 2

Q: 4. Express the integral as an equivalent integral with the order of integration reversed. 2√x (a) ff…

A: The process of switching between dxdy order and dydx order in double integrals is called changing…

Q: 8. Use the Gaussian elimination method to solve for all the variables in the following set of…

A: Solving the problem by finding the value of x,y and z.

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

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Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: e The median weight of a boy whose age is between 0 and 36 months can be approximated by the…

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Q: Is the series absolutely convergent, conditionally convergent, or divergent? Justify your answer,…

A: We have to find out convergent test As per guidelines we have to solve one question Please repost…

Q: B)ls w = Ze² analytical function or not?

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Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

A: This question is related to distance and speed, we will solve it using given information.

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

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Q: 3 X and f'(-2) if f(x) = 6x. 8 (-2)=(Simplify your answer. Type

A: Given: f(x)=x38-6xTo find:f'(-2)

Q: Use logarithmic differentiation to find y = x³ (5x + 3)¹ (2x - 1)5 dy dx given

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Q: The manager of a restaurant found that the cost to produce 100 cups of coffee is $10.55, while the…

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Q: Evaluate the integral. (Use C for the constant of integration.) X + 17 J dx x² + 16x + 68

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Q: -4 -3 -2 -1 0 3 4 1 2 Write an interval to describe the set of values shown above.

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 6,    (3, 1)

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Q: Find the solution of the initial value problem y" — 2y' – 3y = 6te²t, y(0) = 1, y′(0) = 0. NOTE:…

A: We have to solve the given differential equation.

Q: 14) A 300-foot cable weighting 4 pounds per is hanging from which 300 feet Level. Find ground the…

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Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…

A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

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Q: dy Find , given y = log3 dx 10- x 2x5

A: Given y=log310-x2x5⇒y=log3e · loge10-x2x5      Using the property: logab=logac·logcb

Q: While three watchmen were guarding an orchard, a thief slipped in and stole some apples. On his way…

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Q: Suppose the revenue from producing (and selling) x units of a product is given by R(x) = 15x-.06x²…

A: To find marginal revenue at production level of 35.

Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: We have given  Resistance (R)= 423ohm  Current (I)= 0.05A  dV/dt= -0.06V/s  dR/dt= 0.04ohm/s

Q: Find dy given that x = sec² y y. dx Osec² ytan y cos² y tan y 2 Osin² y cot y O cos² y cot y

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Q: Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

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Q: 12. Given the point ( 2, 1) on a tangent line to the curve ƒ(x) = x² − 2x + 5 find the point(s)…

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Q: 11. What point on the curve y = x4, does the normal have a slope of 16

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Q: sec² x 0 1+tanx If sh -TT/2 -TT/4 TT/3 TT/6 O dx In 2, then what is the value of k? =

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Q: Question 9 Given f(x, y, z) = zey 0 0 01- 02-/ O 2e² - 3 Onone of the choices - X sin (#), what is…

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Q: Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y - 5z…

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Q: At point (1,-1,2). 4

A: