Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx

Q: 23: Solve the initial value problem 2√ = cos² (y) and y(0) = 2. lease write your answer in the form…

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Q: In Exercises 35-40, find the partial derivative of the function with respect to each variable. 35.…

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Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: +∞ Σ n=1 (x + 1)" 3°/m² + 1

A: Given Power series,∑n=1+∞x+1n3nn2 + 1

Q: If 0 = sin(0) = 1 3 cos(0) = .π₂ then Enter exact values. No decimals allowed!

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: If sin(0) and is in quadrant I, find the following: 7 Give exact values. No decimals allowed! cos(0)…

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Q: 1.15 The expression 23-1210-5 can be written as 2f(z), where f(x) is a function of æ. Find f(x).…

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Q: Determine whether the series +∞0 [[CDS-¹ (-)-CO₁¹ (1) Σ|cos -1 -1 n=1 converges or diverges. If the…

A: This is a problem related to series and sum calculation. Please find the procedure given below.

Q: Find the coordinates of a point on a circle with radius 10 corresponding to an angle of 55° (x, y) =…

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Q: (b) 3x + 11 S 2 -dr x²-x-6

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Q: Find the exact length of the curve described by the parametric equations. x = 7 + 6t², y = 9+ 4t³,…

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Q: Complete detailed solution. What is the equation of the tangent line at (0,0) of f(x)=2x²-3x

A: We need to find out the equation of the tangent line at the given point to the curve given.

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

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Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

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Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

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Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Determine if the geometric series converges or diverges. If a series converges, find its sum. 2 1 1…

A: Given the series, 18+182+183+184+185+........

Q: Find the area of the region that lies inside both curves. r = 2 + cos(8), r = 2 - cos(8)

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Q: - Simplify: sin(x)tan(x)=1- 1-cos²(x) cos (x)

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Q: 3. Let S be the surface defined by the vector function (2e" sin v, 2e" cos v, u²+u), Find an…

A: We are given in our question a surface S defined by vector function R(u, v) = <2eusinv, 2eu cosv,…

Q: Fill in each blank with an angle between 0° and 360° such that sin 200° = sin and cos 200° = COS

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Q: (b) x-2º dr

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Q: Watch... Q Consider the graph of f(x). 201 16 12 8 0-1 0 1 0-2 The University of N... O 6/7 02 (4,…

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Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: Graph the function. Plot all necessary asymptotes. For vertical asymptotes, make sure there are at…

A: To graph the function.

Q: This answer is w

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Q: Find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye⁹², P(2,…

A: Given :gx,y,z=xye9zP2,2,0, Q0,0,0

Q: Find a power series representation for the function. f(x) = F(x) = 2 ( [ n = 0 X (1 + 3x)² R= ()…

A: Given data ÷ f(x)=x1+3x2 We need to find power series representation of f(x).   Using formula…

Q: Find the gradient of the function at the given point. g(x, y) = 9xex/x, (17, 0) Vg(17, 0) = (No…

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Q: IF Y= 2x² + 5x dy and d = 4, find at when x = 3.

A: See this solution in below

Q: Complete detailed solution. What is the equation of the tangent line at x=1of f(x)=1-2x

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Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Q2: Find the surface area generated by rotating for y = x² - ln(x) for x = [1, 2] about the y-axis.

A: We need to find Surface area.

Q: The circle given by the equation x²+y²+ax+by+c=0 passes through the points (2.0), (-1,7) and (5,-1).…

A: Put given points into given equation

Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

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Q: Use the figure to find the exact value of the following trigonometric function. tan (20) tan (20) =…

A: We can find tan(2 theta) by multiple trigonometric formula.

Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

A: Solve the following

Q: 1. Use the substitution method to evaluate S₁² VAZ ²³ + 50 dx

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Q: A vendor at a carnival sells cotton candy and caramel apples for $2 each. The vendor is charged $175…

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Q: g(x) 8. Assume that f(x) and table. Use the following table to calculate the following derivative. 1…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

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Q: Solve the differential equation. dr t In(t)r + r = 9tet

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Q: Write an equation for the polynomial graphed below 4 3 2- M -5 -4 -3 -2 -4 -5 + y(x) = 7 7 2 + 4 +…

A: To find the equation of polynomial from the graph

Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

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