Find the solution of the initial value problem dy/dx=27e^6x_3y ,y(0)=0

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

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Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, –4, 0), and D(6, 2, –6). (a) Find the volume of t...

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Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

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Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

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Q: Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions specif...

Q: L:x = 2 – t, y = 3 + 4t, L2: x = 4t, y = 1 – 16t, z = 4 – 8t z = 4 + 2t

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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: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

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Q: eny x+9 dx dy e+y en8 Iny dy %3D en8 e [ e-e] dy eny en8 [ye- e° ] dy | ل ام مو ] en8 | ye- e° - e ]...

A: Let I=∫1ln(8)∫0ln(y)ex+ydxdyI=∫1ln(8)∫0ln(y)exeydxdyI=∫1ln(8)ey∫0ln(y)exdxdyI=∫1ln(8)eyex0ln(y)dyI=∫...

Q: me: urse/Year/Section: Date: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan...

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Q: +oo (x – 1)" Consider the power series >- log n n=2 (a) Show that the resulting series when x = 0 is...

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Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

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Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

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Q: For the function f(x) x3/3 - 3/4 x2 - 27/2 x + 39 1. determine the coordinates of the turning oints...

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Q: Recently, the bowling scores of a certain bowler were normally distributed with mean 201 and standar...

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Q: 1. sinx siny dx + cosx cosy dy = 0 %3D 2. [2xy cos(x2) – 2xy + 1]dx + [sin(x²) – x²]dy = 0 3. y?dx +...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

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Q: 1 Scos 3x sin* 3x dx 1.

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Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ ...

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial deri...

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Q: |lu|| = 3, Ou = 0° ||v|| = 2, Oy = 60°

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

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Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

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Q: wnd the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given by...

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Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: 10. In the diagram below, the conical part's radius and height are seven centimeters and ten centime...

A: Given: Radius of the  cone =7 cm Height of  the cone =10 cm Diameter of the cylinder=  14 cm  Height...

Q: If a cars position on a straight road is given by p(t)=t^3-6t^2+8t find the inflection point for the...

A: Given query is to find inflection points.

Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4...

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Q: Find the critical points of f(x) = x³ – 21x² + 72x and use the Second Derivative Test (if possible) ...

A: f(x)=x3-21x2+72xFor critical pointDifferentiate the function f'(x)=3x2-(21×2x)+72f'(x)=3x2-42x+72Tak...