ORDER DEGREE LINEAR OR NON- LINEAR a2u a?u a2u = 0 ax2 ay2 ' az² (x + y)dx + (3x? – 1)dy = 0 d²r d?r 3 + dr +yT

Q: Se2*dx 8.

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Q: months

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Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

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Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

Q: x(х + 1)(х — 2) 54. у 3 %3 (x? + 1)(2х + 3)

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Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: For real number p, let f and g be defined by f(x)= e¬*x³ and g(x)=1/xP, respectively on [1,0). f(x) ...

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Q: ORDER DEGREE LINEAR OR NON- LINEAR x*y" + xy" = e* (y')? – 3yy' + xy = 0 d2 ds t dt t2 = 1- sint dt?...

A: See the details solution in below

Q: In Exercises 9-26, find fx, fy, fx, fyy, fry and fyx- 9. f(x, y) = x²y + 3x + 4y – 5 10. f(x, y) = y...

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Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

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Q: (x+1)dy = (2xe* – xy – 2y)dx

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Q: 1 3. lim x0 1-cos x =too -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x)

A: Let's find. 

Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

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Q: Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is...

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Q: For real number p, let f and g be defined by f(x) =e3 and g(x) = 1/xP, respectively, on [1,00). f(x)...

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Q: 구 6 -4 -8 -7 -6 -4 -3 -2 2 3 6. -2 -3- -4 -5- -6 -7- -8+ lim f(x) = x→ - 3+ Enter the limit. If the ...

A: Topic:-  limits   

Q: A. (xey + x)dx – (x²ev + 4e')dy = 0

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where...

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Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: 13.

A: y=tsint1+t

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3 a...

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Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

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Q: (b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").

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Q: nsw

A: [16+(-4)](-4)

Q: 2 sec wdw a) 1

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Q: 2. Consider the following graph of x = F(y) and x = G(y). 2- The orange curve is F and the purple cu...

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Q: Sec o

A: The solution is given in the next step.

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: E Homework: Homework 5.4 4 6 in terms of sums and differences of logarithms. 4 9 m'b Express log 4 6...

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Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: Find the curvature of y = cos x at the point (,). Then find the equation of the osculating circle at...

A: To find: The curvature y=cosx at the point π4,22 also find the equation of the oscillating circle at...

Q: Electric charge is distributed over the rectangle D= {(x, y): 14 <I< 17, 12 < y < 15}. Assume that t...

A: We have to find the total charge on D

Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

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Q: -8 dx J3 (x2-12)

A: Here we have to solve the given integral.

Q: 1. A particle moves along the x-axis so that its velocity at time tis given by v (t) = t6 –13t4 + 12...

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Q: c x(x²-x+2) dx is equal to 3

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Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

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Q: dy 2. x + ( 1+x)y e -Xsin2x dx

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Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

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Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

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Q: and stra ight and x:8 Let R be an area enclosed by a curve. : 1 Using the disc method, which is the ...

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Q: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter wi...

A: Solution of the problem as follows

Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: Find the second derivative of vx - Jy= 4 when x = 1. 2 1 -1 -2

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Q: 3-5x - 2.r, if r >1 4 lim f(x) if f(x) = -3 1 + x – 1 - 4x, if r <1 13 – 1

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