3. For each of the following, state whether the equation is ordinary or partial, linear or nonlinear, and give its order ordinary partial linear non-linear order 1 order 2

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: Question 3 Assume y is a differentiable function of x which satisfies the following equation: y2 +…

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Q: Let F = (5x,9x, 4) and G = (4,9x, 5). Calculate curl(F). (Give your answers using component form or…

A: The given functions are F=(5x,9x2,4) & G=(4,9x,5)

Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

A: Let's find.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Solution is given below:

Q: 10. xy' + 2y = 6x²/y

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Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: Find the area of the shaded region. Edit = Vco r = COs 20 r = 2 cos 0 NOTE: Enter the exact answer.…

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Q: Consider the following function. 1 f(x) : X. Find its average rate of change over the interval [4,…

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Q: nsider the Integral I when answering the following questions. g(x) dx

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Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: Use the Mean Value Theorem in applications Question If a rock is dropped from a height of 37 ft.,…

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 21x2 + 36x + 9 The…

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Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

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Q: Evaluate the solution of differential equation when y(0)=1 and y'(0)=D0. d?y dy-8y 0 %3D dt? dt

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Q: If 0 = then sin(8) = cos(e) %3D Give exact values. No decimals allowed! Submit Question

A: Given θ=2π3We can convert given raidans to degree. So, 2π3=2*1803=120°120=180-60We know that…

Q: Consider the following. u = 9i + 5j v = -8i + j + 6k Find u x v. 1li – 54j + 49k Determine if u x v…

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Q: Use a change of variables (and the Jacobian) to find the volume of the solid region lying below the…

A: Let's find.

Q: 1. If x = cos t and y = sin? t, then dy/dx is 2. Find Zxyx if z = xe?y + ye2x. 3. If s 10 t? + 80/t,…

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Q: f(x) = (sin x – 1) cos x on 2'2.

A: I am attaching image so that you understand each and every step.

Q: Given the series: k=0 does this series converge or diverge? O diverges converges If the series…

A: The given series is ∑k=0∞-16k. To check convergence of the series we use ratio test. Suppose we have…

Q: Consider the following. u = (6, -1, 0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | a(56…

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Q: Using the Maclaurin series for arctan(x), find the Maclaurin series for the given function. f(x)= -7…

A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: The world population at the beginning of 1990 was 5.3 bilion. Assume that the population continues…

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Q: 11. y'+3y = 3x2e-3x %3D

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Q: Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and…

A: To find equation of line passing through the point 2,6,−1 and perpendicular to both vectors −4,3,−5…

Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t< T L = %3D

A: To find the arc length of the parametric curve.x=8 cost, y=8 sint, z=6t; 0≤t≤π

Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…

A: In this question we have to find partial sum.

Q: Question A vertical cylinder is leaking water at a rate of 5 m /sec. If the cylinder has a height of…

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: I need some help with this question. Thank you :)

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Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: Solve the following differential equation using variation of parameter. 4y" – y = xe"/2; y(0) = 1,…

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Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

A:

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: You are driving a car away from home. Your velocity​ (miles per​ hour) t hours after noon is given…

A: Given:       vt=-5t4+40t3-149t2+180t  Distance you drove between 1:00pm and 2:15pm is given by…