Solve the given differential equation by undetermined coefficients. у4) — 2у" + у" %3D еx + 1 2 x vx) = C1 + xc, + (°3 +c4)e* + y(x) 2

Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

Q: 1. Given the points (-3, 5) and (6, -2): a) Find the slope of the line through the points. b) Write ...

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Q: You are the Director of Infrastructure Management at the Nash Telecommunications Company. You are ta...

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Q: If k is any real number, prove or disprove that sinkx 1. lim x-0 kx 1. 1-coskx 2. lim = 0. x+0 kx

A: Given query is to find prove the following limits.

Q: 7. The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level...

A: We have to find the velocity, maximum height and time to reach maximum height.   According to our gu...

Q: 325 Given the demand function D(p) = Find the Elasticity of Demand at a price of $43

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Q: let

A: F(s) = (s+1)/(s+9),  

Q: 3) Determine whether the sequence converges or diverges. If it converges, find the limit. 3n+2 An 5n

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Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 50x - 0.05x² - 650. (A) Find the av...

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Q: ミ 42~x2 =ト 3ト %3D

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Q: 4. Find if x + y? = 2xy. dx (2) (6) y +x (b) y - x (c) 1 (d) y

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Q: Which of the following sets of forces acting on an object could not be in equilibrium? O a) 4 N, 4N,...

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Q: 5)ohow all Stes in the solution of the polynomial ineguality beiow. (メーム じ o

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

A: Given:       ∑k=1∞1kk+2  The series converges. Rewrite the term:       ∑k=1∞1kk+2=∑k=1∞-12k+2+12k

Q: Find all Solutions för e such that 2/3 (а) sec @ %3D 3 (b) 2 sin? 0 – sin 0 = 1 (c) sec² x – 2 sec x...

A: a. given secθ = 233secθ = 23θ = sec-1(23)we know that secθ is positive in I and IV quadrantθ = π6, 2...

Q: Af(x) Use the graph of the function f shown to estimate the indicated limits and the function value....

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Q: a comma-separated list of equations.) Find all horizontal and vertical asymptotes (if any). (If an a...

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Q: a = 2î - j+ 3k b=i-sj+2k c = 4j-k (а) (b) (c) (d) Determine the sum of the vectors a, b and c. Calcu...

A: Given      a=2i ^-j ^+3k^  b=i^-5j^+2k^c=4j^-k^ We have to find sum of all vector , magnitude , unit...

Q: Problem 3 a) Suppose C(r) is the area of a circle whose radius is r, and S(r) is the area of the cir...

A: Firse make the digram then find the area of square and circle and divide and find the answer.  In 2n...

Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: os made. te the cost function for this company. C(z) = te the revenue function for this company. R(r...

A: Given query is to find the cost function, revenue function and profit function.

Q: 2. The figure below shows the graph of a function over a closed interval -2,3. At what domain points...

A: Here, from the given graph we can say that function has a jump discontinuity at x=0 and removable di...

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dx x²+9

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Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t x12x+2ydyd...

Q: F+9 2x-(4+F) 4. Let f(x) = VBx -(F+5) h(x) = Vx + (k + 3+ F) and g(x) = . Answer 8+K the followings:...

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Q: x²+2 2. ミト

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Q: Incot3x dx sinh e* 1+9x

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Q: )In this problem, you will find the volume of the solid generated by revolving the region bounded by...

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Q: For the series below calculate find the number of terms n that must be added in order to find the su...

A: Given:   Limit is given

Q: Explain how you would know whether to use combinations or permutations. You can use examples to make...

A: There is a simple difference between the two.

Q: Solve the given differential equation by undetermined coefficients. y(4) – 2y"" + y" = e\ + 1 y(x) =

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Q: Suppose for a particular commodity, e = 1.4 and that currently 90,000 units are selling for $20 each...

A: We have to find the decrease in revenue due to increase in price by 1%.

Q: Find dy/dx by implicit differentiation. x²y2 + x sin(y) = 4 dy/dx %3D

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Q: Let A, B, and C be as shown below. 2x A =|-4 1 B-5, 4] [3y 2] c = [g 11 ol C = 4 a. Find 2B – CT b. ...

A: Given: A=y2x-4154     B=x43y2  C=01-10d. BAf.CB

Q: A parallelogram is determined by the vectors = (-2, 5) and 7= (3, 2). Determine the angle between th...

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Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

Q: (3y– 2)cy y² +2y+17

A: Given integral I=∫3y-2y2+2y+17 dy some formula  ∫1a2+x2 dx=1atan-1xa+C∫f'(x)f(x) dx=ln(f(x))+Cwhere ...

Q: dy Assuming - 3x° + 6y + 3xy =0 defines y as a differentiable function of x, use the theorem dx Fx t...

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Q: Find the derivative of the function. y = xe¬x8 y' = (1 – 8r*) e=*

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Q: 102 /sin?xcos (2x)dx

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Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height a...

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Q: 5 - 2x + x² 3. lim 1 - 4x 1 - 6x 4. lim x→-o 4x2 – 4x + 1

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Q: Xy +Sx+5?= 2

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Q: Consider the function f(x) =c'e". For this function there are three important intervals: ( 00, A, A,...

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Q: Consider the function f(r) 7x + 4z . For this function there are four important open intervals: (-00...

A: critical numbers are those such that value of the derivative of the function is zero.

Q: |(csc h5B- coth 5H°¢B

A: To find: ∫csch5β-coth5β2dβ Formula used: coth2(ax)=1+csch2ax∫csch2axdx=1acoth(ax)∫cschaxcoth(ax)dx=1...

Q: In x Use the change of base formula logą x = In a to show that logą x = dx x In a d d loga x = dx dx...

A: Please refer to the image below

Q: f(x+h)-f(x) = 2xh+h^2 -3h compute and simplify  f(x+h)-f(x)/h

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