y=2C1cos(2x)+C2sin(2x), Eliminate Arbitrary Constant

Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

Q: 1419857* -dx 4913*

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Q: Finding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable...

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Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...

A: Given: m=∫0r2πxρxdx  ...(1) And ρx=6x ; x=6   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 A...

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: To find the points which is not in the domain secx

Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4...

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Q: 3) y' dx-(xy+y*) dy-o Let the substitution v= i y vx; dy-vdx+xdv %3D )x*dy+(2xyy*) ax -o Let the sub...

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4 Lfe...

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30 ∫-5210f(x...

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light, 2...

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Q: Calculate the Taylor polynomials T,(x) and T3(x) centered at æ = 1 for f(x) = ln(x + 1). T;(x) = T;(...

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Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

A: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: 69x420

A: Given query is to perform indicated multiplication operation.

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: 4 Suppose that f(1) = 9, f(4) = -7, f'(1) = 6, f'(4) = -1, and f" is continuous. Find the value of :...

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Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

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Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

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Q: 1. y'dx-(xy + y* \dy = 0 Let the substitution y=2; y= vx; dy=vdx+xdv

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Q: Find the equation of the line tangent to the graph of f(x)= (In x)2 at x= 3. y%3D (Type your answer ...

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Q: 5 The function f(x, y) = | x' cos is homogenous inx and y of degree

A: Given that: f(x, y)=x2cos2yx-y2+x3y

Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

Q: A projectile is fired straight up from a platform 10ft above the ground, with an initial velocity of...

A: Topic:- application of integration

Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: Select all transformations applied to the graph of function f(x) = Vx to get the graph of the functi...

A: Given query is to find the the transformation applied.

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

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Q: )ca) if vector as 6=2ナリーk Calculate axb and bxa. (b) Find The area of the paralletogrmais bounded by...

A: Area of parallelogram of the vectors a and b is a×b.

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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Q: 2. x'dy+(2ty– y°l&x =0 Let the substitution y=²; y=vx; dy=vdx+ xdv

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Q: 1. Consider a rectangle with perimeter 28 (units). Let the width of the rectangle be w (units) and l...

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Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: Determine the values of x for which the given function is undefined. (Let k be any integer.) y = co...

A: To determine the values of x for which the given function is undefined. y = cot x 

Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: DIRECTION: Solve the given differential equation below with clear solution y" – 6y' + 15y = 2 sin 3t...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: On the graph of f(x) = csc x and the interval (0, 27), for what value of x does f(x) = –1? Choose al...

A: Topic:- trigonometry  

Q: For the surface x? + y? = 2z? a) Find an equation in cylindrical coordinates b) Find an equation in ...

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Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

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Q: Solve the homogenous differential equation.

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Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: të the area covered by the curv om xi X2

A: Given query is to find the area bounded by the curve from x= -1 to x = 1.

Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

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Q: The augmented matrix of a linear system has been reduced by row operations to the form shown. Contin...

A: topic - solution of linear equations using matrices

Q: x(/x+y) +у) — 8 — ху

A:

Q: A rectangular storage container with an open top is to have a volume of 10 m³ . The length of the ba...

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Q: y'+ 3 y = 4 x y(0)= 3 Y(x)=|

A: We can solve the initial value problem as below.

Q: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x  

Q: 2. Find the absolute maximum and minimum values of f(x, y) = 4x+6y-(r²+y?) on the rectangular region...

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