Find the DE of each of the following by eliminating the arbitrary constants. y =Ce* +C2cos.x +C3sin x

Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

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Q: tant dt. 1+ t2 F(x) = 1-2т

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Q: Let f be a differentiable function. If f(60) = 378 and f'(60) = 6, use a linear approximation to est...

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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: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

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Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s + 0...

A: Given:- The stopping distance for an automobile (after applying the brakes) is approximately F(s) = ...

Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

A: On changing determinant of row to corresponding column, there will be no any change on determinant.s...

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded by the graph of f(z...

A: Given:     f(x) = 4√x    Interval: [ 0 , 16 ] 

Q: 16 9. 4 in

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 An...

Q: 6. Compute the volume of the solid that lies above the paraboloid z = r² + y? and below the half-con...

A: Given: z=x2+y2z=x2+y2

Q: A function f(x,y) is homogeneous of degree 7 in x and y if and only if, __________.

A: Given problem is solved below.

Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

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Q: For the missing elements to satisfy the condition A-1 + 14 = E e 2 b 3 5 -2 A 4 -2 i -3 Ly a 268 14 ...

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Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

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Q: 1+ cost -dt = со 1- cost True

A: We are asked to find given statement is correct or wrong

Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3  Find 1) dy/dx  2) dy when x= -4 and dx= -0.01  3) ∆y when x= -4 and ∆x=-0.01 

Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

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Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

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Q: siven the differential equation dy + 3t dt + 4y = 2 e" cos(5t) di2 Determine the Characteristic Equa...

A: Given: t2d2ydt2+3tdydt+4y=2e9tcos5t

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

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Q: Eliminate the arbitrary constant in the equation: a.) x²y = 4+Cy b.) y-x = C1e^x + C2e^-2x c.) y = 2...

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Q: 1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on...

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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: 22 – 11z + 28 Find the limit, if it exists: (Do not use L'Hospital's rule) lim 7 2 – 26x + 133 Note:...

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Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

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Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices a...

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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: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

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Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

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Q: Use the Integral Test to determine whether the infinite series is convergent. -n2 16пе n=6 Fill in t...

A: This is a question related to series and sequence calculation. For using integral test for given ser...

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: 2.b) Eliminate the Arbitrary Constants in the equation: * x²y = 4 + Cy x?y = 4 + y' x?y" = -4y O b. ...

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Q: x3(75 − 14x4)5 dx

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

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Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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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: x'dy+(2xy – y² )dx = 0 Let the substitution y= y=vx; dy= vdx + xdv

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Q: S 4- e-2) cos(e- + In z) dz

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Q: 14.25 т/sec 16.25 m/sec

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Q: Alden found a partially completed 5-D table: 6. Define Do Decide Target 74 Trial 1: 15 2(15) = 30 15...

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Q: S In²sinx -dx , the integrand is In the expression /= tanx Insinx A tanx B -Insin3x+C 3 In?sinx tanx...

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Q: Discuss the continuity of the function whose graph is shown below. Your discussion should addres a. ...

A: Given that: Graph of a function.

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Given: V(t)=14550e-0.169t

Q: Below is the graph of y = x +5. 20- 15 10- -4 -3 -2 -1 0 1 The area bounded by y = x +5 and the raxi...

A: Given problem:- Find The area bounded by y= x2 +5 and the x-axis from  x=-3 to x = -1

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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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: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *...

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