What is the general solution to the the differential equation 3y''-y' - 2y=0? (2/2)

Q: Given f''(x) = 6x + 3 and f'(-1) = 6 and f(1) = 6. Find f'(x)= and find f(4) =

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Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

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

Q: Find the indicated value. f(5,2) if f(x,y)=2x²y-5xy³ f (5,2)= 10 (Type an integer or a simplified…

A: Given a function fx,y=2x2y-5xy3 We have find the value of fx5,2 Derivative of a polynomial function…

Q: Find the linearization of the function f (x) = x³ at x = 1. L(x) = Using this linearlization, ƒ…

A: Answer is in next step.

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Solve (2y³ – x³) dx + 3xy² dy=0; y (1) = 1 O a. x² (5y³ x ³) = 4 b. ? (5y® — g - 23) x³) = 0 ○ c. x²…

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Q: 4. The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6…

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Q: 2. A force F = [-2,1,5] in Newtons, pulls a sled through a displacement s = [-3, 5, 4] in metres.…

A: Using dot product of vectors and obtain the magnitude of the force vector

Q: The cross product is anti-commutative. This means that axb=-bxa. Show this is true for a=(2,3,4), b…

A: Given  a→=2,3,4 and b→=-5,-4,-3. We have to show that  a→×b→ = -b→×a→.

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: Find the sum of the first four terms of the series. S4= (-1)^(1+3)*1+(-1)^(2+3)*(1)/ (Remember that…

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 8xy fxx (x,y) =…

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Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Find the indicated value. f (2,3) if f(x,y) = 4x²y - 2xy³ f (2,3)= (Type (Type an integer or a…

A: fx represents the partial derivative of the function f(x,y) with respect to x. Also fx(a,b) is the…

Q: Find the area of a triangle PQR, where P = (-1,-1, 1), Q = (4, -3, -6), and R = (1, -6, -3) Check…

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Q: (a) As an iterated integral, with limits of integration A = B = C = D= Suppose f(x, y, z) = E = F=…

A: Let's evaluate triple Integral.

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

Q: Let a = (-5, 1, 2) and 6 = (2, - 1,3). Find the angle between the vector (in radians) Check Answer

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Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

Q: Find the second derivative of the vector-valued function r(t) = (4t+ 3 sin(t))i + (5t + 3 cos (t))…

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Q: 1.3: The derivative of the function sin(cos x) is a) cos(cos x) b) cos(-sin x) c) sin x cos(cos x)…

A: The given function is: fx=sincosx As we know from the Chain rule: fgx'=f'gx·g'x And the common…

Q: where does xk come from

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Q: e cos(x) = 1 + sin(xy) 2 2

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Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

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Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: y = [x + (x + sin² x)³]4 I

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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A: Here we will find the definite integral,

Q: Given x = y² +y + 1 from 0≤y=2 The Arc Length of the given curve over the interval is a. 7.38 units…

A: I have stated the used formula in the solution

Q: 60° IIPII=23 Q Find the EXACT components of the vector above using the angle shown. P Check Answer…

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Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

A: This question can be solved using the concept of angle between two planes.

Q: Using logarithmic differentiation, find the derivative of e-3x √√2x-5 (6-524 f(x) =

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: we need to find out the partial derivatives of profit function with respect to x and y.

Q: If C(x) = n=0 ∞ n=0 2n + 1 2n + 2 2n ²n and S(x) = ∞2n+2 2n + 3 n=0 -x²n+ find the power series of…

A: The given power series, Cx=∑n=0∞2n+12n+2x2n and Sx=∑n=0∞2n+22n+3x2n+1

Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: Let a = -17-23 + 3k and 6 = 67-53-4k. Find a b Check Answer

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let f(x) = f'(x) = f'(9) = 4log7 (x)

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Q: 1. Let f(x, y) = y²exy. (a) Find the normal vector to the graph of f(x, y) at (0, 1, 1).

A: Please see the below picture for detailed solution.

Q: Convert from polar to rectangular coordinates (0, 7/7) (Round your answer to 2 decimal places where…

A: Part iGiven,            0,π2

Q: A body of mass 4 kg is projected vertically upward with an initial velocity 34 meters per second.…

A: Solution is given below:

Q: x Cothx Y = (Sink x) 4 Find dry" dx [ Sin'x]

A: Given: y=sin hxx cot hx

Q: Let f be a continuous function such that D -3 f(x) dx = F 3. What is the value of f(x) dx = -2 and…

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Q: Write a limit using summations that would equal 0 tan (2x) dx.

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Q: I ― √co COS X lim x 0 1 cos x

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Q: A curve has an equation x² + y² + 4x − 6y - 12 = 0 · Find the area bounded by the curve O 78.54 O…

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Q: Find the area under the curve y 2 I over the interval [1, 4]

A: Find the area under the curve y=2x over the interval [1, 4]

Q: Find the area under the curve y Т over the interval [1,4]

A: Topic = Area

Q: 1. Consider the vectors ā=27 +47-6k, b=-37+k, and a = 37-2k. [K/U] [1] a) Find the magnitude of the…

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Q: Suppose R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y =…

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Q: For the function f(x) = two periods. Amplitude: A Period: P = -2 sin HARE Number Xx 37 4 Enter the…

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Q: + y² x² + y² = 64 from x=-1 to x=-3 Find the length of arc of the curve x²

A: Given: x2+y2=64 From the limit  x=-1 to x=-3 To obtain the length  of the arc: