x-6x-4 dx x+2

Q: Find V x (V x F) if F(x, y, z) = 2:xy j+ 9xyz k. V x (V × F)

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Q: Find curl (3z i+ 4xj+9yk). curl(3zi+ 4xj+ 9yk) = ( i )i + ( i j+( i %3D

A: We have to find the curl of the given vector.

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: pythagoras theorem hypotenuse=altitude2+base2 given altitude y=-4     here altitude is a side which…

Q: t*dt then If f(x) = 3 f'(x) =

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Q: Find the volume between the cone y = Vx² + z² and the sphere x2 + y² + z² = 25. volume =

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: B.Verify if the relation 1. y =xe* is a solution to y"-2y'ty=0 3X 2. y = e?%cos (2x)is a solution to…

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Q: Q5) Find the integration by using (by part method): S e3X sin X dX

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Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

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Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: Which of the following systems of linear equations has a solution of (-2,-8)? S 8x + 2y = –32 | y =…

A: To determine which of the following systems of linear equations has asolution of -2, -8.1…

Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

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Q: Find the radius of convergence, R, of the series. xn + 6 7n! Find the interval, I, of convergence of…

A: For the series ∑an radius of convergence we will follow the following stepslimn→∞an+1an<1  and…

Q: Find V x (V x F) if F(x, y, z) = 2:xyj+ 9xyz k. V × (V × F) %|

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Q: 1. 2x2 + 4x + y = 0,y = 2x %D %3D

A: Given :

Q: ng Part I of the Fundamental Theorem of Calculus, evaluate: da t'dt =

A: Given query is to find the derivative of the expression.

Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: Given: z = a' + æy", r = uv² + w®, y = u + ve" az Find when u = 2, v = – 3, w = 0 dv

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Q: 2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following…

A: Solved below.

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Given function:  f(x) = 4x^3 - 7x^2 + 2x - 5 A. Find the exact x & y coordinates of stationary…

A: Given: f(x)=4x3-7x2+2x-5

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. a = 5 and b…

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Q: Find the area bounded by the curve y = 4x-x and and the lines x = 0 and y = 4. %3D Answer.

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Q: a) Determine the position function, s(t), of an object if the acceleration is a(t) = 5t , (3) = 0,…

A: We know that a= dvdt, v= dsdt In particular, when velocity is positive on an interval, we can find…

Q: Find all points (if any) of vertical tangency for the curve represented by x = t? + 2t – 3 and y =…

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Q: Consider the differential equation xy" + 3xy' - 3y = 3x - 2x. (a) Verify that yi = x and y2 = x…

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Q: Given z = f(а, у), а — г(и, v), у — у(и, v), with 2(0, 2) = 1 and y(0,2) 4, calculate z,u(0, 2) in…

A: We have to find the value of zu(0,2).

Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

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Q: Problem No. 1: Evaluate - dx using basic substitution method.

A: First I have used the substitution to make integral easy and then evaluate it.

Q: Solve the following problems. 1. (x²-2y²) dx+3xydy=0

A: This question can be solved using the concept of homogeneous differential equation.

Q: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

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Q: Use Newton's method to approximate a root of the equation z + x + 4 = 0 as follows. Let x1 = - 1 be…

A: we have to find approximated root

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: Use the chain rule to find and , where as z = x² + xy + y, x = 6s + 9t, y = 5s + 8t %D First the…

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Q: Evaluate the definite integral. e16t i + e¬tj +t k )dt O el6 – 1 (e-- - 1) + i+ (e-1 – 1) j + , k 16…

A: To solve the given integral.

Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

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Q: Question 3 Suppose C=0, so that 2y 24y 5x3 = 0. Find all points (x,y) at which the tangent line to…

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Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: B. Find the interval of convergence of the power series and find the sum of the series as a…

A: Series convergence

Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

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Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. %3D If u(1, — 3) — 7, и, (1, —…

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Q: Find the volume of the solid Formed by revolving the region bounded by the graphs OF y=x +1, y = 0,…

A: Find your answer below

Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

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Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F) = (4(y+2), 4:x, 0)

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Q: Determine the largest interval that pλ must lie in to approximate p with a relative error of at most…

A: 3. Determine the largest interval that pλ must lie in to approximate p with a relative error of at…

Q: : Consider the differential equation xy" + 3xy – 3y = 3x2 – 2x. %3D = x -3 (a) Verify that y1 = x…

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Q: Find the average value of the function over the given Interval and all values of x In the Interval…

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