Part B Sx² + 3x – 5 13 — г3 ifæ < 2 - lim, +2 9 (x), if g (x) = ifæ > 2 |

Q: Use the Riemann sum with n = 2 rectangles to approximate dz. Round to 3 decimal places. A 0.867 0.72...

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: By applying Rolle's theorem, check whether it is possible that the function f(x) = a° + x – 6 has tw...

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Q: Use integrals to find the area of the region enclosed by the quadrilateral with vertices at (0,1), (...

A: Question-  Use integrals to find the area of the region enclosed by the quadrilateral with vertices ...

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

Q: Consider the points A(2, –3, 3), B(3, –5,0), C(-3, –4,0), and D(3, 3, –6). (a) Find the volume of th...

A: Given problem:-

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A: Find out the dimensions that will minimize the production cost.  

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Q3: Solve the following first order differential equations Use any method: 3. y cos(x)dx + 3sin(x)dy...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: graph f(x)= x4ex Indicate the important points (local max, local min, inflection, intercepts etc)

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: here point are (x,y,z) =(5,-3,-2)                        (a,b,c) = (-2/3 , 2/3 , 1) parametric equat...

Q: Which of the following sets of vectors in RS are linearly dependent? Note. Mark all your choices. O ...

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: (x2 - 4x + 4)4/3 dx -

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Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y ...

A: Given query is to find the integral form arc length.

Q: Obtain the general solution of the following differential equations.

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Q: Determine the general equation of the plane satisfying the given conditions: plane A containing the...

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Q: A. Let R be the region inside the curve C:r = 1+ sin 8 and above the line e: r = 3/4 csc 0 a. Find t...

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the f...

Q: R= {y = x^3 + 1, x=1, x-axis}   Can you help me answer this? And explain how did you get the answe...

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point  y = x3 + 1 When  x = 1 y = 1...

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Find an equation of the tangent(s) to the curve with parametric equations x = 1+ vt, y = e at the po...

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Q: Evaluate each of the following: 1 1. ſ cot 2v dv 6. S tanzã sec*vã 2. S tan* dr 2 csc*ny 3. S(tan 5w...

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: Let's find. 

Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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Q: (T^2-x)dt-tdx =0 when t=1 x=5 Ans,: x=1/3t^2 + 14/3t please show solution

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph ...

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) &gt; g(x) so they do not ...

Q: Find the specific nth term in the expansion of the binomial. (x+y)^15, n = 4

A: topic- binomial series

Q: 3. Solve this third-order ODE by using the method of undetermined co- efficients: y" – y = exp x . -...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: 4 5 y = x? – 8x – 6 + - 8x – 6 +a

A: We have to differentiate the given equation. 

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: II. Obtain the required order of derivative. 1. y? = 4x, find y" 2. x3 - y3 = c³, find y"

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Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vec...

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Q: 1. Find the area of the region enclosed by loop of the curve T = cos(46 one 1.0 y

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Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3 ...

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

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Q: Consider the following planes. 5x + 2y - z = 22 x - 4y + 2z = 0 (a) Find the angle between the two p...

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (6x-y)^12 ax^4y^8

A: The given binomial 6x-y12

Q: S sin(V2x)dx = sin(V2x) – V2x cos(v2x) + c %3D

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Q: Homogeneous Equations: Solve the differential equation +y? y' %3D xy O y? = x² In cx? x²y? = In cx2

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: The Fumetion flo) t kiniten as Paylor series abour x =0 4s deiwmine ihe series Lolos and mirite ouf ...

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