Je 6xe5 dx = [ + C

Q: 2.) = x³ - 6x² +9x+2. Find the relative minimum/maximum, on · g(x) = x³ - 6₂ what interval is…

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Q: 5 Consider the vector field F = Evaluate L.F F. dr along the curve C: r(t) = 2 cos(t)i + 2 sin(t)j,…

A: F→=x4y5,x5y4The curve r→t=2costi+2sintj ,0≤t≤π4

Q: Problem 3. (10 points) A particle moves on a straight line with velocity, v(t) = 4—t² m/sec. Find…

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Q: 1. Compute the dot product between the vectors (2,1,-1) and (-1,1,-1). Are the vectors orthogonal?…

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Q: Evaluate the surface integral. Slov S is the helicoid with vector equation r(u, v) = u cos(v) i + u…

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Q: A student's parents offer him one of two options in order to receive scholarship money for college.…

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Q: Find the flux of the vector field F - across the part of the plane z = 2 + x + 4y above the…

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Q: Given f(x, y) = sin(x + y) where x s5t², y = 5s-2t. Find Commod f₁(x(s, t), y(s, t)) = ft(r(s, t),…

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Q: Use the graph of y = f(x) to find lim f(x). x →∞ lim f(x) = x →∞0 y = 0 y=-3 2+ X -2+ x = −3 x = 0…

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Q: You are given relationships: g = x² - y² ; x = t cos r; y = t sin r; and values t = 3 and r = π/4.…

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Q: TT -S" "7 Siny dydx. 0 y X Let I= a) Sketch the region of integration. b) Setup the integral I in…

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Q: At time t, the position of a body moving along the s-axis is s= -1³ +121²-45t m. a. Find the body's…

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Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

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Q: Evaluate the following summation: 3 ΣΣ i=1 j=i-1 Enter your answer as a single integer (no words): A

A: We have to find the value of,  ∑i=14∑j=i-13ij.

Q: Find the center of mass of the solid S bounded by the paraboloid z = 2x² + 2y² and the plane z = 10.…

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Q: A cone shaped coffee filter of radius 6 cm and depth 10 cm contains coffe which drips out from a…

A: Note:- According to the company policy we can attempt only three subparts of a question so please…

Q: 4.Describe the largest set S on which it is correct to say that f is continuous b. f(x,y)=(1+x² +…

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Q: (7) (4x³-9x² + 7x + 3)ex. dx = A) e-*[4x³ + 3x² + 13x + 16] + C B) -e [4x³ + 3x² + 13x + 16] + C C)…

A: Given,   We need to find the integral.   (A) ∫(4x3-9x2+7x+3)e-xdx

Q: Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1…

A: Given: Monique and Tara each make ice cream sundae. Monique gets 3 scoopsof Cherry ice-cream and 1…

Q: Question 11 Let R be the region bounded by y=x, y=2x, x= 1, x=2 6 y RX² + y² - SS₂² and I= - dA. b)…

A: I=∬R6yx2+y2dA The region bounde by y=x,y=2x,x=1,x=2

Q: NAME: 5. ID: BLOCK: _DATE:_ A force of 20 Newtons is applied to an object at an angle of -35° with…

A: To calculate the work done on an object by a force, we use the formula: Work = Force x Distance x…

Q: 56. Directrix: y = -3

A: To find the standard equation of the parabola with vertex at the origin  and having directrix y=-3.…

Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

A: The integral is ∫34+x10dx

Q: Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13. www OA. The…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the given…

Q: Find the surface area of the part of the plane z = 4 + 2x + 3y that lies inside the cylinder x² + y²…

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Q: Let c, x, 3 be nonzero real numbers such that c # ß. Find a given that

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Q: ID: BLOCK: _DATE: A ship leaves port on a bearing of 28° and travels 7.5 miles. The ship then turns…

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Q: 1. Find all the first partial derivatives of each function a. f(x,y)=(2x−y)* b. _ƒ(x,y)=(4x−y²)²″…

A: (1)  (a)  f(x,y)=(2x-y)4

Q: Find 1₁ (3x + 5y)dA where R is the parallelogram with vertices (0,0), (-3,3), (5,-4), and (2,-1). R…

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Q: The area Y = x² is equal to y between two curves y = √√x and 7. =

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Q: Find the surface area of the part of the plane z = 6 + 3x + 4y that lies inside the cylinder x² + y²…

A: Plane is z=6+3x+4y. Cylinder is x2+y2 =4.

Q: Find the linear equation of the plane through the point (1, 2, 3) and contains the line represented…

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Q: Determine interval of convergence of the series (-1)*(x-1)" m=1 (-1)"(x+1)" serisinin yakınsaklık…

A: To find the interval of convergence ∑n=1∞ -1n7x+1nn7

Q: A circle is Second. Find the 3mm per rate at which the area is changing growing, its radius…

A: A circle is​ growing, its radius increasing by 3 mm per second. We have to find the rate at which…

Q: = The region D above lies between the two red lines and the red parabola y describe in two ways. 4…

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Q: Evaluate ay'da + x³dy, where C' is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)…

A: ∮ xy5dx + x3dy , where C is the rectangle with vertices (0,0) , (3, 0), (3,1), (0,1).

Q: A group of 100 people were surveyed about what hot drink they like and the results are in the table:…

A: Solution:A group of 100 people we surveyed about what hot drink they like and the results are in the…

Q: Find the equation of the tangent plane to the graph of f(x, y) = ln (4x² - y²) at the point (1, 1).…

A: The given curve is:f(x,y)=ln4x2-y2

Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. f(x) = (3x…

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Q: Let f (x) = cos x - sin x for 0 ≤ x ≤ π/2. Find the area A of the region between the graph of f and…

A: Given function, f(x)=cosx-sinx for 0≤x≤π/2

Q: ३ dy Зу + = dx XX 2x+y4

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Q: For the following function, find the Taylor series centered at x = π and then give the first 5…

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Q: Find the area between y = 7 sin x and y = 10 cos x over the interval [0, π]. Sketch the curves if…

A: The region between curves y=7sinx and y=10cosx over the interval 0,π

Q: Unless specified, all approximating rectangles are assumed to have the same width. 3 Let f(x) = (a)…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: Find the infinite sum of the following series. 11) am = 32. m-1 (9) 12) 5, 3, 9/5, 27/25, ...

A: Given: 11. am=32.12m-112. 5,3,95,2725,... We are required to: Find the infinite sum of the given…

Q: Evaluate the surface integral. JS (x + y + z) dS, S is the parallelogram with parametric equations x…

A: For solving the given problem

Q: A triangle is defined by the three points: A = (10,4) B = (3,2) C = (8,5). Determine all three…

A: We have to find the angles in the triangle.

Q: Σ (+1)"e=" n=1

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given differential equation  dxdt = 8et - 6x( 0 ) = 4