2 4x+1 2) s - dx

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

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Q: If f '(x) = x7, what is f(x)? (Remember the constant of integration.) f(x) =

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A: f'(x) = (x-5)e-x To determine:- Interval on which f(x) is increasing or decreasing

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Q: (iii) {(x, y, z) = R³: (x, y, z). (1, 1, 1) = 0} = {(x, y, z) = R³ : x+y+z = 0} = {(1,-1,0), (1, 0,…

A: Given,   {(x,y,z) ∈ R3:(x,y,z)-(1,1,1)=0}={(x,y,z) ∈ R³:x+y+z=0}=L(1,-1,0),(1,0,-1)} and we need to…

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Q: Write an equation for each polar graph. TT 7 T 6 A. r= 3cos80 C. r = 3sin80 27 3 4T 3 FIN 2 3T 2 71…

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Q: 5. Find all critical points of the given function and use the second derivative test to identify…

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Q: Solve the system of equations using Cramer's Rule if it is applicable. 5x = 20 5x + 10y = 0 Write…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  the matrix A is…

Q: When solving the logarithmic equation log(x - 5) + log(x+4)= 1 for x, the solution is = and an…

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Q: an= 5(-2)n-1 Find a 10

A: Given nth term of the sequence is an=5(-2)n-1 The task is to find a10

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Q: Evaluate the integral, [9. 9xe ²x²+6dx

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Q: First, use integration by parts to find [3.re 3reª dr Second, use the improper integral and the…

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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

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Q: 1 The improper integral ſo 3(2-7 dx equals Select one: 00 O None of the others O In 2 O ∞ O -∞

A: Given integral: ∫0713(x-7)dx The given integral is an improper integral because the function 13(x-7)…

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Q: of zy³dz + ry dx + x²dy, where C is the rectangle with vertices (0,0), (2,0), (2,6), and (0,6)…

A: The vertices of rectangle is 0,0 , 2,0 , 2,6 , 0,6. Evaluate ∮xy4dx+x2dy=?

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Q: Find the surface area of the part of the plane z = 7+ 4x + 6y that lies above the rectangle [0, 4] ×…

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Q: Use Green's Theorem to evaluate LF Fnds, where F = √+4y, 2x + 4y) C is the boundary of the region…

A: To solve the given problem using Green's theorem.

Q: 2. Use cylindrical shell method to find the volume of the solid obtained by rotating the region…

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Q: d d²y and and find the slope and concavity (if possible) at the given value of the parameter. (If an…

A: given,  x=6t, y=4t-4 and t=3

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Q: f(x)=3x²-x-2 Is the point (2,8) on the graph of f? If x= -1, what is f(x)? What point is on the…

A: Since we are given with the multiple number  of subparts and  answer will be according to the…

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation r(u, v) = = (u cos v, u sin…

A: ∫a2+x2 dx = xa2+x22+12sinh-1(x) .

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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: Find the second derivative. 21. y = 3 tan x

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Q: Find the general solution of the following differential equations USING ROO a. (D²+1)y = csCX b. d²y…

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A: A license plate must contain 3 numerical digits followed by 3 letters.

Q: Use differentiation and/or integration to express the following function as a power series (centered…

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Q: If m s f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the…

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Q: Tell whether the expression is a polynomial. If it is, give its degree. If it is not, state why not.…

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Q: 1.Find the indicated limit or state that is does not exist lim(3x²y — xy³) a. b. (x,y) →(1,3) lim…

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

A: Given differential equation dRdt = 114t4R( 1 ) = 35

Q: 2) Compute the integral of f(x, y) = (In y)¹ over the region D: D bounded by the curves y = e, y =…

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