Q3. Use the integral test to determine whether the series, n=1 divergent. 1 (n+1)√n+1 is convergent or

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A: Differentiate

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Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

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A: Given problem:-

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A: The equation of tangent line

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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Q: QuIf w=f(u, v) = cos uv, u = xyz ,v= 4(x²+y²) dw Prove that = 0 at the this point (x,y,z)=(1,1,1) дх

A: Given : w=f(u,v)=cos uv   , u=xyz ,v=54(x2+y2)   To Prove: ∂w∂x=0   at (x,y,z)=(1,1,1)

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A: Given: Notice that 3x+5 is continuous for x<4 and 13+16/x is continuous for x>4. Now, we need…

Q: Consider the following system of linear equations: -11x + 3y +-31z 118 -4x + 1y+-11z = 42

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Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: Please do not handwritten your answer, pure typewritten only!

A: We have to prove that product xy of two real numbers x and y is nonnegative if and only if the…

Q: Use the Laplace transform to solve the given initial-value problem. y'' − y' = et cos t,    y(0) =…

A: Given :y'' − y' = et cos ty(0)=0, y'(0)=0

Q: a = [0,-1,7] and b = [2,4,-3].

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Q: f(x) = 3 X at xo = 1

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Q: 3.. cos(x) is not an odd function O True O False

A: Given query is to find statement is true or false.

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A: In this question, we need to determine whether the given series converges or diverges.

Q: 2 Σ(-1)+1n? + 5 m2 + 4 n=1

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Q: Use the formula: PMT= (PV) 1-(1+i)*

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A: topic - exponential function

Q: 6x² - 2x - 1 4x³ X jo dx

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Q: Find f'(x) if f(x) = = f(x) = x² 3x-2'

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Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11.

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A: See the answer below

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Q: Let f(x) = tan¯¹(cos(2x)) f(x) =

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

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Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 1 21 -1 23 12₂₁ +1…

A: Here is the solution

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Q: Evaluate the iterated integral y² T² (4x+10y) dxdy. 0 O O 11 10 0 -1 O 1 O All of the above Y 11 10…

A: Given query is to find the value of the integral.

Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

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Q: 1) Compute the value of representation √√√√3-i in exponential representation and polar

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Q: (0²-16)³/2 de A3

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Determine the local maximum and local minimum if exist. b. Find the inflection point if exist.

A: Solve the following

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

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A: To determine that the differential equation is exact or not.

Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: 1 1- x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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