Q.14) A sequence {()L a) converge to 3 b) diverge lecreasing

Q: dy dx = (1 + y²)ex dx

A: As per the instruction, we will be answering the first question. For (1),      y'…

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a =j+ k, b = i +4j -…

A: Given a=j+k b=i+4j-2k

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

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Q: Find the area under the curve y = 3x 2 from = 1 to x = 2 .

A: We have to find the area of the given curve.

Q: Q.3) +4x+8 dx m a) tan-1/3+2 +c b) in 2 + c c)e()+c d)+c

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Q: Question 2. Evaluate the following integral 1. 1., integration (shade the region). Show all your…

A: Given problem:-

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î+ 2j-7k…

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Q: Find the radius of convergence of the power series. (If you need to use oo or -00, enter INFINITY or…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using horizontal…

A: Given problem:-

Q: √4x+4-√√5x+1 x-3 k B) 1 CO Q18) if f(x)= 2 700 116 D)- 1*3 point A) and if f(x) is continuous…

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Q: 5a) 1 x[In (2x)]3 S.₁- -dx 5b) X ² (x² - 4)" S₁²7 3/2 dx

A: As per guidelines, I can answer only one question. Since both the question are not interrelated. So…

Q: 3. If the line through (-1,3) and (-3,-2) is perpendicular to the line through (-7,4) and (x,2),…

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Q: Evaluate the following integral using spherical coordinates: [ z dz dy dr. 0

A: Given problem:-

Q: Evaluate +y² 1 Ez² + y² JJJ₁² dV, where E lies between the spheres z² + y² + 2² +2² 16 in the first…

A: Given that,

Q: 3. Find the solution of the following systems of differential equatio (c) [x' (t) = -6x (t) + 4y(t)…

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Q: 1. 2y" — 7y" + 12y' + 8y = 0

A: Note:- As per your request i am solving here question no. 1

Q: LAJM Q.16) Using the method of partial fractions x²-3x² b)-1 Q.17) The general term of the sequence…

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Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: 4. If u = xy + y²z³, where x = rset, y = rs²e when r = 2, s = 1,t = 0.

A: We have to find solution

Q: 4. Integrate the function below using Algebraic Substitution and 4 lines only (solution + answer). S…

A: ∫un du = un+1n+1 +C .

Q: x3 16 + x² dx, x = 4 tan(0)

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Q: Find the volume of the parallelepiped whose edges a A =î - 13ĵ+ 4k, B = 31+ 2j-7k and Ċ = î -

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Q: Bingo's Copy Center needs to buy white paper and yellow paper. Bingo's can buy from three suppliers,…

A: Concept: linear equation in three variable solutions: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3…

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: What is the solution of 3x2 + 6xy2 + (6x2y + 4y2 ) y' = 0

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Q: C(q) = q³ - 11q² +52q and R(q) = -3q² +2400q, what is the minimum marginal cost? Given Cost and…

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Q: Question 4 (a) An object is moving with position vector r(t) = cos(cot)i+sin(at)j + at³k. (1)…

A: Given :position vector :r(t)=cos(ωt)i+sin(ωt)j+αt2kω=π and α=2 and t=3

Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤ = Je d.A

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Q: (b) Given that (p(x,y)=xsin(y)+x²y, determine the following (i) F=Vo (ii) ² (iii) V.F (iv) VxF

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

A: We have to find the area bounded by the curves.

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: 2. dx (x+1)√x-3

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Q: Find dy dx 1. 2 y = coth(esinx) tan-1(oooh x3)

A: As per bartleby guidelines we only give first question answers.

Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

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Q: 1. Sv 2x - x² dx

A: ∫ un du = un+1n+1+C ∫ cos(ax) dx =sin(ax)a+C

Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts

Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and f'(0) = 5,…

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Q: ute the area of the polygon with vertices at 5,1), (3,-10), (-3,-3) (-2,0)

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: According to the instructions, We are instructed to answer only one question , the other questions…

Q: Find the Jacobian of the transformation z = 4u – 6v, y = u² − 2v

A: The objective of the question is determine the jacobian transformation.

Q: 1. A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

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Q: Q.16) The general term of the sequence -2,2.- (11)M+ight (n+1)! .n=1,2,3,.. b) (-1) (n) .n=1,2,3,..…

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Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of f at x…

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Q: 3. Erin, Catherine, and Shannon are dividing a large bag of candy. They randomly split the bag into…

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Q: (16,5) 5 10 15 (4,0) (16,0) (a) Find the length of each side of the right triangle. Distance between…

A: The triangle has vertices 4,0, 16,0, 16,5

Q: Find Maclaurin's series f(x) = √2x

A: We have to find the Maclaurin's series for f(x)=e2x

Q: dy y (1-√y)² 2

A: Given :∫dyy1-y2

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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