Using √√x + 1 √x-1 express the final answer in terms of X. Substitution Rationalizing dx = y² + 4y+ 4ln(y-1) + C,

Q: Sketch the graph of the funcuon f(x) = 2x-3 x2-4

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Q: x³ - y = 0 Determine the area bounded by the curves x² and y + 3x² 4 = 0, using a vertical element.…

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Q: ind a value c that verifies the conclusion of the Mean Value Theorem for the function f(x) = x² on…

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Q: Estimate the value of 217(1/3) a. approximation b. differentials

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Q: Evaluate the integral S cos ³ x + 8 sin x cos³² x + 6s in ² x dx; cosx #0 2 cos²x

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Q: Find the area bounded by x² = 4y + 4 and x = y - 2. Using vertical element, what is the integral…

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Q: Find the point of intersection of the terminal side of the angle 11 with the unit circl 6 Ⓒ (-1/2/3…

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Q: Evaluate the following double integral over the given region R. 11 2 ln(x + 1) (x+1)y Use…

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: anufacturing budgeted $60,000 per mont for lab rials. If $x is spent on labor and Sy is spent on…

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Q: y = 3sinh (3t) 3 s² +9 9 S² +9 O A) C) O B) D) 3 $²9 9 s² - 9

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Q: The volume of solid of revolution when rotated along x - axis is given as A ny²dx a B Sny²dy a c…

A: We can find the solution to the given problem by using the disk method.

Q: answer

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Q: 1. x3y2 + xy3 = 2x2

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Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

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Q: Determine the derivative of the following imp of paper, assuming that it is differentiable.

A: given is x+y3=2c(xy4)differentiating both side with respect to xdxdx+dy3dx=d(2c(xy4))dxusing product…

Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

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Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

Q: Set up the integral representing the area of the region between the curves = -1, x = 4, y = 2x - x²,…

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Q: Use the given the function: (z+2)(x-3) f(x) = (x+1)²(x-2) to answer all of the questions below.

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Q: x-y Using the transformations u=x-y and v=x+y to evaluate SS dA over a square region Rx+y with…

A: As per bartleby guidelines we only give first question answers.  Let's evaluate given double…

Q: Evaluate the following double integral over the given region R. SS 4 ln(y + 1) (x + 1)(y + 1) Use…

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Q: The value of x for which the series - n³(x-3)" OA. 2<x<3 or 3<x<4. O B.2<x<3 or 3<x< 4. OC. 2<x<4. O…

A: We need to find value of x.

Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis TT b is…

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Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: it costs 0.05x2 + 6x +100 dollars to produce x pounds of soap. Because of quantity discounts, each…

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Q: 4 -1 서 sy9921 dyiyF0 ry ; yfo

A: Solution of given question is written in below steps.

Q: Find dy if: y = ln(x + √x² + a² a. none of these O b. 2 √x²+a² 1 √√x²+a² 5 x-a 2 √x+a O C. O d. O e.

A: Given that y is

Q: The tangent line to the curve at the point (1,2) also passes through the d²y point (-1,4). If at any…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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Q: fy = √2 – 3x², find d'y dr2

A: Given query is to find the Indicated derivative.

Q: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…

Q: Let F(x, y) be a continuously differentiable vector field satisfying property problem. Show that…

A: Answer is given in next step.

Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

Q: The figure is the graph of the derivative, ƒ', of a function f on [-3,3]. ครั้งที่ Determine the…

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Q: The numerical value of the lim 818 n+3 nln (2) n+1 is equal to

A: We use L'Hôpital's rule to solve the limit.

Q: 8 S[+ +6e² dx = +C

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Q: $(2xy - x²) dx + (x+y²)dy, where C is the enclosed curve of the region boundec. The value of by y=x²…

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Q: (a) Evaluate the following integrals: π cos(x) dx dy 4y

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Q: -2 What is the value of the definite integral e* dx? -4

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Q: R(t) = [(el-1, 1-², In (2-1) In(2-t)), (t,0, t - 1), if -1 < t <1 if t ≥ 1.

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Q: Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA.…

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Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

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Q: Simplify: 1 1 + csc(0) + cot(e) csc(0) - cot(e) A 2sin(e) B 2 sin(8) 2 sin(8)

A: 1csc(θ)+cot(θ)+1csc(θ)-cot(θ)=csc(θ)-cot(θ)+csc(θ)+cot(θ)csc(θ)+cot(θ)csc(θ)-cot(θ)

Q: Find the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration