dx Vx²-4x-7 7. dy y2-8y+5

Q: 1. For each of the following, find where the curves intersect, draw a sketch of the region, and…

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Q: Consider the points A(2, – 1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations 3…

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

Q: Problem #7: (a) Solve the initial value problem (x - 1)y'- y = 16(x - 1), y(2) = 0 (b) Write the…

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Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x +y = 6…

A: Note: As per our guidelines we are restricted to solve only one problem. Please upload separately…

Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: Find term number 6 in the expansion of: (4x + 2)° . the coefficient for term number 6 = the variable…

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Q: 6. Sketch the vector lield diagrams of the following systems of differential equations in the (r,…

A: (a) vector field

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Given query is to find series converges or diverges.

Q: Evaluate (f-1) '(2) for the function f (x) = /x³ + x² + x + 1.

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Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

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Q: Find the Inverse Laplace of the following 6s – 4 s2 – 4s + 20 2e-24 cos 4t + 8e " sin4t Option 3…

A: Explanation of the answer is as follows

Q: sinocose-3 Sune =0

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Q: Evaluate the definite integral using integration by parts. Do not use any other met od You must show…

A: topic- integration by parts

Q: 2en cos 2t s+ 2 Option 2 None of the choices 2s s2 -2 s2 -2 O Option 5 Option 3 2s s2 +4

A: Given :2eln cos2t

Q: Use the method of cylindrical shells (do not use any other method) to find the volume of the solid…

A: Volume of solid bounded by y=f(x), x axis and  x=a to b is given by below:

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: h(x, y) = : x³ – 3x + 3xy? 2

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Q: _1. What is the integral that describes the enclosed region between y = 4x- x and the x- axis ? A.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Evaluate the double integral over the given region. |6x sin xy dA, R. 0 SxsA, 0sys1 R. O A. 6x 兀 OB.…

A: We will evaluate the double integral.

Q: 23л Find the exact value of sin 12 23л State the exact value of csc 12

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Q: Evaluate the integral by any method. NOTE: Enter the exact answer. dx 3+ x4 %3D

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Q: Given the serles Does this series converge or diverge? O diverges O converges If the series…

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Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r? + y…

A: Given

Q: a. V80.5 ; where: V81 = 3

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Q: VI. Determine all the relative minimum and maximum values, and saddle point/s (if any) of the…

A: Given,  h(x,y)=x3-3x+3xy2

Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

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Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: ans the space provided before each number. 1. What trigonometric ratio can we use to solve for the…

A: We have to solve above triangle problem

Q: Two lines have equations L1: (0,0,1) + s(1,-1,1), s e R and L,: (2,1,3) + (2, 1,0), e R. 10. What is…

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Q: 00 Write the Taylor series for f(x) = e* about x = Σ- 3)". 3 as n=0 Find the first five…

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Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: DEFINITION

A: We will find the Laplaces Transform.

Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

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Q: A right circular closed cylinder with radius r cm and height h cm is placed on a square block with…

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Q: Find the function h given h'(x) = ÷- + 2; h(1) = 0 3x x2+1

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Q: | (csc 0)(1 + sin? 0 + sin 0 cot? 0) d0

A: Integration can be done after simplifying up to the mark.

Q: By considering different paths of approach, show that the function below has no limit as (x,y) ->…

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Q: e ( +5t –2) 6. 5 (s – 2) (s - 2)² O Option 3 O None of the Choices 6 + 5(s – 2)² – 2(s - 2)° (s -…

A: To find the Laplace transform of f(t)=e2tt3+5t-2⇒f(t)=e2tt3+5e2tt-2e2t

Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

Q: Sunecose - Sune=0

A: The objective of the question is solve the given equation.

Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

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Q: S In(5 + Vr)dr

A: This question can be solved using the concept of integration by substitution and integration by…

Q: 6. S 2sin´x sin(2x) dx

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Q: Triangle BAC is a 30°°-60°°-90°° right triangle. В 600 300 A C If BC = 15, what is the measure of…

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Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2) -6 -4 -2 6 -6 -4 -2 4…

A: Given query is to plot the point and find the polar coordinates.