whether the internal is convergent on Determine divergent Evaluate it convergent. 1 dx 3-SX

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = S dx (x - 1)². (x…

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Q: Below is the graph of y= log₂ x. Translate it to become the graph of y= log₂ (x+2)+4. X -6 -4 -2 2 ?

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Q: 3 -6 -4 -3 4 Let y = J. ,Vi= 1₁ 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A: Given y=3-6-35   , v1=-1-44-1  , v2=0220

Q: // لاح - لا - لا -4

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Q: Using Gauss Jordon elimination, determine the intersection, if any of the following sets of planes…

A: We have to use Gauss Jordan elimination

Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

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Q: 6. Expand the binomial expression (3x-2)', then simplify.

A: Topic = Algebra

Q: 24) Find dy /dx for the following functions : a) y². cotx= [sin(x,y)]-¹ b) y = (lnx + x) tan x

A: Given: a)y2·cotx=sinxy-1b)y=lnx+xtanx

Q: 5 (x+4)³ For the function f(x) = exist, enter Ø as your answer. X -4.1 -4.01 -4.001 -4.0001 -4.00001…

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Q: hand written plz 6. Find the general solution of the PDE. The solution u is a function of x and y.…

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Q: Q5. Solve: = y² (1+x²), y(0) = 1.

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Q: Find the second derívate of x Fx=-8/square root of 3x+6

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Q: Find a point on y = x closest to (18,0) For what x is the slope of the tangent line at x to the…

A: Given

Q: Find the mass of a wire in the shape of helix_r(t)= cos ëti+sinät j+8tk, 0≤t≤1, where the density of…

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Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: Evaluate exactly lim (1 + sinx)²cotx x→0

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

Q: 5) Find 16 (ja) 1 & 2 (Geja)) 3 G = 3+3D 1+2D For

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Q: Question 7 of 12, Step 1 of 1 Solve the differential equation given below. Answer y = JUN 14 esc ck…

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Q: For the following equation, find x. 2 log bx= log9+ log125-log 15 (Type an integer or a simplified…

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Q: Show that the following are binary operations on the specified sets. 1. Addition, subtraction, and…

A: Binary operation is the operation which is performed on two elements of a set X and the result is…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: (i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the…

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Q: Find the arclength of a parametric curve given below for 0 ≤ t ≤ π (x(t) = 3 cos t (y(t) = 3 sin t

A: Find the arc length of given parametric curve

Q: Find the value of the following derivation y = x ln x sin x

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Q: Solve 5^(x-3)=2^(6x-8)

A: Topic = Algebra

Q: Estimate [²₁3 13 cos(x²) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4.…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2 Y 08 0.6 0.4 0.2 10 20 X At least…

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Q: Find the exact length of the curve. 36y² = (x²-4)³, 5≤x≤9, y 20

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: 22. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: Find the area of the region bounded by the parabola y = x2, the tangent line to the parabola at the…

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Q: Find the area of the region enclosed by the curves y=x²-7 and y=9. The area of the region enclosed…

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Q: The graph of y g'(x) is shown below. graph of g'(x) + (a) Give the x-coordinates of the critical…

A: We have to find critic point of the function and we have to check weather the function is local…

Q: 4. For the relation explain the transformations, y-intercept, asymptote, domain/range, show at least…

A: The given function is y=2-x+2-1 ............................................. (1)

Q: 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x³+3x²-18x be…

A: Given :f(x)=x-3x3+3x2-18x

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

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Q: Solve the initial value problem. 1. y'=4xe2x²cosx - ytan x, where y(0)=1

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Q: Q6) Find the Area bounded by the curves y = √√x and x = 2y-y² ,with sketch.

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Q: find the limit lim x->6 -1/(x-6)^2

A: Solution

Q: %VIII. १:०. By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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Q: For a plane with a normal of n = [1, 2, - 9]   and containing a point P (3, -4, 0), write the…

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Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

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Q: True or False: 6. If the limit exists at x = a then the function is continuous at x = a. 7. A…

A: This question can be solved using the concept of limit, continuity and differentiability.

Q: The count in a bacteria culture was 200 after 10 minutes and 1700 after 30 minutes. Assuming the…

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y =S₁ dx (x-1)².…

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