QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: Show necessary computation x²-9y? lim (x,y)→(1,0) tan-1 (x4 – 4xy + y²) lim (х,у)-(0,0) х-Зу b. а.…

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Q: In n Consider the series Verify that the hypotheses of the Integral Test hold, and n2 n=1 use the…

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Q: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

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Q: 1- x dx 3.

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Q: dy x- +9- tan-1x = 0 dx

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Q: A particle is moving with acceleration given by the function a(t) = sin t - 3t. Find the position…

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Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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Q: +C, vnere B 1s parallel to the vector (1, 2) C is perpendicular

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Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: 8/16/22, 140 PM The Sine & Cosine Laws State whether the given measurements determine zero, one, or…

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Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: give me an example of properties of definite integral

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Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 3s2+5s+1 (d) 3…

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Q: y =, x = 1, x = 4, and y = 0 is revolved about the y – axis.

A: Let's find.

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A: We have to find binomial expansion.

Q: Let N1 (h) be the approximation of f'(xo) with some numerical differentiation scheme depending on h.…

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Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Concept: The Trapezoidal Rule: Consider the continuous function f(x) on the interval [a, b]. Divide…

Q: Determine the local maximum and minimum values and the saddle points of the function: f(x,y)…

A: Given, f(x,y) = y3 + 3x2y - 6x2 - 6y2 + 2

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A: Linear approximation is an approximation of a function with the help of a linear function.  Suppose…

Q: 13. Use a polar integral to find the area of the region defined by - Cos 0 KA<T

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Q: 7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the…

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Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: 4. Evaluate the integral 2+ In? x -dx. x – x ln x (a) 3 ln |In a – 1| + 2(ln r – 1) + (In a – 1)2 +…

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Q: a²z B. For each of the following functions z, find azz and ду? a2z дx? дудх' дхду' 1. z %3D2x? — 5ху…

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Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: 13. Identify the polar coordinates of the point with the given rectangular (-6, - 63) 47 6, 3 7T 6,…

A: Given rectangular coordinates are (-6,-63) which is (x,y)We know that polar coordinates are in the…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: If the tangent line to y f(x) at the point (1,2), passes through the point (-1,1), then f'(1) = %3D…

A: Find f'(1)

Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

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Q: 2s-9 d. s2 +2

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Q: 2* lim x→0 x²

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Q: Evaluate the integral. 1/2 | [6 cos ti-3 sin tj+ sin 3t k] dt 1/2 | (6 cos ti- 3 sin tj+ sin? 3t k]…

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Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: We need to determine if the particles collide or not.

Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: The limit im (x - cn -) lim (x· cos x-00 is an indeterminate form of type 0 · ∞. Select one: True O…

A: Here, the given expression is: limx→∞x cos 1x

Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

Q: For the following exercises, evaluate the integral. S(wew + w²ew*)dw 5.

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Q: What is the first term of the Maclaurin expansion of y = 8 e -0.5t cos t?

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Q: You weigh out a diamond and get 10.0 grams on your scale, knowing this is a rounded result. Between…

A: We have to find 2 weights, between them weight of the actual diamond found.

Q: 7 In the interval T, 27|the equation sin x = 8 (a) has no solutions (b) has one (and only one)…

A: Solution of (sinx)^2 = 7/8.

Q: Test the given geometric series for convergence or divergence. If it converges, find its sum. 4 16…

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: The radius of a circle is found to be 7 cm in length with a possible error of no more than 0.04 cm.…

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Q: Find the set of all values of x at which the line 3x-y+k= 0 is a tangent line to the -3 curve f (x)=…

A: We need to choose correct option.

Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: , can you draw the graphs clearer? or maybe in digital?

A: Given problem:- Draw the figure which represents area bounded by given curves 1) y= x2+2 , x=2 and…