X-1 4 = = 2 – y = z 2 y-2 z-1 12 = x = -1, 3 2 Show that these are skew lines.

Q: a²z B. For each of the following functions z, find z ²z əxəy and əx²' @yəx'axây' 1. z = 2x2 – 5xy +…

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Q: 2+ In² 1 dx. 4. Evaluate the integral x – x ln x (a) 3 ln |In r – 1| + 2(ln x – 1) + (In x – 1)2 +C…

A: To find out the integration.

Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

Q: iSy dx dy 3.

A:

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A:

Q: 1 1. lim x-0+x e*

A: Given: limx→0+1x-1ex-1   So, simply we can write as; limx→0+1x-1ex-1=limx→0+ex-1-xxex-1

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: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

A:

Q: S 23x26 ++16 dx

A: Here we have to integrate the given Integral.

Q: Change the following polar equations to rec 6. 12. r = 4-cose

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Q: 2. Which of the following is a valid trigonometric substitution? (a) If an integral contains 9- 4r2,…

A: Here, to find the valid trigonometric substitution.

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

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Q: Solve

A:

Q: 2. Evaluate the given line integral, (x – y, y) · dR, where C is the line segment from (0, 1) to…

A:

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: Find the area of the region which is inside the circle r = 2 and outside the cardioid r = 2(1-cos+).…

A: Given

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

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Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: Give me an example of Properties of Definite Integral.

A: We have to give an example of definite integral using property

Q: A tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

A:

Q: 2. (D² + 4)y = 5e* - 4x

A:

Q: 27. f(1) = 1 + e*i 28. f(1) = r² - e- + 5 29. f(1) = (1 + e²)2 30. f(1) = (e' – e¯)? 31. f(1) = 41²…

A:

Q: 1 f(x) 1+x 1 f(x) 1- x 2 f(x) 3 — х x² f(x) x* + 16

A: Given that the series the  To find the Power series

Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

A:

Q: x = 2 + 5 cos t Consider the parametric equations for 0<t<r. y = 8 sin t (a) Eliminate the parameter…

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Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: .What is the limit of the sequence an = [(n2 - 1)/(n2 + 1)]n

A:

Q: y=v16-x 2.

A: This question is based on application of integration.

Q: Solve the given initial-value problem y' + (tan.x)y = cos²x, y(0) = -1

A:

Q: dx Vx²-4x-7

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

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

A:

Q: 1. Evaluate the integral (22 4т + 4)4/3 da. 3 (a) 1(x+2)1/3 +C 11 (b) (r+2)1/3 + C 3 3 (c) 교 -(x-…

A:

Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A: we have the following antiderivative formulas∫cosx dx=sinx+C∫secx tanx dx=secx+C∫sinx…

Q: L. Find the point/s of intersection of each of the following figures given below, draw the element…

A: Given: Now find the point of intersection between the curve y=x2+2 and the line x=2. y=x2+2 ;…

Q: (-3)"r" ice of the power series Vn +1 n=1

A: Series

Q: x-1 lim エ→1VX -1

A:

Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

A: As per guidelines of Bartleby I am supposed to answer only first three parts of this question. If…

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

A:

Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. J 9x2+36dx 1 S- x In…

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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 edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A:

Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: 4. Let z = x2+y, x 2st, y = s - t2, s = u", and t = usin w. Compute for

A: To find the partial derivatives using chain rule

Q: EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the…

A: Since you have posted multiple questions with multiparts. As per guidelines we"ll solve only first…

Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…