Question 1 Compute v31.6 approximately by use of differentials. O 1.995 O (E) None of the choices O 1.098 O 1.890 O 1.987

Q: dx 5x2 + 16

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Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: S 23x26 ++16 dx

A: Here we have to integrate the given Integral.

Q: Given the points A(-2, 3, 1), B(0, 0, 2), and C(-1, 5, -2) Express the vector v = (3,2,7) as a sum…

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Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: t2, -8 + 3t, g(t) = l(t -6)* + 2 cos (: -). – 6)? + 2 cos (-),

A: answer is in next step

Q: 2x e dx 4e2a –8e* +5 -

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Q: y 5| 3 2 -4 -2 -1F 4. 2.

A: We find the point where limit does not exist

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period:…

A: Sine function :  y= a sin(bx-c) ; where, 'a' is the amplitude and 'c' is the phase shift .…

Q: Jse the linear approximation to estimate AS = f(3.1) – f(3) for f(x) = T Use decimal notation. Give…

A: Here, the given function is: f(x)=31+x2⇒f'(x)=3-1(1+x2)2(2x)=-6x(1+x2)2

Q: (D6 + 6D4 + 9D²)y = 0

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Q: I. Evaluate each of the following iterated integrals. clnx 2.

A: The objective is to evaluate the interated integral.

Q: 3 By using and only using function composition, show that the following function is its own inverse.…

A: The objective is to use function composition to so that the function is its own inverse.

Q: Integrate 7 dx , 1+ Vx+1 3

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Q: he Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 Ciuo Hooim

A: Here we have to use linear approximation rule.

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: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

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Q: In each part, evaluate the integral, given that SIx - 61, x 2 0 f(x) : x + 6, x < 0 ' %3D

A: The solution is given in the next steps.

Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Determine dydx of function g 1 g(x, y) = cos (Tx ) + log3 (x – y)

A: We will use simple differentiation rules to solve this question.

Q: Find the point-normal form equation of the plane containing the point (1, -3, 5) and the line with…

A: Solution: P(1 , -3 , 5) (2 - x ) = (y+1)/2 = -z/3 = t

Q: 5. Find the solution of the following initial value problems. F'(u) = 4cosu – 3, F(0) = 4

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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: 1-x2 So Si S dz dy dx 0. 0.

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Q: (-) Suppose the following expression gives us how much a certain investment accou worths after some…

A: Topic-:- compund interest

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: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x² and…

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Q: (1) Evaluate the double integral and sketch the graph. 1/4 4 r2 sin 0 cos 0 dr d0

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

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Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

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Q: Evaluate S.(x + y)dxdy by reversing the order of integration.

A: answer is in next step

Q: Зх-7 dx 10x2+3x+11

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Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. U. u.) 4

A: Let's find.

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

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Q: S e6m sin m dm Integration by Parts

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Q: Sin'e+ 3sine - 4

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Q: 2) lim- x) Tanx

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

Q: Find the Laplace Transform of the functions 1. e-2t (cos t + 3 sin t)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 3. S: 7 dy у2-8y+5

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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: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 10x3…

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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: 6s – 4 s2 – 4s + 20

A: 6s-4s2-4s+20=6s-4s2-4s+4+16=6s-12+8s-22+16=6(s-2)+8s-22+16=6·(s-2)s-22+(4)2+8·1s-22+16

Q: Assuming that the function f(x) = 3x + r³ +2 is one to one, find f(2).

A:

Q: lim Vxe 2

A: Given query is to find limit of the expression.

Q: Describe all absolute extreme points of P. Select the correct choice below and, if necessary, fill…

A: Let's find.

Q: dx Vx²-4x-7 7. dy y2-8y+5

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Q: the

A: We have to choose the correct option from the given options according to the given information