Question 6 Use differentials to find the approximate value of y: (2x 1) when x = 0.98. O (E) None of the choices O 0.98 O 0.88 O 0.84 O 0.94

Q: Using Linear Approximation, determine the approximate value of the following: Final answers must be…

A: Topic:- application of derivatives

Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

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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: e2" (18 + 5t – 2) 6 + 5(s – 2)² – 2(s – 2)³ (8 – 2)ª 2 - (8 – 2)* (s – 2)² Option 2 Option 3 6 (s +…

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Q: Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x +…

A: This is marginal cost finding question.  We can find the marginal cost by differentiating the…

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

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Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1

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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: 4-P(1+) che model A=Pe or A=P|1+- ] ,where A is the future value of P dollars invested at nuously or…

A: we have to find the interest rate

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: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: dx 2. S Vx2-4x-7

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

A: Solved below.

Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: 4 2 6e"*+2dydx =? (a) 2 (e* – e?) (b) 2 (e10 – e°) (c) 2 (e16 – e?) (d) 2 (e2 – e?) (e) 2 (e64 – e?)

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Q: 2) w = 2yTan(2x + y) – 3xSec(x²y³) %3D

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Q: Find the horizontal and vertical asymptotes of the graph of each function. Do not sketch the graph.…

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Q: 18 C. Solve as indicated. 4. A car costs Php 800,000. Find its value after 4 years if it depreciates…

A: car cost Php 800000 value after 4 year = ? per year depreciate is 20% 800000*20/100 = 160000…

Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

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Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 1. (D² +…

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Q: Find the curvature of the curve 7(t) = (3 cos(t), 3 sin(t), 3t) at the point t %3D Give your answer…

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (22, 324, 13.54)…

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Q: (3t — х)е-2t | Given : v = Find ar2

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

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Q: dx J V1-4x2

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Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

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Q: 2x S dx 4e2x –8eª +5

A: Procedure is correct but there are few errors in some of the steps.

Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

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

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Q: 00 (n + 18)! Σ 18!n!18" n=1

A: We have to find out the convergent test

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

A: Let's find.

Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: Use the limit Compariso. Testidet- ermine whe ther the following serios is, convergent or…

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Q: Line 1: 3 1 — у - = Z – 8 2 - 4 Line 2: X=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

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

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y) Answer the…

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Q: -dx x2 +9 I x3 +ar-23 ton- (특) +C a. 3 b. 1 x³ t qx + 27 tam " ) + C b*3-9*+27€an )+c C. d.늘-9x- 2구…

A: Using substitution method, integration is done.

Q: Exercises Construction of Homogeneous Linear Equations Obtain the differential equations satisfied…

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: If f'(2) = 5 then [4f(x) – x³]x=2 %3D dx Select one: O 32 O 8 O 28 O 20 O none

A: Given f'(2)=5To find ddx[4fx-x3]x=2

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A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

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Q: Sin'e+ 3sine - 4

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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: Find the producers' surplus at a price level of p= $57 for the price-supply equation below. p= S(x)…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

Q: ArcTaпx — х 1) lim x→0 х3 Тапх

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