2) 1 V1-x² dx

Q: -5x+ y=-3 3x-8y 24

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Q: Find the partial fraction decomposition of 2 + 2x-8

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Q: Q6: Solve Nhe Complex equation a, z+z + Iti = 0 3 b. Z°+ z+ Z +1 = 0 where Z= x

A: Concept: Complex numbers: A complicated equation is one that requires the use of complex numbers to…

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: aplace Ul 1. f(t) = t 0 <t< 2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The equation below defines y implicitly as a function of x: 2x2 + xy = 3y2 Use the equation to…

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Q: Find the length of the curve defined by from = 9 to z = 10. 2 y-4lm (()²-1) =

A: find derivative

Q: Find d. dx (36x+4)

A: Find d/dx .

Q: 2. Find the equation of the normal line to the graph of y = x(1+ In x) at x = e. Write your answer…

A:

Q: s+1 1. F(s) = 2.F(s) = s4+s2 2 (s +2)'+n?n²

A:

Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.

Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: 1 dx x² +1 e +

A: solution:-∫02ex+1x2+1dx=∫02exdx+∫021x2+1dx=ex02+tan-1x02=e2-e0+tan-12-tan-10=e2-1+tan-12     Ans

Q: on f(x)--(x + 1)(x - 1)²(x - 3)²

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Find the area under the curve using intervals of 1 unit (X) each Integral - Area Under the Curve…

A: Reimann sum:Take the left point of sub-interval:∫16f(x) dx =∑i=1N f(xi*) ∆x∆x=1∫16f(x)…

Q: 3. (a) y(8) when y=cos 2x 2 (b) y(9) when y=3 cos t 3

A:

Q: Identify the type of quadric surface defined by the equation 0, 2 4 and find all x-, y-, and…

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Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: Answer the question in the space provided and in full details. Show ALL your steps and your…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01 )…

A: Differentiation need to be done appropriately.

Q: 2-]x³.e* dx 3- S x².cosx dx

A:

Q: Find all the second-order partial derivatives of the following function. 5 3 9 f(x.y) = x°y -x +y 7…

A: Given :f(x,y)=x5y3-x9+y7

Q: 1.6 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION

A:

Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: How many solutions does the follow equation have. Explain e* = 0

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Q: Hiws find the integral of the Pouction fix y1= over the region betwein the twe circles of rading 2…

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Q: 6. If y = x In 2x find y(3).

A:

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

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Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: y= v16-x -4 -2 2

A:

Q: TQ two values of x such that 2x 1. 12x x+41 .a x-1/3 ,x=1 .b x=2, x=-2 .c x-3, x=-3 .d X=-1, x=1

A:

Q: 5. Use the shell method to find the volume of an ellipsoid formed when that part of the ellipse x2 +…

A: Given

Q: Test the series for convergence or divergence. Use the Select v and evaluate: lim (Note: Use INF for…

A: To find whether given series is convergent or divergent.

Q: What is the difference between "countably infinite" and "uncountably infinite"?

A: We have to write the difference

Q: sinx find f"(0). 4. If A) = %3D C. a. e d.

A: Please refer to the image below

Q: 218x- 2y-z= 10 x-3z = -2 3-x+y-3z=-4 |

A: We will solve this system of equations algebraically.

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: Find the Laplace Transform of the following using the definition via integration: F(t) = 5 sin 3t

A: Lf(t)=∫0∞e-st f(t) dt          =∫0∞e-st 5 sin3t dtIntegration by parts;I=5 ∫0∞e-st sin3t dt…

Q: Find the first derivative of * An(In(In x)) 1 x In x (x In(In x)) In x In(In x) Option 2 Option 4 1…

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Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

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Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

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Q: Find the sum of the convergent series. Σ n(n + 2) W

A: First we rewrite the series and then find the sum.

Q: 1. Find dy for each of the following: dx d) y = e +x° +e° e) y = x° Inx 1) In(x + y) = e*-

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Q: In solving Time Rates Problem, it is important to substitute the given values only 13 after…

A: Given data: y= (1-x^3)^(1/2)

Q: Find the sum of the indefinite geometric series: 2()" e) None of these b) 3 O a.) O b.) OC) O d.) O…

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Q: 4. Find the maximum value of f (x) = In(x – In x) on the interval -sse. e

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Q: Use logarithmic differentiation to find dy/dx. y = Xx + 42 x > 0

A: