4. y 9x-x5+x %3D 5. f(x) = (x- 1)2(x+ 2)2

Q: 1– 2s F(s) = s² + 4s + 5

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Q: 1.What is the third derivative of y = 2x5 – 2x4 + 5x3 + 6? 2x – 2x + 5x? 40a O A. " = - O B. " 24x +…

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Q: 3. YA x=y² – 2 ソ=1 x= e' y=-1

A: Solution Question 3  Given,  The curves  x = y2 -2    and   x = ey We have to find the area of…

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: It is given that the total weight x of all output is y=0.06x+0.0006x2 where x and y are in pounds.…

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: Calculate ∂ω/∂x for ω=e^−2x x(multiplied by) e^(z^2y)

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Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: determine L−1[F].

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Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

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Q: In z dz z4 e

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Q: d. yı = X1 X3 X1 + X2 Ya = - X1 – 3x2 – 2x3 e. yı = x1 + 2x2 + X3 Y2 = Y2 = x1 + x2 Ya = X2 + X3.

A: d)  The map from R3 to R2 is onto.  e)   The map from R3 to R3 is not onto.

Q: A) xy' 2y + x'e*

A: These are all unrelated & lengthy problems. By Bartleby policy I have to solve only first one.

Q: [D] If y = 3x – 6x2, find the percentage error in y at x = 1 if error in x is 0.05.

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Q: 1. y" + 4y' + 4y e-2x x2

A: The given differential equation is: y''+4y'+4y=e-2xx2 Now the characteristic equation of the…

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

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Q: A.F.D.C. was intended to provide mothers with enough to get by — barely — while raising their…

A: Given: Average monthly amount received by a family of three in 1970 = $194 Annual Amount received by…

Q: 7. Given the profit function P(x) = 500x –- where 100 x is number of units sold. Find x to get…

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Q: If y=x* - 5x² + 2x – 3 then equals dx A x* - 5x² + 2 В 4x – 10x+ 2x – 34 4x - 10x+ 2x D 4x - 10x+ 2…

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Q: y" + 4y' + 3y = 15 e^2x + e^-x

A: Given differential equation is: y''+4y'+3y=15e2x+e-x Solution of differential equation is sum of…

Q: E -17 Sx-8 F. x-1<2 . x-10s-16 H. x+23 J. 4.4 <x-7.2 13 L. 4. 12 12 r+04 -08 시

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Q: S (x+Sy+wz ) dzoly dz 2 3x X-つ

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Q: The following are the prices of shares of XYZ Co. Ltd. from Monday Price Day Thursday Price 200 160…

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Q: ydy 1. S- V25-16у* xdx 2. S- 9+x 2 dz 3. S- 2 +6z+10 xdx 4. S- 9+x

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Q: In the function given. Evaluate the integrals.

A: Given:∫03 fx dx=2,∫36 fx dx=-5∫36 gx dx=1∫36 3 fx -gx dx=?

Q: | (1 – a*)dæ (1 — а?) а

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Q: Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x² and total revenue function given…

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Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

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Q: Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

A: Given: stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost…

Q: A species of butterflies is calculated to triple the size of its population every year. Which of the…

A: Current number of butterflies=1500

Q: 8) y = (x² + 3)ln 4x5 dy (x² + 3) · dx 2x² In 4x° + 5x² + 15 1 - 20x + In 4x³ · 2x 4x A) dy 2х + 1…

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Q: 1 S² = y e2y dy

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Q: 6. Differentiate: y x2 + 3x – 1 x²+1 -(x²+1) В. А. x²+3x-1 (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)2 D.…

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Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: 6) y = e *(x* – 5) dy A) dx 5x² 10x + 4x3 = 21(5e* + 2x²) dy 5x2 B) = e* · 10x · 4x³ + e³* · 10x ·…

A: Let h(x) = f(g(x)) for all x, then by chain rule   h'(x)=f'(g(x))g'(x)  Also if h(x)= u(x)v(x)  Then…

Q: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: 7. The second derivative of y = e3* + e4* is + 4e4x b. 9e3x + 16e4* а. 6e3x + 8e4x d. 9e9x + e16% C.

A: The given function is: y=e3x+e4x

Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D…

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Q: Find (5x - x²)e* dx O(x2 -5x)e-x-(2x - 5)e¯X – 2e-*+c O (5x-x2)e*- (5 – 2x)e* +2e* O (x2-5x)e*- (2x…

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Q: 2x+y-52 +l =. X-y+ 2-6= 0 4x+zy-32+8 =

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Q: dy Ify드a2-4x-의. then. dx x2 2x-2) 2-4x-5 einz2-4x-5)- In(z+2)]. x2-4x-5 x2 x2-4x-5 x 2 x 2 2-4x-5…

A: Consider the given equation:

Q: So Ve Pollowing the D.E 3X 3y' = e - \2 X +39

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Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: First find the revenue and the cost then find the profit function by subtracting the revenue with…

Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

Q: Does y =e9-x2-2 exist?

A: Given an equation, y=e9-x2-2. To check whether the equation exists or not. The value of e is…

Q: /25-22-y2 zVx² + y? + z² dz dy dr

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Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

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Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

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