I. If g(x) = Vx – 4 and h(x) = x³ + 4 , find (hog)(x) %3D

Q: Find the general antiderivative of 4 2 + x3 f(x) = x³ + 6/ | + C

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Q: Given y- 2y'+y= 10e* + x, select the most appropriate form of y, (trial function or particular…

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Q: Find e* + x-2 + C e* – 1+ C + C (1/2)x² e* – In |x| + C

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Q: Find the general cowtion of the die. y9) + ya) - 24 =-e (9+67x+17 x²) + (861nax - o cosex) „(2).…

A: The given differential equation is , y(3)+y(2)-2y = -e3x(9+67x+17x2) +…

Q: Find the elasticity: D(x)=335/(4x+5)2 A) E(x)8/4x+5 B) E(x) 2x/4x+5 C) E(x) 8x(4x+5) D) 8x/4x+5

A: To Determine: Find the elasticity:

Q: If y(t) is a function s e problem

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

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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: Show that f(x) = ln xn /x is a decreasing function for x > e and n > 0.

A: Given function is, But, Hence,

Q: If f(x) = x(e*+4æ) , then f'(x) = (A) (e + 4) In(x) + e+4x (B) (eª + 4) In(x) æ(e²+4æ) et+4x (C)…

A: Here we will find f'(x),

Q: [g(x )cx = 2 If then g(x )dx equals

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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: The regression function r(x) = E(Y|X = x) minimizes E(E((Y − r(X))^2)). Is this true or false?

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Q: Suppose leaf biomass L (kg) and root biomass R (kg) are related by  L=R^b x α Suppose two plants…

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Q: 2 Find the general antiderivative of f(x) = 5x* + 4 + C

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Q: (e) Yk+1 +Yk = 1/k(k+1),

A: Given, yk+1+yk=1kk+1Substitute:yk+1=y'yk=yEquation formed is:y'+y=1kk+1A first order separable ODE…

Q: The distribution of P(x,y) on a thin metal plate is given by ²P 2- dx2 = 0 ду? If we use a step size…

A: Given: Distribution of Px,y on a thin metal plate is, 2∂2P∂x2+∂2P∂y2=0 Step size: h=14, k=12   To…

Q: Consider the following optimisation problem max f(r, y) = t/r y, subject to tx? + y 0, y > 0. a)…

A: Given: max fx,y=txysubject to x2+ty≤5x≥0,y≥0 To find: a) t=1 b) Envelope theorem c) Marginal effect…

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: S (x+Sy+wz ) dzoly dz 2 3x X-つ

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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: .3 S(3 – e3*)²dx

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Q: The fuel-cost functions for the three thermal plants is $/h are given by C, = 400 + 5. 5P, + 0.006P…

A: The given constraint: 50≤P1≤15050≤P2≤20050≤P3≤300 Where P1, P2, P3 are the loads of the generator…

Q: 4". Sy' 8y Sx'e* y10)=8, y'l0).S X-

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Q: let y(1) = 1/e and xy'-y+y^2*e^x = 0   calculate the smallest of the values ​​of x in the y domain

A: Let us consider the Bernoulli equation y'+P(x)y=Q(x)yn To convert the  equation into standard form…

Q: Find the demand function x = f(p) that satisfies the initial conditions. dx 600 x = 15,000 when p =…

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Q: 4y" + 2y' + 5y = e=t y(0) = –1 y'(0) = 0

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Q: S(2 + e2*)³dx

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Q: The chain rule of antiderivative is stated as: ff (g' (x)) g(x) dx = F (g(x)) + C True O False

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Q: |z"e*dz =T(n+1) = n!

A: The gamma function is defined as ∫0∞tn-1e-tdt=τ(n)=n-1!           (1) the given integral is…

Q: Given that g(2)=5 and g'(2)=3, linearize g(x) near x=2 and use this linerization to approximate…

A: Consider the linearization formula for g(x) near x = a.

Q: Consider the following IVP: y' = e; y(0) = 2

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Q: Yk = A3k !(k +1)/ A3k k T°(k) I(k)' ary constant.

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Q: 1 S² = y e2y dy

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Q: [E (XY)P SE (X²) E (Y²)

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Q: The data below were collected by a chemical engineer. Y is filtration time, x_1 is temperature, and…

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Q: dx S is equal to e3x O 1/3 e^(-3x) + c O -1/3 e^(3x) + c O -1/3 e^(-3x) + C O 1/3 e^(3x) + c

A: To find: ∫dx e3x

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: I Findk the GS op the bE (x+3y)kk +(3x+g-) dy mo 50

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Q: S1 xe [0,1] f(x) 0 x¢ [0, 1]

A: The given piecewise function can also be represented as, fx=10≤x≤10otherwise Solve for the mean as,…

Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

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Q: 2x + 2. Find y' if e?* 3y = x² – In (xy³).

A: To find y' e2x+3y=x2-lnxy3

Q: f Lan 2X e *3 of +sec2X Pinel dy o

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Here we have to find the number of units x that produces the minimum average cost per unit C¯ in the…

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

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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: Now we can say the most general antiderivative of g(x) 8 - 3x° + 7x° is G(x) = 8 5x + 7 X. X + C.

A: Here we have to find the most general antiderivative of  g(x)=(8-3x3+7x6)/x6 .

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…