p dq , for demand q and price p. Find the general equation q = f(p) where E = 3. (Hint: Set the elasticity function equal to dp p dq Write the constant of integratio- dp The elasticity of demand function is E = - In C.) q= (Type an exact answer.)

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: The given question has been solved in detail Absolute Maximum value is 8 Absolute Minimum value is 2...

Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

A:

Q: dx Evaluate xV x2 - 4 브4 프2 0 8 O O

A:

Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: Find fo g, g o f, and g o g. f(x) = 2x, g(x) = x4 %3D (a) fog (b) gof (c) gog

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Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, Y...

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Q: V9 – x2 Let R be the region bounded by the curves Consider the function f(x) = 3 y = f(x) and y = 0 ...

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Q: (2.13) Compute Lp(t), where P is the regular tetrahedron with vertices (0,0,0), (1,1,0), (1,0,1), (0...

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Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

A:

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

A:

Q: 6. Find the derivatives of the following functions/curves: a) sin(y?) + cos(x²) = xy 1 — 2х | b) f(г...

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: We will use the following concepts       

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18 [I...

A:

Q: 3-1 4. The value of the indeterminate form from lim is 1 4r2 - I- 3 (a) 0 (b) 00 (c) 1 (d)

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Q: 1 dx Evaluate -1 x2 O 2 O -2 O O

A:

Q: Which of the following graphs show a removable discontinuity. (Select all that apply)

A: For removable discontinuity,   limx→af(x)  exists but f(a) not defined. For non removable discontuit...

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

A:

Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

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Q: . Set up the integral with represents the area of the surface z = xy that lies inside of %3D the ell...

A:

Q: Suppose the distance between w and -3 is greater than 5. (a) Enter a compound inequality, not involv...

A: This question can be solved by the concept of number line.

Q: Set up (do not solvel) the volume of the solid whose base is bounded by y = x, y = 0 and x = 1. with...

A: We need to set up integral.

Q: 2m-1 Σ m=1 (2) (m!) (m+x+1) How did he get the value inside the circle, can you explain step by step...

A: Jv(x) = ∑m=0∞ -1m . x2m+v22m+v .m! (m+v)!

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep saf...

A:

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: 4 4e | f(z) = as x approaches 0 using the table of values? !! I. II. -1 -0.5 -2 -0.1 -1.5 -0.01 -1.1...

A: To find the limit at x tends to zero. We need to find limit near to the value x=0 There are four opt...

Q: Evaluate /| F - d5 , where F = and S is the helicoid with vector equation r(u, v) 0 < u < 4, 0 < v...

A:

Q: 3 x lies in the third quadrant, find the values of other five If cos x = - 5' trigonometric function...

A: In third quadrant tangent and cotangent are positive.

Q: (a) Solve the following: 1 (i) 2-6: 8

A:

Q: Solve the differential equation with appropriate method. Express final answer free of fractions and ...

A:

Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: In the taylor's expansion when a=0 , then it is called maclarian expansion.    

Q: The function g is related to one of the parent functions described in an earlier section. g(x) = x2 ...

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your answer...

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Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: S Зх — 5 Given: (3х- 1)(х - 3) Find: u 3x2 - 10х+3 Ох-3 3x2 +3 О Зх-1 O O

A: Topic = Integration

Q: 4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimate...

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Q: Let S be the plane defined by 5x-Sy+10z 0, and let T be the plane defined by 2x-2y+5z=-2. Find the v...

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 48 m/s reac...

A: According to guidelines we can solve only first 3 subpart. Please repost next parts.

Q: dx Evaluate * (1-2x)² (1–2x)² O 1 1 2 O-1 o 1 2

A:

Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

Q: Example Find the domain and range of the following functions : x +7 if - 35x<5 [2-x if 0 <x<2 x - 1 ...

A: (i) f(x)=2-xif 0&lt;x&lt;2x-1if  3≤x&lt;4(ii) f(x)=x+7 if  -3≤x&lt;5x2if   5≤x&lt;76-2xif   x≥7

Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: Evaluate the integral dx |V7 + V3x -In 3 V2 - V3VX +C 1 -In V3x + V2 V2 +C 2/2 O In(2 V x³ - 3x Vx)+...

A:

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

A: Let's find. 

Q: Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª)...

A: We can evalaute the integration as follows:-

Q: || x? zdS, where S is the part of the plane z = 1 + 4x + 3y above the S. Evaluate rectangle [0, 3] x...

A: