Sketch the region of integration and change the order of integration. (x, y) dy dx f(x, y) dx dy

Q: 4x 1.2) lim X4 yx-2

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Q: Evaluate f 6xy da where Dis the region shown below. y=-

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Q: Find the directional derivative OF the Function in the divection U = Cos e it Sin e i OF the unit ve...

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Q: The revenue function Rin terms of the number of units sold, a, is given as R= 250z – 0.32? where Ris...

A: topic - functions and application of derivatives

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Area of circle is πr2 and area of equilateral triangle is √3/4a2  

Q: solve the following second-order differential equation. Make sure your solution set does not repeat ...

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Q: Find the Laplace transform of the function ( 3, 0<t<5 ( 0, st<0 f(t) NOTE: Express the answer in ter...

A: Laplace transform

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

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Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

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Q: Determine if the given function is continuous at -1. * x < -3 - 3<x<-1 x + 7 |x – 2| f(x) = { x2 – 2...

A: determine if the function is continuous or not. type continuous if the function is continuous at a c...

Q: 23t2 – 4e2t

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Q: 4. (a) Given the points (1,4), (2, 4), (3, 5) and (4, 5). Find the equation of the straight line y =...

A: Please see the below picture for detailed solution. 

Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)...

A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if f'x=06x1+2x2-4x3x21+2x22=06x1+...

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: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

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Q: Evaluate the integral. sin (10x) cos?(10x) dx =| +C NOTE: Enter the exact answer.

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Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: Apply integration by parts: / udv = uv – - S vdu = UV sin2x – cos2x dx sin2x + cos2x

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Q: = 2.4 · x and g(x) 6. x2 and h(x) = - 1.1 · a°. Without evaluating, determine the sign of each of th...

A: The given question has been solved in detail. 

Q: Using diliferentials, determine the appropriate O a. 47.1 cm3 Ob.314.2 cm3 OC 15.7 cm3 O d. 539.5 cm

A: Given query is to find the the change in the volume of sphere.

Q: y 2 y = sec? x y = sin(4x) → X T/8

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

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Q: dx 2V x3 - 3x x

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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: *tan(e-x) Given: et Find: du e*dx O -e*dx O -e-*dx e-*dx

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Q: (x + 7 |x – 2| x² – 2x x<-3 - 3<x<-1 f(x) = -1<x<3 2х — 3 3<x

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Q: 2 cos(За? + 5) + [62? + 2] (а) lim За2 + 5 0)2

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Q: Consider the region bounded by the graphs of y=In x, x=1, and y=1. Which of the following integrals ...

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Q: Calculate the area of the figure given by the law of the mean of two bases 15 :8 13 10 11 8. 8 8. 8.

A: Area of trapezium =12(sum of two parallel sides)×heightArea of triangle=12×base×heightArea of figure...

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: We will use the following concepts:-

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A: topic - present value 1year =52 weeks

Q: The n-th term in a sequence an is given by an = 3-eol (a) Is this sequence increasing, decreasing or...

A: Given:           an = 3-e-3n (a) Here:      a1 = 3-e-3(1) =3-e-3        a2 = 3-e-3(2) =3-e-6       a...

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

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Q: dx Evaluate 1 x2 O -00 O -2 O 2

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Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how man...

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Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

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Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: 3. y = x³ – 3x² + 2x – 6 ACTIVITY 1. Find the deriva 1. f(x) = -2 2. g(x) = 4x3 %3D 2 %3D -

A: Solution:As per our guidelines we are supposed to answer only three questions. Here  f(x)=-2

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 8 for f(x) = In(x + 1). T2(x) = In ...

A: Please see the below picture for detailed solution. 

Q: The weekly sales of Honolulu Red Oranges is given by q = 1008 – 18p. Calculate the price elasticity ...

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Q: Calculate the iterated integral. 36(u – v)³ du dv

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Q: The area of a circular sunspot is growing at a rate of 700 km2/sec. (a) How fast is the radius growi...

A: Question:The area of a circular sunspot is giving at a rate of 700 sq.km/sec  a) how fast is the rad...

Q: 6. The total cost, C, in thousands of dollars, of producing x number of water tanks can be modelled ...

A: We have to find the marginal cost and domain.

Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x 1

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Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given:    Function is given  

Q: Describe data in terms of variability, association, and relative standing.

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0. ...

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second co...

Q: Determine if the given function is continuous at -3. * (x + 7 x< -3 |x – 2|| f(x) = { x² – 2x 9x - 3...

A: Topic:- limit and continuity

Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

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