EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

Q: Give what is being asked. + g(x)|dæ, if g(x)dæ = 3? What is the value of 3

A: The integral is  ∫06 13+g(x)dx and ∫06 g(x)dx=3

Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

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Q: Question 3: Evaluate the following limits, if they exist, by using the graph 3 -4 -3 -2 -1 3 -1 -2 -...

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Q: Given the differential equation, its particular solution, and its wronskian –7x y" + 2y' - 35y = 4 e...

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Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity

Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: Consider the following image. 10 -10 -5 10

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

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Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 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: 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: Use tables to evaluate the integrals. You may need to complete the square or change variables to put...

A: Topic:- integration

Q: Create a double integral that can be used to find the volume V of the solid that lies under the hype...

A: Here, to find the volume: V=∫-11∫15-x2+3y2+3dy dx

Q: Suppose Bilbo Baggins is deciding on whether to buy a sword or a bag of golden cups. If he has a uti...

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Q: A population numbers 20,000 organisms initially and grows by 15.1% each year. Suppose P represents p...

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Q: Find the area of the region enclosed by the curves  f (x)  =  4x + 15 and g(x)  =  2x + 33, and the ...

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Q: zV1 - (a – 1)}'da = a;+ :) a+b? What is

A: Given,             ∫12x1-x-12dx=a1b+πcTo find : What is a+bc.

Q: Given the General Solution y = ke-0.08x2 Find the value of "k" given the condition (-3, 580). A) k =...

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Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

A: According to Bartleby's guidelines, We are allowed to solve only 1 question at a time. So, here's th...

Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: ekt kdt, where k is constant k A True B) False

A: B) False   

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: A cola vending company estimates that their cola will be consumed by people at a rate given by: C ′...

A: Topic = Algebra

Q: For the function ?(?) = 1/4e^x+e^-x 1. Set up the integral for the length of the curve segment along...

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Q: A farmer has 800 meters of fencing material to enclose a rectangular pen adjacent to a long existing...

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Q: Use appropriate Lagrange interpolating polynomia for the following table and approximate f(1.5) Xi 0...

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Q: Felow are the polar coordinates. Find the Cartesian Coordinates. 5, 2

A: Topic:- coordinate system

Q: Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00...

A: Using the Taylor Remainder theorem, the value of x is |x| ≤ 0.861

Q: Function f(x, y) = 7x – 8y + 2xy – x² + y° -

A: we need to find the extreme points of f(x,y)=7x-8y+2xy-x2+y3  

Q: dy - y = xy2 dx

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Q: Approximate the integral to three decimal places using the indicated rule. 308 -dx; trapezoidal rule...

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Q: Let f(x) = V19 + x

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Q: . If f = In(x² + y² + y³ ) then find the divergence of falso find its magnitude at 2 3)

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Q: 'x + 7 |x – 2| f(x) = { x² – 2x x 3 9x 2х — 3

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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

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Q: S10ze² +!dz= Select one: O z'e*+1+c O 5e²+1 +c O 4re" +1 + c O 6e +1+ c O None of the other choices.

A: Integrate 10xex2+1 w.r.t. x 

Q: In each of Problems 1 through 5, determine the canonical form of the eliptic equation. 1. Uzz + 2uzy...

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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: 2.1x + 11.1 if r – 1 if z = – 1 Determine which one of the following rules for continuity is violat...

A: Given query is to find the rule whic is violated.

Q: Find the limits of the functions below a) lim,-3 2x3 sin a b) lim

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Q: 1. For the integral x³ + 8 dx a. Use the Simpson's Rule with n = 4 to approximate the value of the i...

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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: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

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Q: Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or ...

A: This question can be solved using application of integrals to find area under curves.

Q: Question 2: Differentiate the functions by using product or quotiem a) f(x) = (2 – 3x²) · e* %3D Зx+...

A: f(x)=(2-3x2)*ex=ddx(2-3x2)*exWe know that (uv)'=u'v+v'u=ddx(2-3x2)*ex+(2-3x2)*ddx(ex)=(0-3*2x)ex+(2-...

Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: Find all the first partial derivatives of; glw,2, y, z) = xe2w - wyz?

A: Topic:- partial derivatives

Q: y Sales of Version 4.0 of a computer software package start out high and decrease exponentially. At ...

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