K For the given function f(x) and the given values of cand e > 0, find L= lim f(x). X-C Then determine the largest value for 8>0 such that 0

Q: efine the function f(x) = 3x + x 8x at 0 so as to make it continuous at 0.

A: Given function f(x)=3x3+x8x. Clearly it is not continuous as x=0

Q: + COE 201 Assignment No. 1 I. Answer the following questions in a ½ crosswise yellow paper. For each…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: Find the limit. lim x →→∞ - 9x² - 8 8x² +3

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Q: Use the graph of the function to state the value of lim f(x), if it exists. x-0 f(x) = x² + x 3√x³ +…

A: To find out that the limit of the given function at x=0 exist or not.

Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: If 4x − 1 ≤ f(x) ≤ x² − 1, find lim f(x). x-4

A: Limit

Q: Evaluate 6x³ sin² (x¹) dx

A: Concept: The sum of the discrete data is indicated by the integration The area, displacement, and…

Q: You are given that lim f(x) = −5, lim g(x) = 5, and lim h(x) = 4. x→a x→a x→a Find the limit lim [h²…

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Q: 4

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Q: ph are given. y 2 -4 -6 2 4 X

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Q: Ja 3 JU 3. If B = f(x)-2g(x), then B'(0) = ?

A: Given, B=f(x)-2g(x)

Q: 94. S 1/2dt sint 1+t² 38 WO (Hint: sin(-t) = -sin(t))

A:

Q: Find and sketch the domain of f(x, y) = 3√2 sin[(x² + y²)] − 1 + ln[ln y].

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x+ 2 2x + [2x] x²+x-2

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Q: Wages and Salaries Calculate the weekly wage of the following employees given their annual salaries.…

A: NOTE: Refresh your page if you can't see any equations. . to convert the annual salary into a weekly…

Q: Textbook) The diagrams below are not necessarily drawn to scale. For each pair of triangles:…

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Q: and the 1st derivative of x³ + y³ - 6xy = 0

A: Topic: - application of derivatives

Q: Find_lim (3x³ + √9x6 − 2x³ ) x118

A: If x → ∞ then y → 0 if x=1/y

Q: Question Evaluate 2x²y³ when x = 1 3 and y 1 4

A: Topic =Algebra

Q: DIRECTIONS: Write down a differential equation of the form dy/dt =ay +b whose solutions have the…

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Q: 6. Sketch and label the graph of a function that describes the given situation. Pick variables for…

A: a. In this case, the population size of warthogs cannot go above 512 warthogs, so, the given…

Q: (4-x-x² if x ≤ 3 if x > 3 2x-9 Calculate the following limits. Enter "DNE" if the limit does not…

A: We have to find the limit.

Q: Let f(x) = = 52 – 3 if a 4 - -6x+b if x > 4 If f(x) is a function which is continuous everywhere,…

A:

Q: . Find the solution of the DE y' a. 2xy + Iny = c b. -2 /y-2lny = c c. 2xy + 2lny = k d. -2y+lny = c…

A: The given differential equation is; y'=y/[x+sqrt(xy)].

Q: Find the homogenous liner equation  y = x2sinx + e5x

A: Given, y=x2sin x+e5x

Q: 3.2 ff (u x + y)² dx dy Ő

A: When integrating with one variable the other variable is treated as a constant. When the limits of…

Q: B) Find the area of the region between the curves x = quardrant. = y² and x = y + 2 in the first

A: The given curves are x=y2 and x=y+2.   Now find the points of intersection between the given curve.…

Q: For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a…

A: Let's find value of L.

Q: Y = (x+C) e-x FIND D.E.

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Q: (dy/dx) + 2y = sin2x First-class homogeneous DE Second degree homogeneous O DE second order DE…

A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

Q: If z is a differentiable function of x and y satisfying the equation sin(x²z+ny²) + 2x³ = yz² + 2,…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 100

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve the problem. The cost of manufacturing a particular videotape is c(x) = 10,000+ 12x, where x…

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Q: Find where y is defined as a function of x implicitly by the equation below. y³ + 2x²y5 = 1 O Select…

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Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x-2 Determine if…

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Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

A:

Q: 4. If the line normal to the graph of f at the point (1,2) passes through the point (-1,1), then…

A: From given two points we can find the slope of normal

Q: 201 559 You are allowed to use a graphing calculator for #5 Which of the following is an equation of…

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Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: aluate ㅠ - π 2 cos² (9x) dx.

A: Remember :  cos(2x)=2cos2x-1⇒cos2x=1+cos(2x)2 we have to find  ∫-ππcos2(9x)dx

Q: 3 5 -2 4

A: We have given a matrix  Let,  A=35-24 determinant of A is given as  A=3×4--2×5=12+10 A=22 Cofactor…

Q: Evaluate_lim_ (√√9x² − 5x +1 + 3x 3x). -

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Q: Exponential and Log Derivatives "hat is the slope of the line tangent to the graph of y = 2 In(x) at…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Σ n = 1…

A: as per company guidelines we solve only first question when multiple question being posted

Q: Under High order linear differential equations Solve: y""+y" = ex cos x

A: Here, the given DE is: y'''+y''=excos x So, the auxiliary equation is: m3+m2=0⇒m2(m+1)=0⇒m=0,0,-1…

Q: 9-20 Compute the differential dz or dw of the function. -1 13. z = tan xy

A: To compute dz of the following function: z=tan-1xy

Q: x4+5x+6 x-2x4+5x-6 lim

A: The given limit is a divergent and it does not exists

Q: Decompose 4 x³ + x²

A:

Q: Directions: Solve each system of linear equations in two variables. Use your answer to navigate…

A: Solve the given system of linear equation in two variables by the method of substitution or method…