2 1 x^²({( ²² - ² - ) } L 3 S S

Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: Q1: Find the general solution to the following differential equation: y"-2y'+y=x²-1

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Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

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Q: Solve using method of undetermined coefficients: 2y" + 3y - 2y = 14x² - 4x - 11, y(0) = 0, y'(0) =…

A:

Q: Given f(x) = sech (x) and below is the graph. Determine the domain and range for f(x). f -1 ii)…

A: Pu

Q: Question Find the average value of f(x) = - over the interval [0, 2]. Submit an exact answer using…

A: The objective is to find the average value of f(x).

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: How much did Speedy Movers borrow for a debt that accumulated to $51,034.26 in four years? The…

A: Given, Amount(A)= $ 51034.26 t= 4 years r= 3.25%= 0.0325 n= 2(semi-anually)

Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

A:

Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

A:

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: A) 0 B) 3 (C) 2 (D) 4 E 5 F) 1 Use polynomial long division to write 2x² + x³ 3x² + 4x-9 x² + x =…

A:

Q: Use point-slope form to find the equation of a line that contains the points (100, -40) and (20,…

A: Given, (x1,y1)= (100,-40) (x2,y2)= (20,-5)

Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

A:

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

A:

Q: y 3. The region bounded by the curve y=sec x, the x axis, the axis and the line x=0.25pi is revolved…

A: The given curves are; y=secx, y=0 x-axis, x=0 y-axis, x=0.25π So, the bounded region is as shown…

Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: Given

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

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Q: Find the tangent line(s) to the parametric curve given by z = t¹ - 9t² and y = t² at (0, 9).

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Q: 5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and…

A: I am attaching image so that you understand each and every step.

Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin(2x - 6) sin(4x - 12)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: y"-y-4e-x+3e2x; y(0) - 0.y(0) --1.y"(0)-2

A:

Q: b) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an…

A: The object is to write an equation that represents the total cost.

Q: Shaw that is the function defined by xy f(x, y) = √x² + y² if O differentiable at not derivatives.…

A: Here in this question, we need to prove that the given function is not differentiable at the origin…

Q: Consider the differential equation y" = ef + xy' where y is considered to be a function of . In this…

A:

Q: Determine whether the series is convergent / divergent (4) Σ.Ξ1 +∞ 1

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Q: + 1 -оу-х -oy=x2

A:

Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: T -2 -1 4 3 2 - -3 1 3. From the above graph of y = f(x), find the following limits: (a) lim f(x) =…

A: (a)  limx→-4f(x)=2   (b)  limx→-3f(x)=-2   (c)  limx→-2f(x)=-3   (d)  limx→1f(x)=infinite

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A:

Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x2. Find…

A: marginal average cost

Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

A:

Q: In how many ways can 8 campers sit around a campfire? 5,040 5,760 40,320

A: No of ways n people can sit around a circle = (n-1) !

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

A:

Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

Q: 4. ABP is a triangle, M is a point on AP. AB = a, AM = 26, and MP = 6. N is the midpoint of BP. C is…

A: We have to find PB→ and prove that M,N and C lie on the same line.

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

A:

Q: 9- Solve the question. Lim cos(2x)/x X->T

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Q: Question 1 CD Assume that "Foo is a function defined by Foo = x²-3x+1 288-1 For a ≤x≤3 Prove that…

A: Given: fx = x2-3x+12x-1---------------------------------To prove: Fx is bounded for 2≤x≤3.…

Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…

A: Explanation of the answer is as follows

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: We need to choose correct option.

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

A:

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

A:

Q: Let A(z) = f(t)dt where f is the function given by the graph below. 3- 2 + 2 H d -2 A(3) - A(8) -

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Q: Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30.…

A: Given that we need to find the interest on a loan for following interest rate and on time.

Q: EXAMPLE 1(DISK METHOD) Find the volume of the solid generated by revolving about the x-axis,the…

A: Given problem:- EXAMPLE 1(DISK METHOD)   Find the volume of the solid generated by revolving about…