Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2  t4 − 9 2t2 − 3t + 5

Q: 2. A manufacturer of boots for a slalom water ski has a production cost of $30 for each boot. The…

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A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: give the integral of volume of a solid of revolution when the region bounded by y=x2, y=-2x-1, y=0…

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

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A: We want to select the correct option.

Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

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Q: Use the Laplace transform to solve the given initial-value problem. Be sure to allow time for…

A: Given IVP y''-5y'=f(t)  , y(0)=1 , y'(0)=-1L(f(t))=8s-4-4s+1

Q: Numerical Integration. Use the table provided for the integral to find the given app Round each…

A: Solve the following

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A: I have stated the used formula in the solution

Q: Find the derivative of O 2sec 2x 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

A: I have stated the used formulas in the solution

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

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Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

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Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Describe the domain of the function. 1 g(x) = √8-x The domain of the function consists of all real…

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Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: C-The result of the following limit is sin 1² lim t 1-0 Oo O infinity 02 O anther answer

A: We can solve this as follows:

Q: 5. Use the Squeeze Theorem to evaluate lim sin z 2 1-00

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: B) Find derivative of the following function d -6tanx dx

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Q: Solve the intial Value problem (IVP) 2t ý -by-Zy - 6e

A: Note: Since, the student has mentioned "initial value problem (IVP)" but he has not given the…

Q: At San Antonio College, Danny obtains experimental data for the rate of change of f(x). The graph of…

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Q: Q.IB) If w=f(u, v) where u = tan ¹2 &v=ln(x² + y²), the show that: Əw dw aw +y ax dy 2- ду x-

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Q: The area of the region between the x-axis and the graph of the function shown below and the lines…

A: First I have drawn the region between given curve and lines and then find its bounded region,…

Q: for the function below, the domain and the range is respectively -2+√1-x

A: Topic = Functions

Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

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Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. The point P(2,-1) lies on the…

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Q: Evaluate the indefinite integral. Use C as the constant of integration. -3+ 6 cos 0 do 02 sin 0

A: To Find: ∫-3+6cosθθ-2sinθdθ

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

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Q: A) The area of the region between the x-axis and the graph of the function shown below and the lines…

A: Topic = Area

Q: The area of the region between the x-axis and the graph of the function shown below and the lines…

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Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

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Q: Which of the following differential equations are separable? Select all that apply. 0 U 0 dy (y - 1)…

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Q: Show that the following DE are Bernouli type and solve: 1. y’ – x = y 2. s’+ 2s/t = s 3 t 4

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Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

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Q: Does the equation specify a function with independent variable x? If so, find the domain of the…

A: Given: 8x+17y=31To Find: does given equation is function of x

Q: find C= A.B for the following matrices [3 5] 4-2 18-[21] A = ;B

A: Topic = Matrix

Q: D-the derivative is y = In In (VO) +

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Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: Question 1. Tangent and Velocity Problems I need answer for part b and c only Exercise 2.1, Problem…

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Q: Find by double integration the area of the region in xy, plane bounded by the curves y = x2 and y =…

A: Using vertical strip

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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