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Q: 1. Find the lim f(x), value of f(-1). Is the function continuous everywhere? If not, where is it…

A: The objective is to solve the above question.

Q: Evaluate the indefinite integral. for, sin( + C

A: Product Rule of integration : ∫u.v dx= u∫v dx - ∫dudx∫v dxdx .

Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: 7 In the interval T, 27|the equation sin x = 8 (a) has no solutions (b) has one (and only one)…

A: Solution of (sinx)^2 = 7/8.

Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

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Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

Q: e2" (18 + 5t – 2) 6 + 5(s – 2)² – 2(s – 2)³ (8 – 2)ª 2 - (8 – 2)* (s – 2)² Option 2 Option 3 6 (s +…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x² and…

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Q: B. For each of the following functions z, find and dx²' dyðx' axðy' dy2 1. z = 2x² – 5xy + y²

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Q: Show that - 8. ==1+* +4++++1=

A: We know ∑1n2=π26  Hence, ∑1(2n)2+∑1(2n+1)2=π26 Therefore, 14∑1n2+∑1(2n+1)2=π26 ∑1(2n+1)2=π26 - π224…

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x

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Q: nt Use the model A Pe" or A P where A is the future value of P dollars invested at interest %3D…

A: Let's find.

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

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Q: 2) w = 2yTan(2x + y) – 3xSec(x²y³) %3D

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Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: Find the Inverse Laplace of the following 6s – 4 s2 – 4s + 20 2e-24 cos 4t + 8e " sin4t Option 3…

A: Explanation of the answer is as follows

Q: EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the…

A: Since you have posted multiple questions with multiparts. As per guidelines we"ll solve only first…

Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

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Q: a²z a?z a?z For each of the following functions z, find and ax дудх' дхду 3. z = tan-1 (2)

A: partial derivative

Q: - 7z - 25 Evaluate (3x + 5)(r – 1) Add Work Submit Question

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Q: (2) Evaluate the iterated integral by converting to polar coordinates. 2 v8-yz Vx2 + y² dx dy o y

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Q: Obtain the differential equations satisfied by the given particular solution 2. y = 7- 2x +e* 3 1-…

A: Hi there! Thank you for your question. Unfortunately as per our guidelines we are restricted to…

Q: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

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Q: Exercises Construction of Homogeneous Linear Equations Obtain the differential equations satisfied…

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Q: 1. Determine if the following function is periodic. If it is periodic find the fundamental period,…

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Q: 10 Find the derivative f' (0) of f(x) = at х+4 O using the laws of differentiation.

A: f(x)=10x+4DIfferentiate w.r.t.xf'(x)=ddx(10x+4)Take constant outf'(x)=10ddx(1x+4)f'(x)=10ddx(x+4)-1…

Q: Solve the given initial-value problem y' + (tan.x)y = cos²x, y(0) = -1

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Q: _5. Given the fox²dx, which of the following is the integrand? A. O B. 2 C. x D. dx

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Q: E2"x" 4η n 7. it. n=0

A: The objective is to find interval of convergence and radius of convergence.

Q: 5x - 4 and the a-axis over the interval 6 Find the net signed area between the graph of the function…

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Q: S Зх-7 dx 10х2+3x+11

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Q: B. Solve as indicated. 1. Find the geometric mean of 28 and 112. 2. Find the geometric mean of 7 and…

A: To find the geometric means for the given data. The formula for the geometric mean of x1,x2,...,xn…

Q: the

A: We will find the distance.

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

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Q: 2. xy dx dy

A: While integrating wrt 'x' we will keep 'y' as constant. While integrating wrt 'y' we will keep 'x'…

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: x2 - x 1+ 3x? – 2x3

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

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to .…

A: Given  Marginal cost = $2.50

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: 1. 3p² tan¯p dp

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Q: dr

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Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

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Q: Find the set of all values of x at which the line 3x-y+ k = 0 is a tangent line to the curve f(x)…

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Q: set B: Problem #G · Find the equation of the line tangent to X = JL F (x) C) cos?x - sin2

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Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

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Q: (c) Let f(x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of…

A: Let's find.