Let a be a real number. Evaluate the following integral: So fx + y dady -1

Q: A lighthouse, L, is on an island 8 mi away from the closest point, P, on the beach. If the…

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Q: Graph the function. m (x) = -3 X for -3 <x<-2 for -2<x<2 -x²+4 for x ≥ 2

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Q: Find the product of 1 - 2i and its conjugate. (Recall a + bi and a The answer is - bi are complex…

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Q: 50 40- 30 20 10- 10 20 30 40 50 60 Cassidy is a lifeguard and spots a drowning child 60 meters along…

A: Given the location of child is 60 meters along the shore line and 50 meters from the shore. The…

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: 4.5 √√w + 10√w³dw W

A: Since you have asked multiple question,we will solve the first question for you.If you want any…

Q: find the general solution (x - 2y + 3) dx + (x-3) dy=0

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Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

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Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: Let f be the function that contains the point (-1,8) and satisfies the dy 10 dx x²+1 (a) Write the…

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Q: Find the inflation rate from 2006 to 2007. Assume that all prices have risen at the same rate as the…

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Q: Ishaan and Rishaan bought some chocolates. One of them bought 9 less chocolates than the other. If…

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Q: For the function f(x) = cot³ (x): • Rewrite f (x) as a composite function f(x) = g(h(x)). • How did…

A: We have to solve given Questions.

Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

Q: Siven : dy ax + 3xy ty² x² + xy 3xy ty X2 txy 2 у dy бус х xt = 0

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Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: Refer to the figure below. (a) Find the angle opposite the longest side. (b) Find the area of the…

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Q: True or False: We have Select one: O True O False 0 8 √√xdx = 12.

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Q: Find the extreme values of f subject to both constraints. (If an answer does no f(x, y, z) = x + 2y;…

A: using lagrange multipliers.

Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

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Q: .1 The evaluation of 2xe³ dxdy is 3e-1 O e-3 -1 e- None of them O -3e O

A: To find out the double integration.

Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

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

Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: Eliminate the arbitrary constants from z= (x-a)^2 + ( y- b)^2 to form the partial differential…

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Q: Problem 3. Solve below definite integrals In(x) (e) (²) dr. (d) In(r) dr. * -dx, 23 Т

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Q: √√x-³√x+3x-1 dx 1. S

A: The calculation follows as:

Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: CHECKPOINT 1.22 Find the net displacement and total distance traveled in meters given the velocity…

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Q: 8,x<0 f(x)= {ax+b, 0<x<2 a= 4,x22 Llene los ...

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Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

A: The region bounded by the curve y=4-x^2 and the line y=x+2 is revolved about the x-axis. Determine…

Q: Find the general solution of the given differential equation. x²y + x(x + 2)y = ex y(x) = Give the…

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Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral

Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: given:-Person A has $2.40Person C has $11.25To calculate the person B's money.

Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: 5. 2x-1 4x - 1 dx

A: We can solve this as follows:

Q: 6. The decimal expansion of 135/ 225432 will terminate after how many decimals?

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Q: √1+4x4 x3 dx

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Q: 9/ Approximate the follwoing integrals using The Simpson's ruls @ 0-25 b (Cosx) dx -0-25 Š 0-5…

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Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A: Solution given below

Q: Evaluate the following integral using inversion of order: So ²5 dydr Remember to show complete…

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Q: √x+1 x-0 In (x + 1) Evaluate lim Select one: a. The limit does not exist. O b. 0 O c. 1 O d. 1/2

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Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

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Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: Use a fixed-point iteration method to determine a solution accurate to within 10-2 forx-3x²-3=0 on…

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Q: 2. 6 cos 2x dx

A: To evaluate the given integral.