interior to a Ex: let to be any Simple closed Contour C, when flaxed ?? de no dz = 2πT ( Hw a) and ?? n=1,2-- b) dz (2-2)²+1 O +vely orient

Q: If sin t =1/ 5, and tt is in quadrant I, find the exact value of sin(2 t), cos (2 t), and tan(2 t)…

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Q: Find the derivative f(x) = |x-21= X-2 -(x-2) ×22 x 22

A: To find the derivative and then to evaluate each intervals with derivate.fx=x-2=x-2,  x≥2-x-2,…

Q: Which of the following is an example of a divergent infinite series whose general term tends to…

A: From the given infinite series, we have to find the divergent series whose general term tends to…

Q: This question is designed to be answered with a calculator. The equation of the line tangent to the…

A: In this question, we want to find the tangent to the graph of the given function.

Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? 5- X O 5 3 0 1 4321 -5…

A: This is a problem related to integral. Based on the given data and graph we will answer the…

Q: The normal to f) at (2.1) intersects the graph of for) at another point. What are the coordinates of…

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Q: Consider the following the integral from 0 to 0.75 of x^2/sqrt(9-16x^2) dx using trigonometric…

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Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: Q4/ Find a root by using Bisection method, lying between 0 and 0.5 with error 4% ,the equation 4e*…

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Q: Using the graphs of the functions y=f(x) (red dashed line) and y = g(x) (blue solid line), evaluate…

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

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Q: Question 7 of 12, Step 1 of 1 Solve the differential equation given below. Answer y = JUN 14 esc ck…

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Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

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Q: Determine whether the statement is true or false. 5 x | xEN and x is odd} Is the statement true or…

A: Ν is set of natural numbers.

Q: Solve the equation x^3−2x^2−x −6 = 0 given that x = 3 is a solution.

A: The given equation x3-2x2-x-6=0

Q: Part 1. Elimination of Arbitrary Constants 1. Eliminate the arbitrary constants using determinants y…

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Q: Consider the element σ = (123)(145) ∈ S5. (a) Write σ as a product of disjoint cycles. (Hint: It may…

A: We can solve as follows

Q: (x - 2)² + (y + 2)² = 8 The polar equation of the Cartesian equation r = 4r cos 0 - 4r sin 0 - A r =…

A: We need to find polar equation.

Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √√₁-x² dy = 0, y(0) = 1/2…

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Q: B/ Find the Laplace transform of f(t) defined as: f(t) = (t-1, (3-t, when 1< t <2 when 2 < t <3

A: Let's find laplace transform of given function.

Q: Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for EINEIN -…

A: Given : f(x)=-1 for -pi&lt;x&lt;-pi/2 f(x)=0 for -pi/2&lt;x&lt;pi/2 f(x)=1 for pi/2&lt;x&lt;pi

Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

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Q: A company surveyed employees about how they travel to work. • 47 employees walked 63 employees drove…

A: Given problem:- A company surveyed employees about how they travel to work. • 47 employees walked…

Q: Find the differentiation and provide a complete solution a. f(x)=x2√1-x2 b. y=tan3x

A: See this diff and provide a complete solution in below

Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

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Q: B: Solve the following differential equation by Laplace: d²y + 2x + 5y = et sint dx² dx ,y(0) = 0,…

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Q: An object is moving with V(t) = 3t and the position X(0) = 2. What is the position of the object at…

A: Given :v(t)=3t13x(0)=2

Q: Use the chain rule to evaluate fu and f, at (u,v)=(2,-2) where f(x,y,z)=y³+xz² and x=x(u,v)=u+v²,…

A: Concept: The chain rule for the function f (x,y,z) is  dfdu=∂f∂x∂x∂u+∂f∂y∂y∂u+∂f∂z∂z∂u…

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: Q1/ A: Find: 1 1 L-1 55+4 53 2S-18 $²49 + 24-30 √S 54 2- L (t² cos at)

A: As per bartleby guidelines we only give first question answers.

Q: Convert the equation f(t) = 232(0.76)* to the form f(t) = aekt a k= ||

A: The equation ft=2320.76t

Q: Find an equation for the tangent plane to the surface z = 3y^2 − 2x^2 + x at P(2, −1, −3). Express…

A: Let's find equation of tangent plane.

Q: 1 A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is…

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Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

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Q: f(x) = { ² 1 - 0 < x < ² 1, -π X < 0 -1,

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Q: [Sin* ( x ) Cos² (x) dx

A: I have stated the used formula in the solution

Q: x = 5 is a solution to the equation x^(3)-4x^(2)-2x -15 = 0 Find the other solutions with the help…

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Q: Q1. 02. Evaluate the improper integral: 8 1 Se x(lnx)³ dx Evaluate the integral by integration b

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the iterated integrals a. (x-y)dydx b. cos y dxdy

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

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Q: Using the sum and difference of cosines formula, find the exact value of cos(5π/12)   Enclose…

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Q: Find the differentiation and provide complete solution a. y= cos3x2 b. f(t)=sin34t

A: a) y=cos3x2 On differentiation: dydx=-sin3x2×3×2xdydx=-sin3x2×6xdydx=-6xsin3x2

Q: B: Solve the following differential equation by Laplace: d² y + 2x + 5y = e-¹ sint et dx² dx ,y(0) =…

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Q: If it was 3 A = [ ²³₁ 4 So [20 0 8 A² = 11₁3 - A 51 41 A² = [¹64] - B 9 -C 20 A² = [13 A² = [16 9 5]…

A: To find the square of the given matrix.

Q: Q/IF it was AY ₁2) = -12 Y(2) ℗ Y³ (2) = − 12 ⒸY² (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13…

A: Given

Q: Question 2. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomia f(x) =…

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Q: Question 2. Find the equation of the plane passing through the points (0, 1,0), (2, 1, 4), and…

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