Example 2 Compute (a) (1+i)/(3-i) and (b) (1+i)4.

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

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Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

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Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

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Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 27) (3 -) v = O parallel O…

A: u=2,27 v=32,-19

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,…

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Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

Q: 38. f («) — е -3a; c= 2

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Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: Area of polar region =                                    integration of r^2/2 d(theta)

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Q: Find the general solution: dy = tanxtanydx %3D

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Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

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Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: 1. State the equation(s) of all horizontal, vertical, and slant asymptotes (if any) for each of the…

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Q: What is the value of csc(0) if the terminal side of the angle 0 intersects a circle at the point…

A: At first we want to find radius of the circle.

Q: Perform each using the polar form of z. 1+iv3 2. (1+1)2 4.(1 – i)?(1+iv3) Final answer should be…

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Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

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Q: lim f(x) = c lim f(x) = 00 lim f(x) = 0+ lim f(x) = 0- x-1+ X-1- f(0) = 0,f(-1) = -f(-2) = -

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =…

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Q: (x+1)* 40. k! k=0 IM:

A: The given power series      ∑k=0∞x+1kk!

Q: Q.5. A. U. Simpson's 1/3 rule to find the following integration: 7 300 O,dx) by dividing it to four…

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Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: -8 17 sine -15/17 -8/17 15/17 8/17

A: Given query is to find the measure of indicated angle.

Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Integration by trgonometric substitution 1. S_dx (4x-x2) ³12

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Q: mt) cos(r b) f(x) = /2r(4°

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Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: 2. The function g(x) is defined for -3 sx< 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: The function gx is defined for -3≤x≤3, The behaviour of g'x and g''x is given below. By using the…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given:    Plane 3x+4y=-7    Line x-38=y2=z-36 The point where the plane and line intersect:    The…

Q: Consider the one-parameter family of linear systems depending on the parameter a. dY This family…

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Q: x'+ x°)dx (x³+5) to 3

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Q: Haw.L Find minima, maxima and Saddte paints for the functionss foxy) -9x -4 xy १ Cx,५) = 2 L» x + L9…

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Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

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Q: Given: -8 17 sine =

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Q: Find fx , fy and fz. 1 -1 f(x, y, z) = tan %3D \xy²z4, ().

A: Here we will find Fx,Fy,Fz;