In Exercises I through 8 use the parallelogram law to form the sum and difference of the given complex numbers and then verify the results by direct addition and subtraction. 1. u=2+3, v= 1– 2i. 5.=3+6i, v 4+2i.

Q: is Convergent Determine whether each those that are convergent. integral divergento Evah or In X

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Q: Find the area between y=2sin⁡x and y=3cos⁡x over the interval [0,π]. Sketch the curves if necessary.

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Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: Activity 1. Find an equation of the tangent lim given point. 1. y = 16 - x2; 2. f(x) = 3x2 + 9x; (0,...

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Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: The line tangent to the graph of g(z) =z- 4z +1 at the point (2, 1) is given by the formula L(z) = 8...

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Q: An+1 to determine if the sequence An Use the ratio is strictly increasing or strictly decreasing. 5n...

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Q: Determine the sum of the measures of the interior angles of the indicated polygon. Octagon The sum o...

A: topic- polygons and angles

Q: (х + 3)2 dx. J V40 – 6x - x²

A: Evaluate ∫x+3240-6x-x2dx=?

Q: а. f(x) %3D х-5

A: Given: a) x-5  

Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.  

Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

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Q: ) Prove that r1 and r2 intersect and calculate their intersection B) What is the angle between r1 an...

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Q: (x+1)dy = (2xe* – xy – 2y)dx

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

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Q: 1 dr r/1+ x6 (use trigonometric substitution) 3.

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Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: (x+1)(x³-2x²-x+2)*/x*(x8=4x++4)² dx equals x2-x-2

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Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 eY =x2 -y? %3D y' =] y'l(3....

A: topic - implicit differentiation

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 9, 7/(x-1)^1/3 dx ...

A: The integral is  ∫09 7(x-1)1/3dx

Q: nsw

A: [16+(-4)](-4)

Q: X1 + 3x2 + 5хз + 7x4 3D 8 7x1 + 9x2 + 2хз + 5x4 3D 0 GAUSS-JORDAN ELIMINATION 2. 5x1 + 7x2 + 7x3 + 7...

A: We can rewrite the equations as follows:-    

Q: S(x) 2 -1 2 3

A: The objective is to find f(-4).

Q: Se2*dx 8.

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Q: From a point 56 feet above the ground, a stone is thrown vertically downward and hits the ground at ...

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Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x = Iv...

A: Topic:-  trigonometry

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (a)  ...

A: Follow the procedure given below.

Q: 3) Using Quotient Rule ()'=€'gfg),find (±)' = (3×/eX)' = A) (3/e)X[In3-1] B) (3/e)x-1 C) 3×ln3/eX D)...

A: Topic:- derivatives   

Q: 2. у - 4x(2y -у) – y) %3D

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Q: Find the exact anser for t and leave the answer with the logarithm in the answer. 40e−0.2t = 12

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Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: There is a jump discontinuity at x = 2 and ƒ(2) = 3 %3D

A: There is a jump discontinuity at x=2 and f(2)=3

Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

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Q: c. Describe in words the meaning of the question "For what value of Tis f(T, 20) = -49?" Then answer...

A: Find your answer below 

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x²) dy = 0 is

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Q: 3. Evaluate all the first partial derivatives of the given functions at the given point. of of 1 a) ...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

Q: (y? cos x - 3x2y - 2х) dx + (2y sin x - х3 + Iny) dy %3D 0, when x 3D 0, у %3D е

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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|

A: topic - functions

Q: Determine whether the equation defines y as a function of x. Please show all the detail steps of you...

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Q: 4t2+3t sin t 2. lim t 0 t2

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). x In y + 6y = 3x ] y'l(-2.1)...

A: This question is related to differetiation. solve in step 2

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: proj„b is always less than |5 1|

A: We will use the definition of projection vector and will use the Cauchy-Schwarz inequality.

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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