Express the following functions in the form u+iv • f(z) = \n (1+z) P

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: find the derivative of the function using the definition of derivative & state the domain of the…

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Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: 3. f(x)=-2[x]

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Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: 3x² + 3y² - 6x − 24y + 24 equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We have to find the center and radius of given circle.   According to our guidelines we can solve…

Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: Match each linear equation with its graph Equation y = x y = y = y = S || Graph Color G a. purple…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 32. ³+x²+x+2 + 1)(x² + 2) dx

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Q: List the ordered pairs obtained from the equation, given {-2,-1,0,1,2,3} as the domain. Graph the…

A: Given: y=-2x+2

Q: A clothing business finds there is a linear relationship between the number of shirts,n, it can sell…

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Q: 13. The rate at which a garden uses water is measuued in thousands of gallons. If the usage rate is…

A: I am attaching image so that you understand each and every step. Given data:- The rate at which a…

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: 1. (Section 14.1) Graph the curve given by vector function 7 (t) = of positive orientation. Do not…

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Q: 2. Determine the regular monthly deposit required to accumulate $10,000 in 5 years at an annual…

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Q: If log₂ (4x + 5) = 2, then x =

A: According to rules, I need to answer first question when multiple questions are posted

Q: 5. How many compounding periods are there in the following investment? Dan invests a principal of…

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Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: Evaluate [si sin 3x cos 5x dx.

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Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

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Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: A sports franchise revenue can be modeled by the function R(t) = 337 + 8t. Their operating costs are…

A: Given data:- Revenue function R(t) = 337+8t Cost function C(t) = 245+20t

Q: Solve: 2 cos² x = x+sin x - 1 = 0, over the interval 0 < x < 2π

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Parameterize the line through P = (–4, −4) and (0, 3) so that the points P and Q correspond to the…

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Q: 333. f(x)=e* Inx

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Q: The online program at a certain university had an enrollment of 540 students at its inception and an…

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Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

Q: Represent N/ks^2 in the correct SI form.

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Q: Determine the range of the linear relation graphed below. -4 - y≤ 5 ⒸV-3 V> 3 --- -2 -1 6- 5- 4 3 1-…

A: Maximum value of y = 5

Q: 2 X • xý - (x+2) y = -2X²-2x Ans: y=C₂x²³ +2×

A: Given :xy'-x+2y=-2x2-2xy=∑m=0∞amxm=a0+a1x+a2x2+a3x3+...

Q: 4. lim-0 A. B. 1 C. sin D. Does not exist E. -1

A: We need to find limit.

Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3…

A: Here is the required solution:

Q: (a) Find a vector parallel to the line of intersection of the -2. 3y - 4z planes -x + 3y + 4z = 0…

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Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

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Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

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Q: use the limit comparison test to determine if the following series converges or diverges (hint :…

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Q: 3. Given the polynomial p(x)=-1¹-2³ +42² +8r, answer the following a. Please fully factor p(x) into…

A: The given polynomial px=-x4-2x3+4x2+8x Note:     The question contains multiple sub parts, as per…

Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹ 10. a² - 16 = 32

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Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: The surface area of the curve is given by

Q: B] Find the domains of the following relations. Write them in interval notation. 1) f(x)=√x-9 2)…

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Q: Find the domain of the function. Give result in interval notation  f(x) = 8/√8−4x

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Q: (b) y = √2-3x

A: y=2-3x

Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: um 2x-3x 3х 4x Х→0

A: For the following problem,

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: tha Guen that U is a universal set.. Contains all whole numbers less than 10 and A and B are subset…

A: Given data:- u is a universal set that contain all whole number less than 10 A &amp; B are subset of…