The complex number z is given by Z = z²+1 a²-b² 2z a² + b² a+bi a-bi show clearly that

Q: Find the average rate of change on the interval specified for real numbers h. h(x) = 2x³ on [x, x +…

A: Given:       hx=2x3 on x,x+h The average rate of change of continuous function hx on closed…

Q: Given each of the pairs of functions, determine the domain of (fog)(x). 2 a. f(x)=2*, g(x) = X b.…

A: We have to find domain

Q: 2. LEARNING ACTIVITIES Directions: Give the coordinates of the center, foci, vertices, and…

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Q: if x -1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim z→-17…

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Q: Find f'(x) and f'(c). Function SILJ f(x) = sin x X Value of c C = T Im 3

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Q: 1. Differential Equation d²y dx² 4. o'y dy 2. oz + + x 3. ()+()+4y=0 dv ds dx d'y 5. dx³ +5x=0 -8x=0…

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Q: Find -pi/4 < x < 0, which solution to the equation, 2sin^2 (x) + 3sin(x) +1=0.

A: Need to find out the solution of the equation in the interval given.

Q: 60° 17 Q The hypotenuse of a right triangle with base angle 60 and base 17 is

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Q: B. Write the equation of a circle in general form given its center and radius. Then draw its graph.…

A: As per guidelines we can answer only three subparts at a time. So if you need more answer kindly…

Q: For what interval(s) is the graph of the rational function negative? I I y 8 4

A: A graph of a function is called negative when it is below x-axis.

Q: (a) Find f(-21) and f(-6). f(-21) = f(-6)= (b) Find f(18) and f(0). f(18)= f(0) = (c) Is (6)…

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Q: 3. What is the amplitude of the function f(x) a. 2 b. 3 C. 4 = 2sin(4x)? d. π

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Q: 39. Use the following graph to evaluate a. f' (1) and b. ƒ' (6). -8-6-4-2 YA 8 6 4 2 O 2 -6 -8 2 6 8…

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Q: a B b с A

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Q: State the equation of the this graph using the cosine function. y & 2 - + -2 R 2n 0

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Q: (4-x-x² if x ≤1 if x > 1 2x 5 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: Find the general solution and the particular solution to the given initial condition of the…

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Q: Compute the angle between the vectors + j − k and - i- j - k. angle = radians (Give your answer in…

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Q: Convert the angle 360° to radians.

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Q: If ƒ = {(1, − 1), ( – 3, 1), (2, the following values of f and g. a. f(1) b. g(2) = = 3 c. g = d.…

A: Given :- f=1,-1,-3,1,2,14,π,1 and g=2,-1,-3,-2,34,-1 To find:- f1 g2 g34 f2 g-3 fπ

Q: The average rate of change of the function y = a) 27 Ob) 26 c) 13 d) 14 x³ from x = 1 to x = 3 is

A: Given function is : y=x3 We have to find the average rate of change of y from x=1 to x=3.

Q: w(n) = 4n + 2; Find w(3n)

A: We have w(n) = 4n + 2

Q: 25. (x + 7)(x-1) = (x + 1)²

A: rule:  a+b2=a2+2ab+b2x+12=x2+2x+1

Q: Question 11 39 x= 49° NOTE: The triangle is NOT drawn to scale. Find the following: Round your…

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Q: By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

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Q: Consider the following. 6 = f(x) = -x² +9 Find the x-values at which f is not continuous. Which of…

A: Given: As nothing is mentioned, we will be answering by graphical method. Graph:

Q: 6. Determine the number of roots, counting multiplicities, of the equation in the annulus 1 ≤|z|< 2.…

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Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (15,7). ū = (b) Find a…

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Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

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Q: Consider the function f(x)=√x and the point P(4, 2) on the graph f. (a) Graph fand the secant lines…

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Q: Find the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x

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Q: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12

Q: provide

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Q: 10 8 6 4 S •

A: Limit of a function at a point exists if left hand limit and right hand limit at that point are…

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

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Q: State the derivative. Do not simplify. f(x) = sin(ln(x))

A: To find the derivative of the function f(x).

Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

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Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

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Q: eate a table of integer values for x = -2 through x = 2 for _x)=x²-5

A: Topic:- calculus

Q: f(x) = -2 sin (0 A A/ For the function f(x π A/ + 3, state the Amplitude: Period: Phase Shift (be…

A: The solution is given below

Q: 5п Convert the angle from radians to degrees. 4 5T 4 degrees Convert the angle 210° to radians. Give…

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Q: Find the limit L. Then use the - definition to prove that the limit is L. lim √√√x x →0 L = 0 Use…

A: ε-δ definition of Limit: A limit limx→af(x)=L is defined as follows - If ∀ ε&gt;0 there exits δ&gt;0…

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: What is the limit of f(x) = 7 as x approaches ? (If an answer

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Q: Find lim X-7 X+4 X+1 X + 4 X + 1 lim X-7 (Simplify your answer.)

A: This question is easily solved by direct substitution

Q: Use Green's Theorem to evaluate the line integral F.dr, where F(x, y) = (x√√x+y₁x² + √√) and C is…

A: Here we have to apply greens theorem.

Q: Explain: e is really the limit of a sequence, and the value usually stated, 2.71828… is a numerical…

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Q: What is the equation of the horizontal asymptote of y = 2x - 2? a) y = 0 b) y = -2 c) y = -1 d) x =…

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