Use sigma notation to write the sum. j=1 2 [³ - (²-)²³] + [³ - (²³)³] + - + [³ - (-)²] 4 2 +3 3

Q: sina sin 2α lim a-0 1-cos a

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Q: Given the following graph of a rational function and its equation 5(x+1)(x-3) (x+4)(x-5) , identify…

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Q: the following Round all answers to 3 decimal places as needed degrees B =

A: We are asked to find the unknown values of the triangle

Q: Compute the value of -98 mod 9. Ex: 9: 6

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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: Question 8 40° B= Q Note: Triangle may not be drawn to scale. Given the triangle above, answer the…

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Q: The signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the equation…

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Q: 30° 19 The height of a right triangle with base angle 30 and base 19 is

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Q: Convert the angle 4 from radians to deg

A: Topic:- trigonometry

Q: Find the general indefinite integral. (Use C for the constant of integration.) [se sec(t) (9 sec(t)…

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Q: Write as a radical expression. 4 3) 3²21, 2017 3 X

A: Given that :        31/2.x4/3 and we write as a radical expression.     Here i attached the solution…

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

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Q: Solve the equation O a) x = = ± √5 O b) X = X x+1 −5+2√/5 2 c) x=0, x=5 O d) no solution = 5 x+5

A: Given, xx+1=5x+5

Q: Find the standard equation of the circle which satisfies the given conditions. 4. center at the…

A: The objective of the question is determine the standard equation of circles.

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: Another way of writing 16 = 24 is a) log42 = 16 b) log₂ 16 = 4 c) log₂ 4 = 16 d) log16 2 = 4

A: logax = y is equivalent to ay =x .

Q: Consider the following. X-8 lim x-1 x² - 4x - 32 Create a table of values for the function. (Round…

A: Given:- limx→1x-8x2-4x-32

Q: 11. Determine whether the relation u²+v=7 (a) represents u as a function of v. (b) represents v as a…

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Q: 3 2 Let f(x) = 2x²³ - 12x ² + 18x + 20 O Find the coordinates of stationary points 22 Delermine the…

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Q: Domain (r) 2 4 1. Range (y) 5 8 9 -7 Domain (r) 1 13 9 0 2. Range (y) 11 8 2 Domain () 2 3 9 -1 3.…

A: According to the guidelines I need to answer only first three parts still I have solved first four…

Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: since you have posted multipart question i can do  first three subparts as per our company…

Q: The graph of the function f(x) = 5 - 8 can be obtained from the graph of g(x) = 5* by one of the…

A: Domain:- The set of all those x such that function f(x) exists.Range:- The values of the f(x) assume…

Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We can sketch the graph of the given function after complete the table .

Q: Two vectors in the plane, i & j, have the following properties: i. i = 1, i .j = 0, j . j = 1 a) Is…

A: Given Properties of two vector i and j: i.i=1, (i is parallel to i )i.j=0 ,(i is perpendicular to…

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

A: Topic-Linear function

Q: Find each of the following functions and state their domains. f(x) = x3 + 4x2 g(x) = 6x2 - 1   a. f…

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Q: 3. Find the differential equation associated to the equation: y = C₁x²e³* +C₁xe¹ +C₁e¹*

A: Note:- Since you asked multiple Questions ,As per our policy we can solve first question  for you…

Q: function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x). (C) lim f(x), and…

A: Given query is to find the Indicated limits for the function.

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

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Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.

Q: 2. The equation f(x) = 4cos(45(x − 2)) + 7 describes the depth of the water in a harbour, in terms…

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Q: An equation for the graph shown is: y 8 a) f(x) = x(x − 3) b) ƒ(x) = x(x − 3)³ Od f(x) = x²(x-3) c)…

A: From the graph, we can clearly See that the equation have 3 roots, so equation Must have 3 degree.

Q: 16 S 15x-31dx Evaluate the integral

A: Topic = Integrate

Q: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: 4) The graph below represents the relationship between velocity and time during a motion. graph to…

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Q: Show that the surface area of a sphere with radius a equals 4ra². r(u, v)= (a sin u cos v, a sin u…

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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: 7. Now let f(x) a. f(1) = b. f(1+h) = C. = ƒ(1+h) - f(1) h *+¹ and h ‡ 0. Compute the following and…

A: Given f(x)=x+1x, And h≠0

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

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Q: Find the area of the sector of a circle with radius 2 yards formed by a central angle of (T)…

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Q: if f(x)=√x−3 and g(u)=e^u=e^u+3 (a). find (f o g)(u) (b). find (g o f)(x)

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Q: The volume of a sphere is given by where r is the radius. Find the volume, in cubic inches, when the…

A: The given problem is solved below in detail.

Q: Find the limit. lim X-6 lim X-6 x² - 4x-12 X-6 2 X - 4x-12 X-6 = (Type an integer or a simplified…

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Q: What is the particular solution of ayda (+2) dy=0 when z = 0 and y = 1? O e* = 4y(x + 2)² ○ 4e* =…

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Q: Use integration by parts to evaluate the integral. f2x si sin(x) dx + C

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Q: 4) Evalvate the integral E 4 1+x² dx

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Q: In the set of all strings of eight uppercase letters (possibly repeated) from the English alphabet,…

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Q: Give an example to show that vectors are not commutative under the cross product operation. Justify…

A: The objective of the question is checking the commutative fail in vector cross product.

Q: 6 5 4 3 نیا 2 1 y 0 lim I T h→0 y = f(x) 1 2 3 Enter each answer as a whole number or a fraction, or…

A: Lim x→a+ represents " x approaching a from the right side of a" Lim x→a- represents " x approaching…

Q: (2) Evaluate the definite integral ₂ |x|dx.

A: Concept: Definite integral: The region beneath a curve between two set limits is a definite…