1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

Q: 40. The graph above represents f (x). Which of the following graphs represents f(x)? А. B.

A: Graph of the function f'(x) is given we have to find the graph of the function fx

Q: Let f(b) 4 24 b-3 6²-9 Evaluate the limit: lim f(b): b→3 ९

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Q: Question 12 What is the equation of the line that is vertical and passes through the point (3,-2) ?…

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Q: Let f(b) 24 4 b-3 6²9 Evaluate the limit: lim f(b) b-3 21|00 3 ९ 8

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Q: 3. f(x)=; X+5 X-4 4. f(x)= |x-1| Find (a) f(-3) Find (a) f(-1) (b) f(-3) + 4 (b) f(-1) + 2 (c)…

A: Given functions:- 3. fx=x+5x-4 4. fx=x-1

Q: Find domains and ranges of the following relations? Write domains and ranges in interval notation

A: We can find the domain and range from the graph in the following steps.

Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)

A: We say a limit exists if right hand limit and left hand limits are same. We have…

Q: Let v = PQ, where P = (3,5) and Q = (9, 10). What is the head of the vector v' equivalent to v based…

A: Given vector is v=PQ→, where P=(3,5) and Q=(9,10).

Q: Solve for the Inverse Laplace of 4/s(s+4)

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Q: Use the graph below of a function fto find all integer values of x for which f(x) = 3. Separate…

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Q: Q5. A Ferguson curve is defined by two Points (0, 0, 0) and (5,0,0) and two tangents [50] and [ 1-5…

A: Given data: Points at which Ferguson curve is defined (0,0,,0) and (5,0,0). Tangents at which…

Q: what is the volume of the following demensions? length= 4.23 cm width= 1.58 cm height= 6.80 cm

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Q: 11. If v = 4n²r³ and h = 4πr, find h in terms of v.

A: Given, v=4π2r3                               (1)h=4πr                            (2)

Q: Compute the following partial sums for the series Σ(-1)kk-³. (Give exact answers. Use symbolic…

A: Concept: Series: The total of the terms in a sequence constitutes a series, which is not a list of…

Q: Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

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Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: B) Find the limits (don't use L'Hopital's rule): sin(sin h) sin h 1) lim h-0 √√√1+x-1 x 2) lim- x-0

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Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that , ∫03fxdx=8 and fx is continuous on the interval -3,3.

Q: A graphing calculator is recommended. For the function, consider the following. nd g(--/-) g(x) =…

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Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: e x² + y² = z², bounded below by the xy-plane and bounded al integral to find the surface area of S…

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Q: 5. Find when y-In () A. 2000)+ sin(x) B. In (()) 2² C. xoos (x) + sin (0 D. 2009 (3) sin(x) xsin (x)…

A: Given: y=lnsinxx   As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2…

Q: Find ak for the series. Σ(x+13)* k k=0 (Express numbers in exact form. Use symbolic notation and…

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Q: Question 29 4π Find the area of the sector of a circle with radius 6 centimeters formed by a central…

A: Topic- Area of Sector

Q: Solve the differential equation. g'(x) = 18x², g(0) g(0) = -4 g(x) =

A: The differential equation is given by g'x = 18x2 The initial condition is, g0 = -4 To evaluate: The…

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 Y 14 where x is the horizontal…

A: Topic:- calculus

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

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Q: 4. Show that both x₁ (t) = et cost and x2(t) = et sint are solutions to the second-order…

A: To show that both x1t=e-t cos t, and  x2t=e-t sin tare solutions to the second‐order differential…

Q: 2 ГБА 0 4 - x - y dy dx

A: ∫01 ∫024-x-y dydx

Q: Fill in the blanks: As x → 5, f(x) →. asymptote. The equation is State the range of f(x) in interval…

A: The graph of the function states that the function have both horizontal as well as vertical…

Q: tried

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

Q: Given the three function below, which expression equals (k∘b∘z)(x)? b(x)=9x k(x)=x^4-2 z(x)=…

A: (k∘b∘z)(x)=k(b(z(x)))

Q: ver Series method, Solve the following - y ans: y=a. (1+2×) m

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Q: sequence. -2, 1, 6, 13, 22, ... Determine the sequence's formula in terms of n. a n= ? , n less than…

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Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have

Q: 샤 - b ± √b²_uac a=1, 6-2,025 = -2 + 2륵u(i) (5) 2) ㅋㅋ a 2 = -2-1-16 2 2=-1 ti ui 2

A: Given, a=1,b=2,c=4λ=-b±b2-4ac2a

Q: where did you get 48?

A: The supply function Sx=5x+8 and the demand function Dx=120-9x we have to find the equilibrium point

Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: The average price of a 0.5-carat round diamond is $3700 and the average price of a 0.75-carat…

A: Given query is to find the cost of 2.5 carat diamond.

Q: Find T centered at x = 4 for all n for the function f(x) = e*. (Use symbolic notation and fractions…

A: Concept: Taylor series: A function f(x) around a point x=a is expanded into a series in a Taylor…

Q: If a marble is dropped from a height of x feet, it will hit the ground with velocity v(x) = √x miles…

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Q: The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x-3…

A: Given that the function f(x) has a critical point at x=3.

Q: For f(x)= X X+1 (fog)(x); and g(x)= find 10 X b. the domain of f o g

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Q: Explanation Page ? QUESTION Prove the identity. (cscx-1)²cscx-1 cot²x 00 EXPLANATION We'll start…

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Q: 1. S e2x dx 25-4e4x

A: Note-according to battleby guidelines there are no rule such as answer typewritten only, so here I…

Q: Find the slope (if it is defined) of the line determined by the pair of points. (If an answer is…

A: Given query is to find the slope of the link ne.

Q: A tank holds 3000 gallons of water, which drains from the bottom of the tank in half an hour. The…

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Q: 2. -4 (a) f(-1) (c) f(0) -3 -1 *** y 1 -1 -2 -3 (b) f(2) (d) f(-2.5) 1 3

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Q: Given 5x -12y-4=0 write an equation of a line through the point (-5,-2) and perpendicular to the…

A: Given that equation of line is 5x-12y-4=0To find: equation of line  which is passes through -5,-2and…