Differentiate the function. 1 2 =(√x + + + + + ) ² 3 v' = V

Q: Find inverse g(x)=x²-2x, x²1 f(x)= 1+√2+3x S y = (2+ 3√x) ³ 1-√X Y = T+√x

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Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2x 3

A: Given, limx→12x+2-x3

Q: then m = (q²b²³) 1/10 9-1/261/5 = and n = qmbn 1/10

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Q: 開 3 1. L-1

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Q: 2)Find an equation of the circle whose center lies in the second quadrant, that has radius 2, and…

A: We know that in second quadrant x-co ordinate is negative and Y- co-ordinate is positive. Required…

Q: 9²-9 9² + 69 79 2 9²-29-3 9² +29-3 2

A: To simplify ans solve the given question

Q: 1. In each of the following initial value problems, determine the maximal interval in which the…

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Q: e the integral: [₂³ 1 A r² dr

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Q: Find the indicated derivative using implicit differentiation. e²t_st = 6; dt " ds

A: Topic- implicit differentiation we are given ,es2t-st=6we know that(uv)'=uv'+vu'(eu)'=euu'where u…

Q: 21. f(t) = 4t 10

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Q: A salesman sold ​$300 more than the rest of the sales staff. If the sales total for the day was…

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Q: Consider the equation below. x² + y² - 2x - 8y - z + 17 = 0 Reduce the equation to one of the…

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Q: 2. f(x) = (x + 2)²³ (x-1)

A: Given:       fx=x+22x-1  Apply chain rule:   f·g'=f'·g+f·g' here f=x+22, g=x-1…

Q: Solve the following differential equation: 4y'' +12y' + 9 = 0

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Q: = f(x) to 3) Use the appropriate integral formula for the length of a curve represented by a…

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Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: Use the Intermediate value theorem to show that the given polynomial F(t)= 2t2 + 3 - 3t has a real…

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Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: x² - 10x x-0 9x²-x (d) lim

A: Given query is to find the limit of the expression.

Q: 10. Solve uxx + Uxt-20utt = 0, u(x, 0) = (x), u₁(x, 0) = (x).

A: Factor the operator as we did for the wave equation

Q: integral

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Q: Given f(x, y, z) = xyz, find fxyy

A: The given function is fx,y,z=xyz We have to find the value of fxyy

Q: Write the standard form of the equation of the circle with the given center and radius. Center…

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Q: Solve the given differential equation (2x + 4y - 1) dx (x +2y-3) dy = 0 Ox-3y-In (x+2y-3) = C O 2…

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Q: - If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter…

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Q: x² - y² = 25, x ≥ 0, y = −5, y = 51

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Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

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Q: Evaluate the integral. 6 t² sin(2t) dt

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Q: Solve y = (1 + y) sec (x) + tan (x)

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Q: Sketch a quadric surface that could have the traces shown. Traces in x = k O k = ±2 k=+1 k=0 Traces…

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Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

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Q: Evaluate e sin(x)dx. (Hint. Use integration by parts twi

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can find the limit .

Q: Determine the domain and range of x) = (x + 2)²

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Q: Find the particular solution of each of the following. y(1+21n²) dx+xdy=0; y(e)-e

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Q: 3x Solve for the complete solution of the differential equation: y" — 6y' + 9y = e³x Inx. What is…

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Q: Complete the table and predict the limit, if it exists. (Round your answers to three decimal places.…

A: Let's find limit is exit or not.

Q: and- I need a clear answer by hand, not by keyboard | dybala Determine the general solution for the…

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Q: Solved the following set of equations 16x +2y-2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: Find your answer, I solved using Jacobi method, upto 4 iterration

Q: Decide which of the following are true. Choose all that apply. Review intersections and unions here.…

A: Operations on Sets   Union of Sets If set A and set B are two sets, then A union B is the set that…

Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√√3i)

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Q: lim f(x) = ∞o 8118 Which of the parent functions exhibit the end behavior shown to the left? (note:…

A: graph of y=x;   y=x^2;   y=x^3;   y=1/x;

Q: Find y' for y= [1 + *(¹ + ³) ³. 3 3 X y' =

A: We need to find second derivative.

Q: 6. Find the points of intersection of the graphs of the functions. f(x)= x² +14; g(x)=x + −6 a. The…

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Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: 1) Use the equation y = f(x) from part 1) and solve for x = g(y) as a function of y. = f(x)=7x=49…

A: We have to use the equation y=f(x) and solve for x=g(y) then we have to find L

Q: Let f(x)= -6 cos x + 6 tan x Find ‘(x) Find ‘(π/3) My results were the following: f’(x)=…

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Q: A projectile is launched into the air. The height of the projectile above ground can be modelled by…

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