dy (c) -y = e* sin(2x) Integrating Factor Marks] y = 1 when x = 0

Q: x +1 dx | (25 – 12) 3 2

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Q: Use the difference an+1 a, to show that the sequence - {n – 3"}, is strictly increasing or strictly ...

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Q: 1. Suppose that g(x) > 0 for all r, g(x) has a continuous derivative, g(-2) = 5 8 g(4) = 3 and | g(x...

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Q: Consider the differential equation e' (3x-6x). Let y = f(x) be the particular solution to the differ...

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Q: determine whether the statement is true or false. If it is true, explain why it is true. If it is fa...

A: Given: Iflimx→7 g(x) = 0 and limx→7 f(x)g(x) = 0 exists, then  limx→7f(x) = 0.

Q: The graph of f(x) is given by 3 Determine the following limits. Write your answer in the form lim f(...

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Q: 2. SS y' e ř drdy D: x=0, y=l,y= 2

A: Given: I=∫∫Dy2e-xy2dxdy And D: x=0, y=1, y=x2 We know that; ∫eax+bdx=eax+ba+C And ∫a·fxdx=a·∫fxdx, w...

Q: Scsc' xcot' x dx S(x + sin x) dx S sec' x dx

A: We have to find the indefinite integral.

Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: Evaluate the integral. Show all your work tan' x sec xdx 3

A: Imtergararion of trigonometry function 

Q: - - 3. (D2 – 3D + 2)y = 2x³ – 9x2 + 6x

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Q: Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the foll...

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Q: Find the second derivative of y2+2xy=x+y

A: The given function,    y2+2xy=x+y

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

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Q: h3-4h 3. lim h-2 h3-2h2

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Q: Consider sequences {an} and {bn}, where lim an = 2 and bn = (-1)". Determine which n++00 of the foll...

A: Given: limn→+∞ an=2          and           bn=(-1)n

Q: 13) Find the radius and interval of convergence of the power series (-2)" (x+3)" 3

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Q: 3. Consider the curve C defined by the vector-valued function R(t) = -2):+-3)j+ cos(t – 2)k, - oo <t...

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Q: 4. How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y+ z =0 2y -...

A: Follow the procedure given below.

Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: Given sets X and Y. For x EX and for y E Y, we form the Cartesian produc X x Y := {(x, y) : x E X, y...

A: Given that: X={-1, 1}Y={-2, 0, 2}

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

A: topic - translation

Q: 4. y=Vsin 2xcos 5x + 3

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Q: Find the limit of the function as x approaches 2 from the right. a. 2 b. -1 c. 5 d. 0

A: Given query is to find the Indicated limit.

Q: (a) Determine all distinct values of vZA given that A = -1+ iv3.

A: Follow the procedure given below.

Q: Find the measure of the complement of a 52° angle. The measure of the complement of a 52° angle is (...

A: Given Angle is 52°We know that If sum of two angles are 90 degrees then they are called as complemen...

Q: Find the derivative of the function. g(t) = r² - %3D g'(t)

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Q: Evaluate the indefinite integral. 4 In(5 – x) dx

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Q: 6. у3 2x – Jx² – 1

A: Given function y=12x-x2-1 we want to derivative of given function with respect to x 

Q: Determine convergence or divergence by any method. 00 (-1)"n n=0 Vn2 + 9 The series diverges. conver...

A: The given series,       ∑n=0∞(-1)nnn2+9

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: If f(w) tan (3w), find f' (w). Use exact values. f'(w) : %3D

A: We will find the exact value of f'ω when fω=tan-13ω in the following step.

Q: Find the series' radius and interval of convergence. Find the values of x for which the series conve...

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Q: What is the domain and range of the function g(x) shown in the graph below? a. Domain: -9 ≤ x ≤ 11 ...

A: Given query is to find the domain and range of the function.

Q: Use the Quotient Rule to find the derivative of the function. f(x) = f'(x) =

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Determine whether the following statement is true or false. Use a calculator when necessary. If c...

A: We will find the value of Tanθ and determine that given statement true of false.Below find the solut...

Q: A robot arm joint moves in an elliptical path (horizontal major axis 8.0 cm, minor axis dy 4.0 cm, c...

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Q: Question 6 Maximize z = 8x + 2y subject to: x+ y<4 2x + y s 5 x2 0, y 20 The maximum is 20 at (2.5,0...

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Q: dy Consider the differential equation dx Let y =Jx) be the particular solution to the differential e...

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Q: Let f : R → R be a function such that |f (x) – f(y)| 0. Write the e-d definition of continuous func...

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Q: What is the average rate of change of f(x) from x1 = -0.2 to x2 = 7.8? Please write your answer roun...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,      ∫011dx11-x

Q: Use the rules of differentiation to find the derivative of the function. f(x) = V f "(x) )%3D

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Q: Find f-(x, y, z) in the function f(x, y, z) = a?y*z + ay +? +1. %3D A. fa(x, Y, z) = 4x²y°z* + x %3D...

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

A: let the two numbers be x and y so  x×y=36sum=x+y since         xy=36⇒y=36x Substitute y value in sum...

Q: Put the function P = 8(1.8)' in the form P = Pekt. NOTE: Round your answer to four decimal places, i...

A: The objective of the question is rewrite the given function in different form.