1 23. Σ (Inn)" 0=1

Q: 4. x = y² +6, x = 2, y = 0, y = 1 rotated about the line y -3

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Q: Evaluate ㅠ * 0 sin (9x) sin(5x) dx.

A: To evaluate the following integral.∫0π sin9x sin5x dx

Q: olve 2x-3y 4y + 3x¹ (c) y = 2 (d) (z-y)' + 3y -5x = 0. I need a clear answer by hand, not by…

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

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Q: I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps.…

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Q: Find the average value gave of the function g on the given interval. g(x) = 2 cos(x),   (-π/2, π/2)…

A: Given query is to find average value of the function.

Q: Find an equation of the plane. The plane through the point (7, 0, 3) and perpendicular to the line…

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Q: Given the graph of the function f (x) below, use a left Riemann sum with 6 rectangles t approximate…

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Q: (a) cos(0) = (b) tan(0) (C) sec (0) (d) csc (0) (e) cat (A) =

A: Topic:- trigonometry

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: 9 sine 2770 d²0 47⁰ [(@sos 1-1) but ] + [ ₁₂ (AP) m ² ] 7

A: Given; [M(L d(theta)/dt )2] + [Mg(L-L Cos(theta))].

Q: If z is a differentiable function of x and y satisfying the equation sin(x²z+ny²) + 2x³ = yz² + 2,…

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Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: question 13. y' - 5y = 0, y(0) = 2

A: We have to find the solution of given differential equation.

Q: (d) d dy 11 = 4- 2x cos y 3y² tan 2x - - 2y3 sec 2x 2 sin y

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Q: 12x-8y+11=0

A: We have to choose the correct option from the given options accordingly to the given information

Q: (g) For each fixed k, and each a such that 0 < a < 1, the series Enka" converges and thus, lim na" =…

A: Please see the below picture for detailed solution.

Q: 0:0(0-¥x)+XP(46+2)

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Q: Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

A: We can find the limit as below.

Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

A: Here is the ordinary differential equation. As it is a homogeneous equation first we let   V = emt…

Q: Let k(x, y) = = ex cos(x + 2y). For any (x, y) E dom k, evaluate 2k(x, y) + 4ky(x, y) - kry(x, y) +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: the lakrang. 3 foxy 2 2 7 True Erort

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: Use the graph of the function f shown to estimate the indicated quantities to the nearest integer.…

A: Given graph we have to find different limits.

Q: If f(x)=√x-2 and g(x)=x+3, what is the domain of f(g(x))? O #23 02-2 O M-1 O z>2

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Q: It takes 15 min longer for John to wash clothes compared to his sister. If they work together, it…

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Q: My Solutions > After learning that the slope of the tangent line is the derivative of the function…

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Q: Find the general solution of the Differential Equation dy dx 4y x(y-3)

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Q: What is the integral of the function f(x) = sin 2x?

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Q: A company produces and sells 1440 tables each year. Each production run has a fixed cost of $200 and…

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Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

Q: Determine whether the three points are the vertices of a right triangle. (6,1) , (0,4) , (-6,-8)

A: Given, (6,1) , (0,4) , (-6,-8)

Q: -10 10 Provide your answer below: 8 6 4 2 46- -8 10 6 8 →x 10 What are the x-coordinates of the…

A: We can find the answers as below.

Q: Let g(x, y) = cos(x + 4y). (a) Evaluate g(8, -2). g(8, -2) = (b) Find the domain of g. 0 - 1 ≤ x +…

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Q: 94. S 1/2dt sint 1+t² 38 WO (Hint: sin(-t) = -sin(t))

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Q: Check for exactness and obtain the general solution. 1. x(3xy - 4y³ + 6) + (x³ − 6x²y² - 1)y' = 0

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Q: Evaluate 6x³ sin² (x¹) dx

A: Concept: The sum of the discrete data is indicated by the integration The area, displacement, and…

Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: 23-2 y₁ Evaluate. lim f(x) x--3

A: Given query is to find indicated limit.

Q: Find the General Solution G.S. 1. (y² - 2xy + 6x)dx - (x² - 2xy + 2)dy = 0

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Q: Let g(x)=(x-2)^2, and h(x)= |2x|+4 Translate these functions up by 1 unit and to the left by three…

A: Given, gx=x-22hx=2x+4

Q: Evaluate the expression 3-³6².

A: Given, 3-362

Q: Find the area of the region enclosed by the graphs of 1 1 √1-9x²² NOTE: Enter the exact answer. Y…

A: Find the area

Q: Q1) Solve the following system of algebraic equations using matrix inverse method. 6 10-0

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Q: Ja 3 JU 3. If B = f(x)-2g(x), then B'(0) = ?

A: Given, B=f(x)-2g(x)

Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: Evaluate lim X-700 lim X-700 lim the limits 44X 1-5X 2x+5 10x²-3x+5 2x3-7x²-11X 11-10X-9x3

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

Q: Find the limit x + 3 lim x 5 x²-3x + 5

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Q: 2 The point P is on the unit circle. If the y-coordinate of P is, and P is in quadrant II, then x=

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Q: variables to be contiñuous al a polm the function are the same at this point; that is, lim f(x, y,…

A: The function is given x2y25-x2-y2.