a) Sketch the region of integration and evaluate the double integral 8 [L, -6 10 -2 y + xy² dx dy b) Change the order of the integration

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Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ ( 1. (D³ - 5D² + 3D + 9)y = 0 2. (D³ - D² –…

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Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

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Q: Consider the following. f(x)= -(-3x, X ≤ 6 X > 6 x² - 4x + 9, Find the x-value at which f is not…

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Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: y"-3y-2y=0; x = 0, y = 0, y =9, y'=0

A: Solution of given question is written in below steps.

Q: 1₁ (²+4)y=12; y(0) = 0 (0) = 2 1.

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Q: Evalúe el siguiente integral: .8 3.1 S³³1-√x -1 x 3 clx

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Q: After performing the long division on x²-4' we can conclude that the integral S = is the same as X…

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Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: We can answer the question as below.

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A: In this question we have to solve the Integral.

Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

Q: * If {an} and {bn} are 2 sequences defined by 5n 5/n +31 ³ an = n and bn = sin-¹ (-) then lim (an +…

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Q: True or False: True O False 5 5 X dx 5 X + +51n|√√x+C

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Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Partial fraction decomposition can now be used to write L{y}, such that all terms have linear…

A: We can find the value of A and B by using the partial fraction method.

Q: Find the average rate of change for the given function over the indicated values of xx. If…

A: Given that  y = -2x2 +5x+1   where 'x' goes from -2 to 6 .     we have to find average rate of…

Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 0 6 O…

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Q: question b

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Q: Find an explicit solution of the given initial-value problem. dy 12-13 y(4) = 4 dx

A: The given differential equation is dydx=y2-1x2-1 and y(4)=4We have to find the explicit solution of…

Q: (a) Find the critical numbers of the function f(x) = x(x - 1)5. X = (smallest value) X = X = (b)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative factor out

Q: Determine the indicated characteristics and graph each function. y = x²(x-1)(2x+3)(x - 5)³ Zeros: 2.…

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Q: Find the second derivative of F(t) = (1 − 2t²)i + (tcost)j – tk. O-1-(2sin(t) + tcos(t)) - (2sin(t)…

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Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

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Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: Σ k=1 20 Τ k!

A: We will use Ratio-Test.

Q: Bookmarks Profiles Tab Window Help a Your Orders X nar21 written assignment 4_MAT-23 X +…

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Q: ion (4 points): Duble integrals below are equ 3x 1 dydx = 48

A: Please refer to the image below

Q: answer #2 using partial fractions

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Q: Determine the equation for tangent and normal at the point with x -coordinate 1 on the curve y = 2…

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Q: Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate lies above…

A: Solution: ∬∫E z dV z = x2 +y2  ,     z =4

Q: Solve the problem. I ) Suppose the demand for a certain item is given by D(p) = -4p2 + 7p+ 5, where…

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Q: an+1 = √√42+ an, a₁ = −42

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Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact…

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Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2,29e-3, 66e-4, 127e-5,218e-6, ii) Calculate…

A: solution is given below

Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Find the power series for f(x) = ln(1 − x) centered at x = 0 by using term-by-term integration or…

A: Given  fx=ln1-x

Q: n n2 + 1 Σ;

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Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: Problem 11 (i) Find the area bounded by the polar curves r = 0 + 1, r = 0+3, 0=0, and 0 = 2 (ii)…

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