4. Consider the integral (a) Draw the region of integration. (b) By reversing the order of integration, find the exact value of the integral. Show all of your work, and circle your final answer. A calculator solution will receive no credit.

Q: y" + y' + 2y = 0, y(0) = y'(0) = 0

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Q: Find the area of the curve r²=16cos(theta)

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: mt) cos(r b) f(x) = /2r(4°

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Q: Total differential. We have f (x, y) = ln (x² + y²) at the point (1, 2). %3D NO CALCULATOR. Evaluate…

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Q: - ydy (y + 1) - J y + 1

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Q: Just algebkaiçal fing the inverse function of f in formally VeRify that f(e10)) =x and

A: Here, to find the inverse of each function and then verify f-1(f(x))=f(f-1(x))=x

Q: (a) The graph of a piecewise function, ƒ (x) is plotted in Figure 1. Discuss the continuity of f (x)…

A: Given

Q: t2+1 = 0 dv Vt- dt V+1

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Q: Consider the following. u = (5, 0, -9), v = (8, 7, 3) (a) Find the projection of u onto v. (b) Find…

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Q: 34. f (г) — 1 ; с34

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Q: 7x - 5. Consider the function f(x) = 7x0 + 8x Enter the antiderivative of f(r) + C

A: Given the function  f(x) = 7x10 + 8x7 - 7x2 - 5. We have to find the antiderivative of f(x).

Q: Using an appropriate lineař appratimation, Feel free to leave fractions in answer.

A: The given approximation 35

Q: 30

A: Here, just to find the angle between F1 & F2.

Q: Find the general solution of the differential equation y" + 3y' – 18y = -66t + 36t?. NOTE: Use t as…

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Q: Use the series approximation to evaluate the integral to within 0.0001. (Answer with 5 decimals.)…

A: Let's find.

Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5…

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

Q: Evaluate the following rational function with the following (a, b, c, and d). 1.…

A: Please see the answer below.

Q: 1 64. f (x) = (1 – æ)*

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Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

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Q: Given: -8 17 sece = -17/15 17/8 -17/8 17/15

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 9y²dy 1+ y*

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Q: w3sec?xdx – (1 – 2w²tanx)dw = 0

A: Let's find.

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: 1 x (In x)3

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Q: Find a polar equation in the form r= f(θ) of the ellipse with eccentricity e= 6/7 such that one of…

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Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: . Determine the values of a, b, and c such that the function f(x)=x²+ax² +bx+c has a y-intercep of 1…

A: Solving question

Q: (v- 2) dy -(x-V=1) dy = 0 ans y- 3 =(2- v) In Icly -2 )I

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Q: How 2 Find the absalute maxima and minima for the funcfion f(x,y) 48xy-32 x - 2u yen the…

A: Find value at critical point and end points.

Q: dy 5. Use Implicit differentiation to find for y cos(xy) = y² +2 dx

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: Find the limit of s(n) as n 00. 1 n(n + 1) s(n) 2

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Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: sint dt de + 0 cos t – tan t

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2…

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Q: PLEASE SHOW ALL YOUR WORK...WRITE YOUR WORK AS NEATLY AS POSSIBLE. 1)Given that : f ( x ) = x3+9…

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Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: How do you take the integral of 2 * sqrt(t^2 + 1) ?

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: Given: I=∫08dxx3   As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1

Q: 9. The region bounded by the given curves is rotated about the specified axis. Sketch the region and…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: 1 dx so that the integral evaluates to - 3x2 integral / Ae2*- 2x³ – 3x² Replace the letter A in the…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Given that the plane contains the y-axis and makes an angle of pi/2 with the positive x-axis. Here…

Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: Find the interval of convergence. 00 (x + 6)" (n In(n))2 n=2 (Use symbolic notation and fractions…

A: limn→∞ an+1an &lt;1limn→∞ (x+6)n+1(n ln n)2(n+1)ln(n+1)2 (x+6)n&lt;1limn→∞ (x+6)n ln nn+1…

Q: Sales of a Product The total number of units of a new product sold t months after its introduction…

A: see below the answer and explanation