Find the area of the region enclosed by the curves between their intersections. y=-3x² and y= -√√x

Q: Find the open interval(s) of f (x), graph given below, where f'(x) is negative.

A: We need to find interval notation where f'(x) is negative.

Q: The function y = f(x) is graphed below. Plot a line segment connecting the points on f wher -6 and x…

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Q: +x-2xy) ds once around the circle x² + y² = 4, z = 0

A: ∮C(2+x−2xy)ds once around the circle x2+y2=4,z=0x2+y2=4Using parametric…

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges + 9 32 + 27 81…

A: 1 \text{or r is infinite, the series is divergent. }\\ &\text{If }r=1, \text{the test is…

Q: Find the following for the vectors v = 11i +2j-10k and u = 5i + 12j. a. v•u, |v|, |u| b. the cosine…

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Q: Find, where y is defined as a function of x implicitly by the equation below. x² + x¹y³ = -3 Sorry,…

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Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u 91 V 9j W 9k The volume of…

A: To find the volume of the parallelepiped​ (box) determined by .

Q: Find the first four nonzero terms of the Taylor series for the function shown belo (1-x)-3/4 The…

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Q: Calculate af ax af Əy = af af af af ax' ay ax (1,-1) ду f(x, y) = e0.9xy = ax (1,-1) af ay (1,-1)…

A: f(x,y)=e0.9xy

Q: Evaluate the integral ftan¹ (x)sec (x) dx . O sec³(x) 5 O O tans (T) 5 O O None of these tan³ (x) 5…

A: find which method is use for integration.

Q: Evaluate the integral s sin³ (3x) cos³ (3x) dx . Osin¹ (3x) sin (3x) + C 12 18 -

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Q: Find the x and y coordinates of all inflection points. f(x)=x² +27x² What is/are the inflection…

A: The objective of this question is to find the inflection points of the function f(x) = x² + 27x².…

Q: Consider the solid created by rotating the region under y = 1/x for 1 < x < ∞o about the x-axis.

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Q: Values of f(x) at selected values of x are shown in the table. X 2.75 2.9 2.99 3.01 3.1 3.25 f(x)…

A: Consider the table

Q: A photographer points a camera at a window in a nearby building forming an angle of 42 degrees with…

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

A: The objective of this question is to find the maximum revenue, maximum profit, the production level…

Q: Find af Әx af ду af дz af and Әх ду дz = ду = Find their values at (0, -1, 1) if possible. (If an…

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Q: Evaluate the indefinite integral above. /-x+11dx

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Q: Determine which test can be used to show that the series (a) Geometric Series Test (b) p-Series Test…

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Q: Use implicit differentiation to find dy/dx. 7. x²y + xy² = 6

A: As per Bartleby guidelines we can solve maximum one question ,you can repost other question

Q: 16) Use Newton's method to approximate the indicated solution of the equation correct to six decimal…

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Q: ,11 h(x) = x¹¹ arcsec(x).

A: h(x)=x11arcsec⁡(x)h′(x)=ddx[x11sec−1⁡(x)]Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/hand ship B is sailing…

Q: Find the angle between the vectors. u= -2i+4j, v = -2i+6j-5k The angle between the vectors is 0…

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Q: vẻ t-58 2x d) lim-

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Q: 5. The accompanying figure shows a portion of the graph of a twice differentiable function y = f(x).…

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Q: 40 b) lim- 0-0 tan(20)

A: To find:-

Q: 3. Solve the differential (a) xy' +2y = cosx, (b) y' + 2xy = 3x equation. x>0 colution of the…

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Q: Question The graph of function f (x) is shown below. At which value of x is the slope of the tangent…

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Q: Find an equation of the line tangent to the curve given by x = cost, y = sint at the point (16 16

A: x=cos4⁡t,y=sin4⁡t at the point (116,916)Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Find two nonzero positive numbers whose product is 169 and whose sum is a minimum. The numbers are

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find two numbers whose sum is 9 and whose product is a maximum. The two numbers are (Simplify your…

A: The objective of this question is to find two numbers whose sum is 9 and whose product is a maximum.…

Q: Evaluate the integral fe³* cos(2x) dx O(3e³ cos2x - 2e³ sin2x) + C O(3e³ cos2x+2e³ sin2x) + C 13…

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Q: Sketch the region enclosed by the curves y = 1- cosx, y = sinx, x=0, x= π/2. Find the area, A, of…

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Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 6. Use the…

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Q: 1 Estimate the area under the graph of f(x) = x+2 rectangles. Round your answers to four decimal…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A 10-ft-tall fence runs parallel to a wall of a house at a distance of 30 ft. Find the length of the…

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Q: Match the graph off with the correct sign chart. Now, use all of the gathered information to choose…

A: A graph of the function is given.The aim is to find the sign chart of the derivative function.

Q: 15) Find S X √9+8x²-x² dx

A: We need to determine indefinite integral.

Q: 6. Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

A: We have to find the values of constants a, b, and c such that the graph of has a local maximum at x…

Q: 36. a(t) = 2t (t² + 1)² ; v(0) = 0; s(0) = 0

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Q: Find § x· e¹×²³dx ¸

A: Given that a function of x and we find this integration by using general property of integral.

Q: How long will it take to double an investment at 4.7% compounded continuously! nearest tenth of a…

A: Investment=PRate(r)=4.7% or 0.047A=2PTime(t)=?The formula is given by,

Q: Question Determine f'(x) if f(x) = x¹0 arcsec(x). Provide your answer below: f'(x) = [

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Q: Let f be the function defined as f(x) = { 1 3x-4 for x <3 for x ≥3 Which of the following statements…

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Q: Two sides and an angle are given below. Determine whether the given information results in one…

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Q: 5. 0 sin x 1-x² dx

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Q: 3 is given by f³√1+16x² dx. If the curve contains the point (1,5), which of the following could be…

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Q: 8) A triangle has base 10ft and the height 6ft. What is the area of the largest rectangle inscribed…

A: We have to find the largest rectangle inscribed in a triangle.we will need to maximize the area of…

Q: Suppose that a function f is defined by f(x) = f*" (e-t³+3t)dt. Determine the intervals on which f…

A: f(x)=∫0x(e−t3+3t)dtLeibnitz Integral Ruleddx∫g(x)h(x)f(t)dt=f(h(x))h′(x)−f(g(x))g′(x)