Subject: Integral Calculus

Q: = Assuming that y = - sec(xy). It will follow that y' Select one: True False y sec(xy) tan(xy) 1-x…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Evaluate cos(x) - 1| dx.

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Q: 1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the…

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Q: Find d da (36x + 4)

A: We have to determine derivative

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: Hiws find the integral of the Pouction fix y1= over the region betwein the twe circles of rading 2…

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Q: Find thearea bounded by x=y^2 and y=-x^2

A: The region is bounded by x=y2 and y=-x2

Q: Find f, f, f. fx= f(x,y,z)=x-√√√²+z² (Type an exact answer, using radicals as needed.)

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Q: fx ax dx

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Q: Find the first five non-zero terms of the Taylor series for f(x) centered at x = 2. Written…

A: In order to find the first five terms, we need to apply the formula of Tailor's series entered at 2.

Q: The graph of the equation x2/3 +y2/3=52/3 is one of a family of curves called astroids because of…

A: solution:-equation of curveastroid x2/3+y2/3=52/3the length of half the first-quadrant portion…

Q: 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x -x². 2 3 sorun oyng…

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Q: -1. For the function f(x,y,z) = sin '(xyz), find fx, fy, and f₂. fx (Type an exact answer, using…

A: Given query is to find indicated derivative.

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis.…

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Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

Q: From a certain instant, a right circular cylinder has a radius of 10 cm and altitude of 15 cm.  At…

A: This question is related to rate of change, we will solve it using given information.

Q: Evaluate the definite integral. 16 (10y√y +9√y) dy 16 jo (10y√y +9√y) dy = (Simplify your answer.) 4

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Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (1, 60 degrees) 2. (1, 300…

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Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the given…

A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: Please answer this, both parts; thank you!!

A: Here ia am providing my handwritten solution

Q: Calculate the value of cos8π° using two terms of the appropriate series. Compare with the value…

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Q: Let P be the point in 3-space with rectangular coordinates (√2, -√2, 2√3). (a) Cylindrical…

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Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 4₁ x3 = 7, x4 = 10, and Ax= 3. 4 (a) Find Σ f(x;) Δx. i=1 (b) The…

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Q: An electric elevator with a motor at the top has a multistrand cable weighing 7 lb/ft. When the car…

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Q: Given cost and revenue functions and C(q) = 117q+44000 and R(q) = -3q² + 2700q, how many items must…

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Q: Solve each of the following problems completely. Draw the complete figures for each question. 2.…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: Given query is to find integral converges or diverges.

Q: 3. Let R be the region bounded by the curve y = √√x, the line y = 1, and the y-axis. Use the shell…

A: We need to find volume.

Q: 7) Find the absolute maximum and absolute minimum values of f(x, y) = 4x+6y - x² - y² on the set of…

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. The volume…

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Q: PROBLEM 3: 00 Consider the set S= = {A€M₂×3 ×3 (R): A = -[880] where a > 0, b>0, with the usual -0,…

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Q: . Given the triangle below, find the value of b to the nearest tenth. 33 1 b 110 6.2 units O 3.4…

A: We have to find the side

Q: recurrence relation for the sequence {dn} that gives the amount of drug in the blood after the nth…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: We have to find the rate of change of surface area.

Q: Completely factor and find the zeros of the function (x)=6x¹-11x³-51x² +99x - 27 Describe the…

A: To find the factors and zeros of the function.

Q: Solve the following equations:* y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: answer is in next step

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: ecosh z √x+1 Let F(x) S 1. Find F(0). 2. Find F'(x). sin(1 t) dt.

A: Let's find value of given function.

Q: 490 B

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Q: polar integral to find the aren enclosed by the three-petalad rse 2) Use t r = Sin 3E

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Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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Q: Given cost and price (demand) functions C(q) = 140q+47,300 and p(q) = -2.6q+800, what price should…

A: We need to find  revenue.

Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Sa -1 dx (1+x²) 12/2

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