(In x)³ 13 dxp

Q: dy +y=e' xp

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Q: r = 5 + 4sine * circle rose inner loop cardioid dimpled convex spiral lemniscate

A: r= a+b sin x  Is an standard form of cardioid

Q: 1 dx – 1 /3

A: The given integral,       ∫3∞1x-1dx

Q: 5-(1+x')(dy-dx)= 2.xydx;

A:

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: Solve the right triangle. Round your answers to the nearest tenth. A = 0- D. 56 22 A

A: Given, Right triangle  theta=56° adjacent =a opposite =b hypotenuse = 22

Q: whereas Problems 2 and 3 are about determining this information algebraically. A hint for Problem 1:…

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Q: Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel…

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Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x2 from x = 5 to x…

A: Explained below

Q: In Exercises 36–57, determine whether the series converges. 36. ) 37. E n+1 n³ n=1 n=1 (-1)²-1 n+1 2…

A: NOTE: Refresh your page if you can't see any equations. . here we have here f(n) is positive,…

Q: What is the general solution to the differential equation x de = y + y cos x ?

A: Let's find.

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

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Q: Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3, –3,3,–3,3,.. 3. 1,5,2,…

A: Since this is the multiple subpart question, according to the Bartleby Answering rule, only first…

Q: t) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A: solution

Q: 7 In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand…

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Q: How many different words (real or imaginary) can be formed using all of the letters in the word:…

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Q: 8. (LO 8) A 10-foot ladder is leaning against a high wall. The base of the ladder starts to slide…

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Q: A robotic machine fills containers with an acid solution at the rate of 90 + 3t milliliters (mL) per…

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Q: 5. (x²y + sin æ) dy, Cis the arc of the parabola y = r² from (0, 0) to (7, n²)

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Q: Which of the following is the inverse of the functionf : [0, ∞) → [3, 0), f(x) = 2.x² + 3? Select…

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Q: |3 cos 2.r dx 3.

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Q: nt) Let I be the length of a diagonal of a rectangle Whose Sides Rave lengins If increases at a…

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: Find the total area of the region between the x-axis and the graph of y = - x´ - 3x, - 4 <x54.

A: Given query is to find the attached area of the region.

Q: 1 The series > is convergent. (Зп + 1)(3п + 4) n=1

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Q: [2] Find the infinite sum S below consisting of the terms of a geometric sequence. 1 S= -- -+ 4 8.…

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Q: Use the Log Rule to find the indefinite integral. (Remember to use absolute values where…

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2y + 36x + 11 over the closed region…

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Q: 14. (a) If f and g are continuous functions on [a, b] with f> f g for every xe [a, b], must it be…

A: Solved below

Q: Derive the Maclaurin series for f(x) = Cos x. Calculate the radius of convergence. What is the value…

A: The given function is : f(x)=cosx.

Q: The design department of a shipping company is constructing a box in the fo of a rectangular prism.…

A: Given problem:- The design department of a shipping company is constructing a box in the fo of a…

Q: A hot air balloon sing vertically is tracked by an observer located 3 miles from the lift-off point.…

A: let the height at that moment is h miles.

Q: Use the Ratio Test to determine the radius of convergence of Eo . x" (Use symbolic notation and…

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Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x- 40y – 200 = 0 !!

A: Given:     153x2-192xy+97y2-30x-40y-200=0  We have A=153, B=-192, C=97 So, cot2θ=A-CB=153-97-192…

Q: For the spring semester 2009, part time students at a college paid $486 per credit (unit or hour)…

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Q: Determine whether (1+2)"}. u d Converges or diverges. n=0

A: Use the nth term test for the series divergence.

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

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Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

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Q: 5 dz Evaluate the integral: J1" (2+3z)³ (2+3x)³ O 22 O None of these 30 15 Clear my choice

A: Given query is to find the value of the integral.

Q: 3. Solve r"(t) = subject to the initial conditions: r(0) = and r'(0) =

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Q: 54) Which of the following series converge? n2 + 2 a) Σ п3 — п +5 n2 + 2 b) L n5 -n+5 п5 — п n=1 00…

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Q: | e" sin® (e") cos" .7 (e²)dx

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Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: an open box is to be made from a 2 foot by 3 foot rectangular piece of metal by cutting equal…

A: V(x)=length*width*heightV(x)=(2-2x)(3-2x)(x)V(x)=4x3-10x2+6x

Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence…

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Q: d²y #3. Find if x' + y' = 9 dx? |(-1,2)

A: x2 + y3  =9 now differentiate it  2x + 3y2(dy/dx) = 0 dy/dx = -2x/3y2 now agian differentiate with x…

Q: xedx (1+ x)²

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Q: x2 4. a) Determine whether Rolle's Theorem can be applied to f(x) [-2,2]. (Enter 1-х2 your answers…

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