x2 — бх + 9 Убх — х2 хр

Q: Water fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). s r(t)…

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Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

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Q: y II. y f'

A: Only one point is able to distinguish between the curves.That is f'(x)=0when f'(x) crosses 0 whenf…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given that: Vertices: (3,5), (3,-5);             foci: (3,8), (3,-8)

Q: Solve the given initial-value problem. xy' + y = e*, y(1) = 8 y(x) = Give the largest interval I…

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Q: A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that…

A: Here is the solution:

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A: We have to determine the sum of the given convergent series.

Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

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Q: 3 Find the limit: lim t 3 et – 1 - (Enter undefined if the limit does not exist.)

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: L Sketch the plane curve by plotting points. Indicate the orientation of the curve. (Hint: Create a…

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Q: Check if the following series are convergent or divergent. ∑∞n=1=1/kn, k>1…

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Q: Consider the following function. f(x) = x sin(x), a = 0, n = 4, -0.6 s x S 06 (a) Approximate f by a…

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Q: Consider the function f(x)=4x+1. (a) Estimate the area between the graph of f and the x-axis between…

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Q: flx)= x-x 3! %3D 5! 7! f'(x) = 1-x %3D 21 41. 6 ! 2. Drove that

A: fx=x-x33!+x55!-x77!+.......f'x=1-x22!+x44!-x66!+........

Q: 3n+1 Σ 6n-1

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Q: 58. y dA y x= y- y³ y= (x+ 1)² -1 -1

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Q: Vx2 – 4 dx x3

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 12 Given that sin(0) = -3, and 0 is in Quadrant III, what is sin(20)? 13' Provide your answer below:…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: To find the directional derivative of the function at P in the direction of v.fx, y, z=xy+yz+xz, P1,…

Q: Suppose that c=41, a=57, and C=27°

A: answer is in next step

Q: The acceleration function (in m/s?) and the initial velocity are given for a particle moving along a…

A: We have to find value of v(t) and x(t)

Q: B. Evaluate the following .5 S lx? -x-6|dx - x - 6|dx -5 1.

A: We need to evaluate integral,  NOTE - As per Bartleby's guidelines we can solve only 1 question from…

Q: sec (t) – 1 sec2 (t) Simplify to an expression involving a single trig function with no fractions.…

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Q: x"+1 has the radius of 5, then the radius of convergence of the If the series >. "n+1 n=1 series a…

A: To solve the following problem

Q: Find all solutions of cos (z) = %3D

A: Solution of cos(x)=cos(y) isx=2kπ±y

Q: Given the following power series, use Alternating Series Test to prove that the series converges…

A: We have to check for x=11 given series is convergent.

Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 13 for time t > 0. If the…

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Q: PROBLEM 31l i Show that f(r, y) = r* + y - 3r - 2y defined for z > 0: y > 0 is strictly convex and…

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Q: Question If 0 < 0 < 2n and 4sin 0 – 4 = -3, determine the values of 0. List your answers as exact…

A: Answer: The solution is as given below:

Q: dx J (x² – 25)5/2

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Q: 6z* cos (r*) dr-

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t – 6t for time t > 0. If the…

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Q: 6х — 8г? — 5 dx (2х — 1)(4г? + 1)

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Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

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Q: ` log x dx

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Q: Find the area ef"l fhe Shaded reghon a/2

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: solutions

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Q: dx (x2 + 1)(x2 — 2х + 1)

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: Consider the function f(x)=x^2−4x+1 on the interval [0,4]. Verify that this function satisfies the…

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Q: +00 (5 – 4(ln n)*)" Σ (V3. In n)3n n=2

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: 2x3 – x² + 2x – 2 dx x²(x² – 2x + 2) - -

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: Identify and sketch the graph of the following equations in R. (a) a2 + 2y? + z2 – 8x + 12y – 2z +…

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Q: Va2 – 4 dx

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