In5 x ,2 limx→+00

Q: .Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not…

A: Solution: The train..........at 12 PM

Q: S²₁ A Select one: dw w√w²+3 a. 0.0128 O b. -0.0234 0 с. c. -0.0128 O d. 0.0234

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Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0

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Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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Q: Subject: Integral Calculus

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Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY:  y=x^2+1, x=0, y=0, and x=2…

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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: Problem: 1. Find the area bounded by the curve y = x² and the line y = 6.

A: Given query is to find the area bounded by the curve.

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: 7. S√4x²+9dx

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x + 1…

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

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Q: NIFN dx √2x (√2x + 9)

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

Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

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Q: A forest has a population of lynx and a population of rabbits. Let x represent the number of lynx…

A: Let's solve given diffrential equation.

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (3, 225 degrees

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given a surface z = 9x² - y². = (a) Find the volume of the solid lying under the surface and above…

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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: answer is in next step . please give a like

Q: √x³√1-x² 2

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

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

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Q: determine the instantaneous rate of change in: a. surface area of spherical balloon (as it…

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

A: The domain of a function  f(x) is the set of all possible values of x for which f is  defined. The…

Q: Evaluate ³9x³y² dydz Select one: a. 3360 O b. 1280 OC 2245 O d. 652

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Q: Find the area of the surface obtained by rotating the curve }=2,3 from z = 0 to z = 1 about the…

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Q: Water running out a conical funnel at the rate of 1 cu. in per second. If the radius of the base of…

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Q: A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating…

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Q: b. lim x->0+ -3/x 2 X²

A: A detailed solution is given below.

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

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Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume…

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Q: 15 Find the area f the surface generated by revolving x= 4√/1-y, 0sys. about the y-axis. 16 The area…

A: The given problem is solved below in detail.

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

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Q: 5. fx³√√4 - 2x² dx

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Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: Let L(c) be the length of the parabola f(x)=x² from x = 0 to x=c, where c20 is a constant. a. Find…

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Q: 10 = (+5x)dx 45x+9 -1 7/4 52 (+9) + 48 (x+g)' f(x+9) + 2

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Q: 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when…

A: We know that volume of the balloon is V=43πr3                          (1) Given that Spherical…

Q: Sx". .n-1 +n[x²= x" sin x dx = -x cos x + n cos x dx

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Q: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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Q: find the derivatives: 1. y= (tan x)/ (1 + tan x)

A: Solution: 1. y= (tan x)/ (1 + tan x) y'=ddxtan x1+tan x

Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

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Q: Solve the following equations: (D3³+ 3D²+ 3D + 2)y = 0

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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: Without using the graph, determine all critical points of e2x − 2x and classify them as local max,…

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Q: Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the…

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Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,∞)

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Q: apn below, state whether Graph 1 2- -8 -2 O Yes Graph 4 8. 4 OYes O No 6. 2+ O No resents a…

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Q: x³ +7x X-00 √4x³+5 Find the lim

A: A detailed solution is given below.

Q: 1. Find the second derivative of the parametric equations_x = a cost and y = b sin t

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