Find the volume of the solid generated by revolving the region in the first quadrant bounded above by the curve y = x2, below by the x- 1 about the line x = -1. axis and on the right by the line x = Ans: 7π/6

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A: We know, [f∘(g∘h)] (x) =fghx

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Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: need

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

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A: We need to perform integral.

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Q: 3. a) Consider the system k-2 4 [ 0 k-2 0 0 Find the value(s) of k such that the system has only one…

A: As per bertleby guideline I have to solve only question 3 with subparts. For answer to others…

Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: 3. Consider the function Prove that f'(0) = 0. f(x) = [2³ -2³ if r EQ if x # Q.

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Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: 21 Зл 18. If sin = and ≤0<- then tane is equal to: and s 29 2 2 21 A. tan 8 = = 21 20 B. tan 0 = --…

A: Given, sin(∅)=2129 , π2&lt;∅&lt;3π2

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A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: Given the function z = f(x, y) = 3x² +6xy + y² + 8y, find the following: a) Find gradient at (-2, 3)…

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Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: Solve the following equations for x: a) 2e6x = 18 b) c) d) e) In x²: In x f) Inx² - In 25 2 And…

A: (a) 2e6x=18 e6x=9 Taking ln both side we get lne6x=ln9 6x=ln9 6x=2ln3 x=(1/3)ln3 x=0.36620…

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Q: Evaluate the integral. (Use C for the constant of integration.) /1+√x ox dx

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out and radius of disturbed…

A: Here we have to use the concept of the derivatives

Q: redz S Find (1+2)² Itse DOCE 14e² +C +C +C +C

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Q: Evaluate: (answer in fractional form så S sinº x dx 0

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Q: both answer are not correct.

A: Let's find beam of light moving along the shoreline.

Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of zo will the solution…

A: This question can be solved using the concept of differential equation.

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Q: 6. Find the Laplace transform of each convolution using the theorem C{f*g}=F(s)G(s). a) C {t³ * est}…

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Q: Find S ³+1 ln ||+C In In | +C √²+1 None of the Above In||+C

A: We know, ∫dx/x= ln|x| ln|a| - ln|b|= ln|a/b| n*ln|a|=ln|an|

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Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain of…

A: Note that, an asymptote is a straight line that constantly approaches a given curve but does not…

Q: - be to your advantage to simplify first.

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: 5. To obtain f¹(x) = -x +3+5, the domain of f(x) must be: A. x≤5 B. X25 C. x≤-3 D. x≥-3

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

Q: kx +5 for x ≤ 2 Let fx = = x-1 for x > 2 Find the value of k for which f(x) is continuous at x=2.…

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Problem 8. Find critical numbers of (1) f(x)=2³-3x²+1, (2) f(x)=³/5(4-x).

A: Given :f(x)=x3-3x2+1f(x)=x35(4-x)

Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: the square. Be sure to show all Solve the following equation by steps and round final solutions to 3…

A: Given equation  6x2+24x-18=0Here a=6, b=24, c=-18Use quadratic formula with a=6, b=24,…

Q: 6. Graph the parabola described by y = -4x² + 10x + 12. (Be sure to show vertex, x and y intercepts…

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Q: What function will you differentiate to get each function? 2. f(x) = 8x7 - 4x³ + 2x - 3

A: dxndx =n.xn-1

Q: Find the interval on which the curve y = - -∞, 6 dt is concave upward. (Enter your answer using…

A: We have to find out

Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

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