Determine the intervals on which the function is concave up or down and find the value at which the inflection point occurs. y = 11x³5x4

Q: cos 2t cos 5t 8 S³ + 29 (s² +49) (s² + 9) Option 3 S S s² + 49 s² +9 Option 2 O None of the Choices…

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Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

Q: 1. Find the volume of the solid generated when the region bounded by y = ex, x = 0, x = 2 and the…

A: Note: As per our guidelines we are instructed to solve only one problem. Hope you understand.    The…

Q: The area cut off by the x-axis and the curve y = x2-3x is rotated about the x-axis. Find the volume…

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Q: [CLO-2] Evaluate the improper integral. 8 √₁² (0-²x + ₁ 72² 2² ) ₁ dx 1 1+x²

A: Follow the procedure given below.

Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

A: We have to find the volume of the solid of revolution generated when the area described is rotated…

Q: Consider the equations 2x - A) x² - 2x x³ +8 0 and B) = 0. x³ - 8 Which of the following statement…

A: We can find the answer in the following steps.

Q: SORRY {CLO-1} Determine the horizontal asymptotes of the given graph. +8fx₁ 4 12-10 Oy=2 colorwa…

A: In given graph  ,it is easy to find a horizontal asymptote by visual inspection. Observe by starting…

Q: If à = 3ai +4j-k and B = 4i+j−3k, find the value of a if A normal to B.

A: Given vectors A→=3ai+4j-k and B→=4i+j-3k

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Q: For numbers consider a plane bounded by the curve y = 4-x² and the x-axis. Which of the following…

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Q: valuate lim a. 12 b. C. d. +∞o t4-12 t-18 t3 0

A: The given problem is solved below in detail.

Q: 5. √√64 .05

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Q: Laplace transform of the following functions a) cos2tcos5t b) cos3t c) (e^(2t)-e^(-2t))^2

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get…

Q: 0 2 -28 $² -2s e 8² -2s S O Option 3 -28 8 Option 1 -28 8 1 S 1 S 1 S + 82 O None of the choices e²s…

A: The answer is given below:

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Get the second and third derivative of function: y'= 3x^2y^2

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Q: Evaluate lim f(x) using the graph of f. x→-4+ -6 10 2 6

A: This question is based on limits and continuity.

Q: 1. Find the area bounded by the region y = 3x + 1, x=1, x=3 and the x-axis.  a. 8 b. 11 c. 14 d.…

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Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: 2 3s + 9 Option 4 Option 2 -3t e 2 3 e 23 c -34 3 None of the choices 3 -34 2 Option 1 e

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Q: 1. Solve the following equations: c) (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

A: Let's find rate of change in the given direction.

Q: f(x)-f(1)_3, then lim ¸ƒ(1+h)−ƒ(1) _3. x-1 h If lim: (a) (b) TRUE FALSE

A: Solution of given question is written in below steps.

Q: Obtain the output for t = 1.22, for the differential equation 2y"(t) + 27y(t) = et + et :y(0) = 0,…

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Q: 1-12 Find the area of the surface. 1. The part of the plane x + 2y + 3z = 1 that lies inside the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: (-2, 39) -4 10 20 10 10 -20 89 -30 1 (14) (27) 23 Solve the following problems. A. Given the graph…

A: Given ,  Graph of function (4) We have to tell local minimum value

Q: [9] Q4)(a) Find the maximum eigen value for the system 4 = x (0)=(0.02991) with initial vector

A: Follow the procedure given below.

Q: dy dt y = (t tant) ¹ Find 11

A: y= (t tant)11 y= t11 tan11tUsing formula ( d(uv) = uv'+vu' )diff w.r.t "t"dydt=t11.11tan10(t) sec2t…

Q: 3. LLa (x + 2y) dy dx

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Q: Laplace transform of the following functions a) cos3t b) (e^(2t)-e^(-2t))^2

A: Let's solve laplace transform of given function.

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

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Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

A: We have to find the inverse Laplace transform of 1s3-s. At first we find the partial fraction of the…

Q: A point P is moving along the curve whose equation is y=√√x³ +17. When P is at (2,3), y is…

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Q: 2) Find the average value of the function f(x, y) = 6x + 4y over the plane region R. defined by the…

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Q: The average rate of change of f(x) = cos(x) with respect to x as a changes from 0 to π is 2 OOO 2 -2…

A: We have to find the average rate of change.

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

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Q: 6 Consider the three by three system of linear equations 2x + Y + + 2y + 2z 5z 12. We will solve…

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Q: Find the particular solution (D² + 4D + 4) y = 0 when x = 0, y = 1 and y' = -1 What is the general…

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Q: {CLO-1} Find the values of a and b such that the following function is continuous everywhere. ax²-a…

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Q: y=x² - 4x and y=-x²+2x.

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Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

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Q: 8. 9. 10.¹₁²(x² (2-y)dy dx π/4 /²x cos y dz dx dy + y² + z²) dx dz dy

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Q: S0³ (0+2) de -3

A: ∫θ-3θ+22dθ

Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: 2 (e²t-e-2) ² 32 s(s² + 16) Option 4 32 s(s² - 16) Option 1

A: Given :e2t-e-2t2

Q: The proper way to evaluate f(x + h) for the function f(x) = 3x²-x+4 is f(x + h) = 3(x+h)² - x +h+4…

A: Topic:- function

Q: Obtain the general solution unless otherwise instructed -24 y'"' + 4y″ + 9y' + 10y = ² when x = y =…

A: Given

Q: Assuming that z is a differentiable function of x and y, Let F(x,y,z) = ln(x²y) - e* -tan-¹ z. Find…

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Q: Evaluate the triple integral zdV, where E is bounded by the cylinder y² + 2² = 4 and the planes z =…

A: Given problem:- Evaluate the ∫∫∫E z dV, where E is bounded by the cylinder y2+z2=4 and the planes z…