Sketch the curve y = x* - 6x? and show intercepts, maxima and minima and points of inflection.

Q: 15

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Q: If R is the region enclosed by 100 – 4x2 - 4y2 = 0 and 9x2 + 9y2 - 36 = 0, then which of the…

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Q: Describe the surface. x² + z? = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

A: The given surface is: x2+z2=7

Q: 2x, The graph X;+1° (Continue) Consider the discrete time dynamical system X†+1 = of the updating…

A: We have to find the positive fixed point stable or unstable.

Q: Prove the identity. 1 + tanh(x) – e2x 1 - tanh(x) 1 + cosh(x) 1 + tanh(x) 1- tanh(x) 1 - cosh(x)…

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Q: each of the problems, solve the given differential equation. 1. y` = x2/y

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

Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: Sx(x² – 3)11 dx

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Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Consider the initial value problem y'(t) = t² - 3y, y(3) = 1. What is the approximation to y(3.1)…

A: Here we have to use the Euler's method.

Q: In solving the antiderivative of (x)= sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: The given function,        fx=1sinx+3cosx+3

Q: Learning activity: Plot the points (x,y) and draw a smooth curve defined by the parametric equation:…

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Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

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Q: Define f(0,0) in a way that extends f to be continuous at the origin. 6x² -x²y² + 6y² x² +y? f(x,y)…

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Q: In solving the antiderivative of f(x) = sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: Given the function,        fx=1sinx+3cosx+3

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: Find two unit vectors orthogonal to a = (-5, 2,2) and b = (5, 4, -2) Enter your answer so that the…

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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Q: Find the indefinite integral using the formulas from Theorem 5.20. (Remember to use absolute values…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)>0 for every x on some interval I , then f(x) is increasing function . If f'(x)<0 for…

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: IV-x2+4x + 5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A (1–…

A: Solve the given

Q: uestion 9 Saved t is possible for y = f(x) to have an inflection point at X = A even if f (a) is not…

A: Given query is to find that statement is true or false.

Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 dy dx dy = -2(x + 1)(x2 + 1)-4(2x2 + 3x – 1) A) B) Y…

A: We can find the correct answer as below.

Q: R={ (x,y): 0<x, 0<y, x²+y? <9} be enclosed region. The result of the following double integral (by…

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Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

A: To find the value of given double integral.

Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

Q: 11) у - еx4 In x ex4 + 4x4 ex4 In x A). + 4exª In x B) 4x4 ex4 + 1 C) D erg + 4x3 ex4 In x

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Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is…

A: Given problem:- A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per…

Q: If ∫3 6 (5f(x)+2)dx=14, then ∫3 6 f(x)dx=

A: ∫ab fx±gx dx = ∫ab f(x)dx ± ∫ab g(x) dx

Q: Evaluate the integral. (Use C for the constant of integration.) 3 dx x(xА + 2) Need Help? Read It

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Q: Consider the function below. f(x) = -4x2 + 24x + 4 (a) Find the critical numbers of f. (Enter your…

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Q: Find the producers' surplus at a price level of $15 for the price-supply equation p=S(x)=6+0.01x2…

A: We have to find the producers' surplus.

Q: x dx 24) (7x² + 3)5

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Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: Find the integral. 21) + e3t) dt

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Q: Find the angle between the vectors u = - 4i + 6j and v = 4i - 3j - 5k. The angle between the vectors…

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Q: Find the absolute maximum and absolute minimum values of the function S(2) = * + r f(x) for 1 < x <…

A: Given problem:-

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Evaluate S. F dr where F(x, y, z) = e'i+ (xe + e²) j+ye²k and C is the line segment from (0, 2, 0)…

A: answer is in next step

Q: У(2 — 2х)100 — у — хz; ху and yz.

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Q: evaluate indkfinite intersal

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Q: Find the derivative of y. 30) y = In (sinh 5x) D . sinh 5x A) coth 5x B) 5 csch 5x C) 5 coth 5x

A: We can answer the question as below.

Q: (1 + Зx) dx

A: We have to evaluate the integral