Given a function f(x)=x² -3x² – 9x +2. Find the x-intercepts and y-intercept of f(x). Find the interval(s) where f(x) is increasing relative extremum of f(x).

Q: If x – y is an element of the set of positive real numbers, then A.) x > y B.) y^2 y^2 D.) All of ...

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Q: Determine the solution to the initial value differential equation y'+ 8 y2 e4 x 0, y (0) = 9 y (x) =...

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Q: (1) (a) Solve the following: (i) 2 =! (b) The population of the world in 2015 was 9.75 billion peopl...

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Q: at is AY 10 8- 4 2 4 O Area = 10 O Area = 12 O Area = 14 O Area = 16 3 2. 2.

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Q: 2² dz dx dy By converting to spherical coordinates, evaluate

A: Given:  ∫02∫04-y2∫x2+y28-x2-y2z2dzdxdy we need to find following integeral by using spherical coordi...

Q: 3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for Tst...

A: r(t) =(2t-5,sint,-cost)a)r'(t)= (2,cost,sint)|r'(t)| =22+cos2t+sin2t =4+1=5|r'(t)|=5L(c) =∫-ππ|r'(t)...

Q: Figure 2 shows the shaded region S bounded by the curve x = y² – 2y + 1 and the line y = 3. Find the...

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Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: 2x+5 x-1 Solve for the values of x in 323*2 411x+24 and in %3D 64 %3D

A: Given that: 323x2=411x+24        and         1162x+5=164x-1

Q: x5tan(x²) sec²(x²) dx

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Q: The polynomial function f(x)=ax3+ mx2-6x has intergral zeros.The graph of f(x) passes through the po...

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Q: Find the curvilinear asymptote. x4 - x² – 5 (x) x² - 3 y =

A: We will find the curvilinear asymptote of the given function.Below find the solution in the image.

Q: Find the roots of 3√1

A: Find the roots of 13  

Q: polynomial P(x)= x3 + kx2+4x-12 has an x- intercept of -2.The polynomial can be written as P(x)=(x+a...

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

Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: Va – 2 VI + 2 If f(x) = find: f'(x) -| %3D f' (2) = %3D

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Q: Which Riemann sum represents the illustration shown? AY 32+ 24+ 16+ 8+ X 1 2 3 4 4 o 1 2 2x,² i=1 3 ...

A: The points in the curves can be identified as: x=2, y=8 x=4, y=32 So, the curve represents the funct...

Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b) Re...

A: The solution of two parts are given in the next steps.

Q: (y* – 2xy)dx + 3x²dy = 0 a.

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Q: x2 dx + y(x – 1)dy = 0 %3D

A: The answer is mentioned in below step

Q: v(t) = VE – Vt, then find the second derivative, v" (t) =

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Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: Find lim Itcos 2X メ 니(x- 폰) 2

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Q: JESTIUN 8 Use generating functions to find the number of ways to get a sum of 25 when 10 distinct 6-...

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Q: Use logarithmic differentiation to find f'(x) when f(x) = x° Cosx 1ト

A: We have to solve, use logarithmic differentiation to find f'(x) 

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: 2x?+2х+1 15. f (x) = 5х3 +3х-5

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Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4 -2(...

A: Given:        y= x+12x2+1-3

Q: Find the indicated derivative. 11) Find y " if y = 3x sin x. A) y " =- 3x sin x C) y" = - 6 cos x +3...

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Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at) s...

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Q: If f(x) – 5 + 3x 5a, find f'(3).

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Q: Rationalize the denominator.

A: To determine: Rationalize the denominator  of 67

Q: If f(x) = 5xh(=), find f'(7). %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Scos* y sin ydy

A: Given problem:- ∫ cos4(y/2)sin(y/2) dy

Q: 1 Compute E dx 1+Vx

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Q: how do you prove: 1. (-1)*(-1)=1 2. 1 is a positive number. Please answer both subparts if you un...

A: To prove: 1. (-1)*(-1)=1 2. 1 is a positive number.

Q: 1.Determine the line limit {an} = 37 (2cos ! en

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Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

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Q: 3. Use the definition of continuity and the properties of limits to show that the function is contin...

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the ...

Q: Which Riemann sum represents the illustration shown? 3 6. 3 X; · Ax¡ 3 i=1 Xi Ax; 3. X; - Ax; 1//3 2...

A: Given÷

Q: Problem 5. In this problem, you wil fnd the volume of the solid genorated by revolving the reogion b...

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Q: Form a polynomial whose zeros and degree are given. Zeros: 8, multiplicity 1; -3, multiplicity 2; de...

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Q: Find the volume of the parallelepiped defined by the vectors й%3 (3, —1,4), ѣ —D (2, 1, —2) and й %3...

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Q: Solve the differential equation with appropriate method. Express final answer with a coefficient of ...

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Q: Find the derivative of the function. 8) q =V10r - 15 -5r4 A) - V10r -15 B) 2/10r - 15 C)- 2/10 - 514...

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Q: 1. f(x)=5**1

A: Answer: the solution is as given below :   

Q: (b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% p...

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Q: emand Function for Desk Lamps The demand function for the Lumin. esk lamp is given by p = f(z) = -0....

A: Given query is to find the the derivative of the function.  

Q: Simplify the product. V3• /27 V3. V27 =O (Type an exact answer, using radicals as needed.)

A: This question is based on simplification of root.