The function f (x) = – 2x3 + 33x? 168x + 9 has - one local minimum and one local maximum.

Q: Consider an autonomous differential equation dy (y² – 9)(y +5) da Sketch the direction field of this...

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Q: 3. The volume V of an ice-cream cone is given by combining the volume of a right-circular cone with ...

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Q: x(2x+3) 17. f(x) =- (x° +1)

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Q: Vx + Vy = 4 find the third derivative

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function f(x) ...

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Q: The integration expression sin(3In(x) + 4)cos(3ln(x) + 4)dx must be transformed into using suitable ...

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Q: Find the surface area of the tetrahedron bounded by the coordinate planes and the plane 8x + 12y + 4...

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Q: solutions using Integrating Factors Found by Inspection a. ydx + 2(y^4 − x)dy = 0 b. y(x^3 e^xy − ...

A: A detailed solution is given below

Q: 3

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Q: -5 -4 -3 1 2

A: An inflection is point where graph of function change its concavity 

Q: The integrals can help us to find the area under the curve. Select one: OTrue O False

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Q: 5. lim f(x) = +0, lim f(x) = 0 and f(-1) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3D -1+ ...

A: Note: As per our company's guidelines we are supposed to answer three sub-parts of the question. Kin...

Q: dy TC * of y = In [tan (G +)1 dx

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Q: 2.) f(x) = x* – 2x² + 3

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Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x) Ans...

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Q: x-1 11. lim x² + 3x + 4 X-1 D. 8 17

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Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: If y = 2u – 3(u² – 3u)* 3 (u² – 3u) and U = Vx –1. Find | | dy when x = dx 17

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Q: x + 6|, if x - 1 x² – 3x

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Q: Evaluate limr→∞ -8x³+10x 7x-x2 2 8.

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Q: [-1 3 -11 12 2 [13 17 61 B =-1 -4 2 1 -2 31 19 9. C =| 20 A =5 2 7 -9 10 2 2 -5 -3 -1l -4 -11 1 -10 ...

A: Note: As per our company guidelines, we are supposed to answer the first three subparts of the quest...

Q: 5. Let a = (-2, 3, 5) and b = (4, 6,-1) define the sides of a parallelogram as shown below. Dotormin...

A: Area of parallelogram

Q: 1.) f(x) = 2x³ + 3x² – 12x – 7 %3D |

A: We can sketch the curve  of a function by using the first derivative and second  derivative .

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 4 %3D 00 f(x) =...

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Q: (a) Sketch the region bounded by the graphs of y = x + 1, y = x2 – 1, x = 1, and x = 2. %3| %3D | (b...

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Q: Find the radius of convergence of the power series. (If you need to use oo or -0o, enter INFINITY or...

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Q: If f(x) is continuous function on la,b] than is not integrable [a,b]. on Select one: O True O False

A: Topic:- function   

Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 pe...

A: This question is based on exponential Function.

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 x+1 3. lim f(x) = -2, lim f(x) = 2 and f(...

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Q: W) = 3 = 1, x2= 3

A: Given: f(x)=43x-1; x1=1, x2=3

Q: Activity 3. Solve the limit if the following given functions. Match Column A with Column B. Every an...

A: As per our company guidelines we can solve only three subparts at a time so if you need more answers...

Q: For vectors ā = (2,4,-1), b =(-1,3,2), calculate the vector projection of b on ā. %3D

A:  Vector projection of b→on a→=(a→.b→)a→Consider  a→.b→=(2×(-1))+(4×3)+((-1)×2)                      ...

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable c...

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Q: gles WS1 (9.6A) Use the information given about the angle 6, 0ses 2n, to find the exact value of: a....

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Q: Find the first three non-zero terms in the Taylor series for f (a) = e" cos x about x = 0

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Q: Find the projection in the ry plane of the curve of intersection of the surfaces 2z2 = r? + y? and r...

A: Let's find. 

Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3 ...

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Q: given the geometric series below, analyze whether it is convergent or divergent and then define the ...

A: Given geometric series 1/5 + 1/5^2 + 1/5^3 + ......... 

Q: The integration expression sin(3In(x) + 4)cos(3In(x)+ 4)dx must be transformed into using suitable c...

A: topic- indefinite integration

Q: 3x+2 dx find the second derivat. 2 9x

A: Topic:- derivatives

Q: A. Find the derivative of each function. 1. f(x) = 5x²(3x - 6) %3D

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)* Σ f(x) = n ...

A: First we use binomial series. 

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Find your answer below 

Q: n Consider the series Which of the following is equal to an+1 for this series? 2n n=1 an a. n + 1 2n...

A: Given query is to perform indicated operation.

Q: If S f«)dx = 8 and g(x)dx = -2, which of the following cannot be determined from %3D the information...

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Q: if r 1 4 3 -5 -4 -3 -2 -1 -1 2 4 5 -2 -3 -4 -5 Clear All Draw: Note: Be sure to include closed or o...

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Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about r = ro and then find the nth Taylor p...

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Q: graph of f(x). 3 4.

A: Find your answer below 

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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