Question (5): Determine the intervals where the function f(x) = 2x³-3x² - 36x + 2 is increasing or Decreasing

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A: Here we have to find the integral.

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A: Topic = Differential equation

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A: Explanation of the answer is as follows

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Q: 1. (a) Complete the table for the graph of the quadratic. Vertex -10- Equation Axis of Symmetry…

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Q: Q5) Find the absolute maximum and minimum values of D(x,y) = x² - xy + y² + 1 On the closed…

A: Given: D(x,y)=x2-xy+y2+1

Q: dx dy Show complete solution solve: Bernoulli Differential equation 3 x = x² siny EXERCISE -(-siny +…

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Q: 3. Determine whether the function is continuous at r = 5. 2²-42-5 2-5 x 5 D

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Q: f(x) = 5x + 3x4 -8x²+2x+9 Degree:

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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A: See this solution I below

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

A: I am attaching image so that you understand each and every step.

Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: Find the inverse function of f(x) = = Specify the domain for f−¹(x) ƒ-¹(x) = x² - 9 Domain of f¹(x)…

A: Given that,

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Q: f(x) = 2x³ - 3x² − 12x + 6. (a) Find the extreme points of f; (b) Find the point (s) of inflection…

A: SOLUTION-

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

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Q: The exponential function given y H(t) = 80,031.49(1.0483)', where t is the number of years after…

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Q: he volume bounded by the function_z = f(x, y) = xy√x² - y² <10 and 0≤ y ≤8. over

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Q: a) Find the symmetric equations of a line through the point po(2,-3,5) and perpendicular to the…

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Q: Match the Laplace transforms and their inverses. Marks deducted for wrong answers. bt sin(bt)…

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Q: Q4 Solve by Gaussian elimination x-4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Q2: Find the following limits V-V lim x418√√x+√ 友

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Q: 1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

A: Given: 1.limx→23x2.limx→22x+1-3

Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

Q: following

A: We have to find the value of the given condition according to the given information

Q: Q4/(A) Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the direction.

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Q: Calculus I Consider the following graph y=f(x)  Where dy/dx is zero?

A: If we have horizontal tangent , dydx=0 .

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Q: Use the given information to find the unknown value. y varies directly as the cube of x. When a = 2,…

A: Given that :- y varies directely as the cube of x. When x=2 then y=5  Find :- y when x=3.

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. 1/2 dy+y3/2= 1, y(0) = 16 dx

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Q: 2. Use reduction formula to evaluate the integral: fsins x dx.

A: Reduction formula

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A: Write  Taylor series first then try to rearrange

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Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

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

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A: We have to consider the given statements are true or false according to the given information

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: For the vectors u = (3, 2, 1) and v = (1, 2, 0), evaluate the following expressions. a. 2u+ 4v b. 4u…

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Q: (tanz+cotr)-(tan'r+cos'r)-(sin'z+cot'r) -dz S x Lnx Ln (Lnx) Ln (Ln (Ln(x))) Ln (Ln (Ln (Ln(x)))) Ln…

A: On solving numerator we get equals to 1 and then solve by substitution

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Q: 0 3² 3x - 4x dx 5x

A: Basic identities of integration are used.

Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

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