Find dy/dy y=ln( (x^2(2x^2+1)^3)/√(5-x) )

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A: Given:   Area=20000

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Q: Evaluate the integral. dx (x² – 1)3/2

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Skip74 Write an equation for a rational function with: Vertical asymptotes at x = 1 and x = -3 x-int...

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Q: Solve quadratic equation by factoring. 3x2 = 12x

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: The value V of an item t years after it is purchased is V = 9000e−0.6t , 0 ≤ t ≤ 5. (a) Use a graphi...

A: V=9000e-0.6t, 0≤t≤5 a). The graph is,

Q: y = g(x) For the function graphed in the accompanying figure, find the following limits. 4 4 (a) lim...

A: Given:        

Q: find the rules for the composite functions f o g and g 0 f  f(x) = 6x^2 + 3x +8  g(x) = x + 1

A: given: f(x)=6x2+3x+8g(x)=x+1

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Use the graph of the rational function to complete the following statement. As x- 00, f(x) →

A: Given,          

Q: I need help with the problem I've attached. thank you.

A: The given function is f(x)=x23-2x.

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection r...

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y...

A: Given that: fx,y=2sinxy,               0  ,  5

Q: ()- d - en In x (en In x )(n)| = n(x")(x=l) = nx"-1 87. dx

A: Given information: The function enlnx Chain rule of the derivative, ddxefx=efxddxfx      

Q: How do you find the equation of the plane through A perpendicular to a vector w ? O You watch the mo...

A: To find: The equation of the plane through A perpendicular to vector w. we know that, The equation o...

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: What is the condition for convergence of the geometric series Eart? k=0

A: Given ∑k=0∞ark now consider ∑k=0nrk=1-rn1-r where r≠0 and this series is always true.

Q: please help with part a

A: The Geometric Idea behind the method is as follows: By putting on dimension equal to zero, the 3-dim...

Q: If a rock is thrown upward on the planet Mars with a velocity of 11 m/s, its height (in meters) afte...

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Q: Determine whether the following equation is separable. If so, solve the given initial value problem....

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Q: Consider the following function. f(x) = (x + 4)2/3 (a) Find the critical numbers of f. (Enter your a...

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Q: Would you please help me on these questions?

A: Given, f(x)=4-(x+4)2,           x<-1ax+b ,        -1≤x≤4x,                      x >4 where a a...

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Q: Find the second derivative of the function f(x) = (x) / (x - 1)

A: The second derivative of the function is 2/(x-1)^3.

Q: Use implicit differentiation to find dy/dx for the following equations: a. x2 + 4xy - y3 = 6 b. x si...

A: Given a. x2+4xy -y3 = 6   b. x sin y = y cos x

Q: Evaluate the integral. (Use C for the constant of integration.) dx - x2

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Q: find the domain of the function ( enter answer in interval notation)  h(x) = sq rt x-8 / x(x-9)

A: Given: h(x)=x−8x(x−9)

Q: Find the derivative of the following functions and simplify: a. g(x) = 3x5 - 2x2 + x-1 + π3 b. h(x) ...

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Q: find the distance from the point to the plane. (0, 0, 0), 3x + 2y + 6z = 6

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Q: Find the limit if it exists: lim x->0       (sin(3x)) / (x(3x2 - 5))

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Q: Use the graph of the rational function to complete the following statement. As x -4 ,f(x)→

A: In the above question  x→-4- means x approaching -4 from the left-hand side  

Q: dy What type of curve does the solution to the DE dx = -1, y(0) = 1 represent? Select one: O line O ...

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Q: Answer remaning boxes correctly and completely

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Q: Choose the correct option. The greatest integer function f(x)=[x]  is - (a)continuous for all real v...

A: given: the greatest integer function f(x)=[x].  

Q: How do I find Sec(2) with minimal calculator use?

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Q: 1.  Solve: 32x−1 − 4 · 3x + 9 = 0.2.  Solve: log6(log2 x) = 1. 3. Suppose f(x) = ax + b             ...

A: Since you have asked  multiple questions in single request  so we  will be answering only first ques...

Q: Length and Area Find the length y in the figure. The area of the shaded region is given. (a) (b) y y...

A: From the first figure: (a) Area of the shaded region is the sum of the area of triangle ABC and the...

Q: 2. For the function f(x) = 2x4 + 15x3+ 41x2 + 48x + 2     ≥                                        3...

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Q: 82

A: Since you have asked  multiple questions in single request  so we  will be answering only first ques...

Q: Identifying surfaces Identify the following surfaces by name. y = 4z2 - x2

A: Concept: The simplest area calculations are for squares and rectangles and to find the area of a rec...

Q: Suppose that the supply function for honey is p=​S(q)=0.2q+2.2​, where p is the price in dollars for...

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Q: Consider two forces of equal magnitude acting on a point. When the resultant of the forces is 0, mak...

A: given: the two forces of equal magnitude acting on a point and the resultant of the forces is 0.  

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.