the 6x dx (x²+4)(2x-2)

Q: Q6.  Compute the average value of the function f(x) = (7x2 + 6x + 7 · 3)ex on the interval [−6, 7].

A: Using the mean value theorem 

Q: Find the average rate of change of the function over the given intervals.   ​f(x)=6x3+6​;      a​) ...

A:

Q: Evaluate the integral 5x/(x2+1)(2x-2)dx.

A:

Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

A:

Q: -α- -β- -γ- -λ- -θ- -η- -ω- 4 4 8 2 7 3 0 you should use this table ...

A:

Q: Consider the functions given.evaluate the integrals

A: First we try to write the given function using the mentioned functions.

Q: 5.4 Problem #9

A:

Q: Solve the formula for the specified variable. Do you recognize the formula? If so, what does it desc...

A: First, we cross multiply and distribute   

Q: Find a cofunction with the same value as the given expression cos 2π/5

A:

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the in...

A: Given function,

Q: Verify that f(x) = (x + 3)/(x + 1), x > −1, a = 2 has an inverse function. Then use the function ...

A: Given data:   Differentiate the function f(x) with respect to x, Substitute the values in the abov...

Q: What is the largest volume of a rectangular box with no top made by cutting little squares out of th...

A:

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the f...

A:

Q: Limits at infinity Determine the following limits. 14x + 3x? - 2x lim xS0 21x + x² + 2x + 1

A: We divide the numerator and denominator by x^3

Q: Evaluate each expression without using a calculator (a) sec[arctan(−3/5)]        (b) tan[arcsin(−5/6...

A: We draw a triangle with opposite=-3 and adjacent = 5 , then we find the hypotenuse  

Q: Rewrite 4 - 5x - x2 + 6x3 in descending powers of x.

A: Here, we have to write the expression in the descending power of x. So, first, write the highest pow...

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the in...

A:

Q: Linear functions and their graphs Determine the function represented by (a) line A  (b) line B

A: a) We find the slope of line A first. It connects (0,6) and (7,3) Given, y-intercept=6     

Q: Verify the identity: (sin x - sin y)/(sin x + sin y) = tan (x - y/2 cot (x + y)/2

A: We will use the formulas  

Q: Explain how to determine whether a relation is a function. What is a function?

A: If in relation, for one value of x, there is only one value of y, then that relation is called a fun...

Q: Graph equation y = x2 + 2. Let x = -3, -2, -1, 0,1, 2, and 3.

A: We will make a table using the values for y = x2 + 2    

Q: Properties of the Gompertz solution Verify that the function Mo exp( -rt) M(t) = K( K satisfies the ...

A:

Q: Solve the right triangle with B = 16.8°, b = 30.5, shown in the figure. Round lengths to two decimal...

A:

Q: Use transformations of f(x) = 1/x or f(x) = 1/x2 to graph the rational function: g(x) =1/(x-3)2 + 1

A: This means f(x) will move 3 units to right and 1 unit up.   

Q: Q3. Find the largest volume of a rectangular box with no top made by cutting little squares out of t...

A: The dimension of the rectangular sheet is We need to find the largest volume of the rectangular box...

Q: Differentiate xex

A:

Q: Use synthetic division and the Remainder Theorem to find the function value.

A: The given function is, to find   

Q: Find the directional derivative of f(x,y) = x² + y² – 2x – 4y at the point (-2,3) in the direction o...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A:

Q: Solve the following differential equation. (2x+1) dy: dy=. 2 y

A:

Q: Compute the average value at the function H(x)=D (6x²+ x + 28) e on the interal [-4,6]

A:

Q: Which of the following are solutions to the differential equation dy/dx = f(x,y) whose slope field i...

A:

Q: Finding area Determine the area of the shaded region in lowing figures. y x5 2sin 2y x 5 cos y 21 24...

A: Given two equations are x=-sin(2y) and x=cos(y) First, we find where they meet   

Q: Simplify algebraic expression. 5(3x - 2) + 12x

A:

Q: Differentiate

A:

Q: Evaluate the integral

A:

Q: 5.4 Problem #25 A tank is full of water. Find the work required to pump the water out of the spout. ...

A:

Q: Find the scalar and vector projections of b onto a. 3i - j + 6k, b = j+ k 2 compab = 46 (3i-j+ 6k) 4...

A:

Q: Simplify x-2 y

A:

Q: 5.4 Problem #6

A:

Q: What are answers to the following precalculus questions?

A:    

Q: A ball is thrown upward to a height of h0 meters. After each bounce, the ball rebounds to a fraction...

A: A ball is thrown upward to a height of h0 meters. After each bounce, the ball rebounds to a fraction...

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.