2 dx V2x +5

Q: The sum of the perimeters of an equilateral triangle and a square is 15. Find the dimensions of the ...

A: To find the dimension of triangle.

Q: Let R be the region enclosed between the curves y = x +2 and y = e". (a) Plot the given curves. Grap...

A: (a) Given functions of two curves are: The graphs of the above functions are as follows: Therefore...

Q: What is the slope of the line tangent to the graph of f at (a,f(a))? Which of the following is the c...

A: we have to find the slope of the tangent line to the graph of f at (a,f(a))  

Q: How much work does it take to slide a crate 20 m along a loading dock by pulling on it with a 200-N ...

A: Given that it take to slide a crate 20 m along a loading dock by pulling on it with a 200-N force at...

Q: Solve the exponential equation e1-5x = 793. Express the solution set in terms of natural logarithms ...

A: Solve the exponential equation e1-5x = 793. Express the solution set in terms of natural logarithms ...

Q: Graph the function f(x) = −3x2 + 3x − 2 using properties of parabola.

A: Given: fx=-3x2+3x-2

Q: Derive the Law of Cosines from the Pythagorean Theorem.

A: Consider the following figure: BC=aAB=bAC=cCD=a-bcosθ

Q: Simplify and convert into polar and exponential form of complex number: 2-3i 3+4i

A: Given complex number: z=2-3i3+4i   Write the given complex number into a + bi form to simplify.

Q: Which of these are closed regions? D.|Arg z|<pi/4 E.(Re z)^2>1 F.-1<I'm z<=1

A: D. 1)arg(z) is the angle between the line joining your point z=a+ibz=a+ib and the origin, in the com...

Q: 1 y = y(x)is given implicitly by 1+xarcsin y- 2ycos x = 2.xarctan(÷). Find y' y the point 0).

A: 1+x·arcsin y-2ycosx=2x·arctan1yDifferentiate both sides with respect to x.0+arcsin y+x·11-y2y'-(2y'c...

Q: Solve : 2(x - 4) + 3(x + 5) = 2x - 2

A: To solve: 2x-4+3x+5=2x-2

Q: Differentiate.  g(t) = t3 cost

A: To differentiate gt=t3 cost

Q: What is is the 1-year growth factor for her home's value?   What is the 1-year percent change for ...

A: Given Sonya home value in 2010 is $221,750 and in 2020 is $320,250. The cost of home increase as per...

Q: What is the polar equation of the vertical line x = 5?

A: Given veritcal line is x=5. In polar coordinates, we have, x=rcosθ, y=rsinθ Therefore, given equatio...

Q: Solve the equation 2 sin2 x + cos x = 1 on the interval [0, 2π).Use exact values where possible or g...

A:

Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the...

A: for finding given ratio, first we find number of smaller cubes we know that numberN of smaller cubes...

Q: The function f(x) = xe- is Select one: O a. increasing on (1, 00) and decreasing on (-o, 1) O b. inc...

A: Given function is  fx=xe-x  

Q: Factor completely, or state that the polynomial is prime.: 9x3 - 9x

A: Given:fx=9x3-9x

Q: Determine the arc length of the curve. Set up the integral to find the lengthand then integrate in y...

A: the given function is: y=x for 0≤x≤3 we have to determine the length of the curve.   as we know that...

Q: Second partial derivatives Find the four second partial derivatives of the following functions. h(x,...

A: Given information: hx,y=x3+xy2+1    

Q: Find the absolute extremas as well as all values of x where they occurson the specified domain. 4)f(...

A: The given function is fx=13x3-2x2+3x-4. Differentiate fx with respect to x. f'x=x2-4x+3 For critical...

Q: Find the limit of the sequence with the given nth term.

A: To find the limit of the sequence whose nth term is an=6+2n2

Q: (a) Find sin(x), given cos(x) = 5/13 (b) Evaluate lim x→0 (sin(5x)/3x) (c) Evaluate lim t--> inf...

A: Given: (a) Find sin(x), given cos(x) = 5/13 (b) Evaluate lim x→0 (sin(5x)/3x) (c) Evaluate lim t--&...

Q: ) Find the following limits if they exist. 1 lim x→0| x 1

A:

Q: Find all solutions exactly on the interval [0, 27). sin(2x) sec2 x

A: Given, sin2xsec2x = 0  We have to find the value of x in the interval [0,2π)

Q: Find the areas of the regions enclosed by the lines and curves y = √| x | and 5y = x + 6

A:

Q: Find each of the givenintegrals. SHOW ALL YOUR STEPS AND DO NOT INTEGRATE IN YOUR CALCULATOR

A: Given,          ∫01x24-x2dx

Q: Please see the attached picture of the Calculus problem. If you could show the detailed work, that w...

A: Given: F(x,y,z)=x3lnzi^+xe−yj^−(y2+2z)k^

Q: A rental company charges $65 a day and 20 cents a mile for renting a truck. Michael rented a truck f...

A: Given:  rental company charges $65 a day and 20 cents a mile. Total bill=$275  

Q: #17. EXPRESS AS A PRODUCT

A:

Q: Evaluate the double integral: (see attached)

A:

Q: The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected ...

A: We have given that  C(t) = 0.32t3-7.7t2+170t+1300 where t is the number of years after 2000.  Number...

Q: a) use rolled theorem to show that f(x) =6x^3+8x-3 has exactly one real zero b) The graph of the fun...

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want ...

Q: Find the​ consumers' surplus if the demand function for a particular beverage is given by ​D(q)=3000...

A: We are given the demand function for a particular beverage as: D(q) = p=30003q+72 The equilibrium qu...