Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex,    y = 0,    x = 0,    x = 5

Q: A particle travels along a horizontal line according to the function s(t) = -3t° + t + 3t – 2 where ...

A: By differentiating the s(t) we get the velocity function

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

A:

Q: Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations. In...

A: Given query is to find the asymptotes.  

Q: Lind ds 6) 5. 52+w²

A: It can be solved using chain rule and divide rule of differentiation.

Q: 2x +6, r 6 is continuous at I = 6. Justify the conclusion. (i) f(6)=| (ii) lim f(x)= (iii) lim f(x)=...

A:

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

A: Given query is to find the average value of the function.

Q: 2 sinx d x V1-2cosx

A:

Q: consider the following  5^-x/50=9 a) find the exact solution of the exponential equation in terms ...

A:

Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below 

Q: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

A:

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

A:

Q: Because of medical technology advances, the disability rates for people over 65 years old have been ...

A: Here, the given function is: R(t)=26.3e-0.011t...(1) which is disability rate in percentage at t is ...

Q: Given y = f(u) and u = g(x), find dy dy dy du by using Leibniz's notation for the chain rule: dx dx ...

A: Given y=fu and u=gx, to find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=5u...

Q: Write the true bearing 210 as a quadrant bearing

A:

Q: Solve the initial value problem y" + y – 12y = 0, y(0) = a, y'(0) = -28. Find a so that the solution...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Given problem:-

Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, В D // f...

A:

Q: Use the given information to determine the values of the remaining five trigonometric functions. (As...

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2) co...

Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

A:

Q: 4. A concert promoter has found that if she sells tickets for S50 each, she can sall 1200 tickets, a...

A: Explanation of the answer is as follows

Q: 1. What does the following numerals represent? 51651 五万六百五 Input the numbers in decimal system. Do n...

A: 1. What does the following numeral represent = 50605 The number is =  5 times 10000 plus 6 times 100...

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

Q: Approximating the Area of a Plane Region In Exercises 27–32, use left and right endpoints and the gi...

A: Riemann sum

Q: 5-5 18. dy dx 5-5x

A: Given that,

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence....

A:

Q: Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show tha...

A:

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

Q: Determine if the following statement is True or False. If the statement is true, provide an explanat...

A:

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

A:

Q: 4x + 300 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

A: We have to find elastricity and in small price cause the total revenue to increase or decrease

Q: Use Cramer's rule to solve the system. 4x - 2y - z= - 6 3x - 5y - 5z -6 2x - 3y = 2 Write the fracti...

A:

Q: Find all solutions to the equation on the interval 0, 27) : cos (a V3 - 2 * 47 3' 3 47 57 3 3 * 27 4...

A: Given query is to find the solution of the equation.

Q: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)

A: Given f(x) = 2/ (x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))

Q: 4 1 1 4 3. Prove that [(s²t ) ds dt = [ [(s?t) dt ds. 20 0 2

A: Firstly , we can prove left hand side and after that we can prove right hand side. ∫xn dx =xn+1n+1+...

Q: x²74X+2

A: find roots of quadratic function. 

Q: Evaluate each expression. 7. log, 7° 8. log, 0.001 9. log, 4096

A:

Q: 14) In Problems 12 through 7 , given f(x) and g(x ) are differentiable and continuous everywhere wit...

A:

Q: Given f(x, y) = In Væ² y³. What is the value of fr (1, 2)? If the answer is a fraction, write your a...

A:

Q: 2х+5 9. Find the derivative of the function (x) = Simplify your answer. Show your 2х-3

A: 9. fx=2x+52x-3f'x=22x-3-22x+52x-32=-162x-32f'x=-162x-3210.gx=cos25xg' x=2cos5x-sin5x5g' x=-10cos5xsi...

Q: Write an equation for the function graphed below 7.6 3 432

A: Vertical Asymptotes : x = -1 and x = 5 so,the denominator : (x + 1) and (x - 5) Horizontal Asymptote...

Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: 1. メ-\ メ+!

A:

Q: Evaluate the following: 1. S"(1– x)e¬*dx

A:

Q: 2. Find the maximum and minimum of the function f(x,y) 1 subject to the x² +2y² constraint x* + 2x²y...

A: Solution is given below:

Q: Find the first order partial derivative with respect to y of the function f (x, y) = x³y² + 3æe". 3a...

A: Differentiate given function with respect to y treat x as a constant. 

Q: Find all solutions to the equation on the interval 0, 27): cos V3 2 T 47 3' 3 47 57 3' 3 * 27 47 5T ...

A: Equation

Q: General Solution of a First Order Separable Differential Equation In this problem, we want to find t...

A:

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your a...

A: