Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the closed interval 1< x < 3?

Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

A:

Q: a)Find the exact arc length of the curve 24xy = y^4 + 84 from y = 2 to y = 4

A:

Q: V1-x? 1 x2 + 1 1 X.

A: Follow the procedure given below.

Q: Use the indicated x-values on the graph of y = f(x) to find the following. с d e f Find intervals wh...

A:

Q: Solve log r = 1 – log(x – 3). If there is more than one solution, write the numbers in ascending ord...

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

A:

Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Curve is given at point (0,1/2).We will find the equation of the tangent line to the curve.Below fin...

Q: Finding the Area of a Triangle Use the diagram of the triangle in Figure A to answer the questions. ...

A: Explanation of the answer is as follows

Q: b. Find y", given y = e¯" In x.

A:

Q: Find the slope of the graph of the function at the given input value. Round your answer to three dec...

A: Given that f(x)= 3x - 3x. And at x=6 find the slope of the graph of this function.     Here i attach...

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.

Q: dx x²+x-6 9-

A:

Q: Use the given value and the trigonometric identities to find the remaining trigonometric functions o...

A: NOTE: Refresh your page if you can't see any equations. . here we have  and  which means the angle...

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*, (0...

A: equation of a curve                    y=x4+9ex   we have to find - the equation of the tangent line...

Q: Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c)...

A:

Q: Find the centroid of the region bounded by the given curves. y = 2 - x2,      y = x

A:

Q: 2x+x sin 3x lim 5x2 - 2x +1

A: We have to find  limx→∞ 2x + x sin 3x5x2 - 2x + 1.

Q: Evaluate the integral : 8x²+10x-6 S (x–1)(x+1)? dx (x-1)(x+1)² +C

A:

Q: Let S be the cube with side length 7, faces parallel to the coordinate planes, and centered at the o...

A:

Q: Il only I and III only I and II only

A:

Q: modeled by the function F given by F (t) = 5 + - sin(), where F(t) is measured in 4 gallons per day ...

A:

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

A:

Q: Find f(x) from Sat principles, given that flx) is! ら) c)

A:

Q: Given Cost and Revenue functions C(q) = q° - 11q +54q+ 5000 and R(q) = - 3q + 2500q, at what product...

A: Given query is to find the production level where marginal revenue is $2260.

Q: The curves f(x) = x² – 3x – 4 and g(x) = 2x – 10 intersect at the point (2,-6). Find the acute angle...

A: Given:     f(x) = x2 - 3x - 4      g(x) = 2x - 10  Intersect point : ( 2 , -6 ) 

Q: 8n° – 8n + 19 Use the limit comparison test to determine whether an = Σ converges or diverges. 5+ 3n...

A: Given that ∑n=19∞8n3-3n2+195+3n4Use limit comparison test

Q: Find all solutions of the equation in the interval 0, 2n). sine(2 cos 0 + /2) = 0

A:

Q: 3- 2- 1- 1 3 14 -1- Graph of f The graph of the function f is shown above. Let g be the | by g (x) =...

A: Let's find. 

Q: (2) The number of people in a certain community who contracted a certain disease is modeled by 1000 ...

A:

Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: Use the Integral Test to determine whether the infinite series 15 is convergent. (Use symbolic notat...

A:

Q: Given the function C - X frx) esinx ind the value of the constant So that Punction RC is Confinueus

A:

Q: Calculate the integral using a hyperbolic substitution. (Express numbers in exact form. Use symbolic...

A: To evaluate the integral.

Q: Given Cost and Revenue functions C(q) = q° - 8q + 53q + 5000 and R(q) = - 3q + 2400q, what is the ma...

A: We are asked to find the marginal cost

Q: Find the value of c in the interval (a,b) such that f'(c)=0 for f(x)=(x-3)(x+1)´ on[[-1,3].

A: the value of c is:-

Q: The area of a healing wound is given by A=πr2A=πr2. The radius is decreasing at the rate of 2 millim...

A: Given; A=πr2 r=22.

Q: Find the differential of each function. (a) y = etan(nt) %3D dy = te tan (Tt)sec?(rt) 2. secʻ(nt) (b...

A:

Q: 1 find d'y dx3 Suppose y = X-1 x+1 A. 4 4 4 C. 4 (x + 1)6 (x – 1)6 (x + 1)6 * (x – 1)6 В. 6 6 6 D. (...

A:

Q: 2. (x- ブメッテルーョ fx 3.

A:

Q: Section 2.9 p. 252/254 # 398 For the following exercises, find the antiderivatives for the given fun...

A:

Q: da Evaluate 2 (16 + x2)*

A: ∫1(ax2 + b)ndx = 12b(n - 1)∫2n-3(ax2 + b)n-1dx + x(ax2 + b)n-1

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Used A population is modeled by the differential equation dP = 1. P dt 4200 (a) For what values of P...

A:

Q: Given the following table, give the best estimate for f'(3) 6 9. 12 15 f(x) 38 43 55 60 22 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 3. Suppose we are told 1 lim Determine the value of the number c.

A: Follow the procedure given below.

Q: 3. Find the first partial derivatives for s(u, t) u+2t evaluated at s(2, 1). u²+t²

A:

Q: Find the angle between the vectors a = (4, 4, -2) and b = (5, -3, 3). Solution Since |al = V42 + 42 ...

A: Given:    a=4,4,-2    b=5,-3,3 The angle between two vectors is given by           cosθ=a·bab

Q: Use the graph of f (x) = x below to find a number & such that x-1< 0.2 whenever 0 < |æ – 1| < d. %3D...

A: