5) Find the average value of ƒ (x) = 9 – x² on [-3,3] %D

Q: Differentiate the function. y = √(8x - 7) - √(x)/(5) y ' =

A:

Q: Use a graphing utility to graph equation .Then use the TRACE feature to trace along the line and fin...

A: To Determine: Use a graphing utility to graph equation .Then use the TRACE feature to trace along th...

Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing th...

A:

Q: a rope running through a pulley at P and bearing a weight W at one end. The other end is held 5 ft a...

A: A rope running through a pulley at P and bearing a weight W at one end. The other end is held 5 ft. ...

Q: Each of the numbers 1 - 20 is written on a ball and placed in a bag. If one ball is selected at rand...

A:

Q: The admission fee at an amusement park is $4.25 for children and $6.00 for adults. On a certain day,...

A:

Q: Find the limit by using l'Hospital's Rule: lim (x->0+) [(xx - 1)/(lnx + x -1)]

A: Consider the formula for L' Hospital rule and apply it. limx→0fxgx=limx→0f'xg'xlimx→0+xx−1lnx+x−1=li...

Q: Simplify the given expression. ∛32 / ∛2

A:

Q: Use only the method of cylindrical shells to find the volume of the solid obtained by rotating the r...

A: The required region is as shown below: The height of the rotated region is y=-x2+3x-2, for 1≤x≤2. T...

Q: Find the integral. :)

A: Given: I=∫26x−2dx

Q: Evaluate the limit using L'Hospital's rule if necessary: sin(2x) lim x→0 tan(14x)

A:

Q: Complete the table to find the derivative of the function without using the Quotient Rule.

A: To Determine: Complete the table to find the derivative of the function without using the Quotient R...

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 АЗ The are...

A: Given: The Areas of the labeled regions are: A1=8, A2=4, A3=2, and A4=1 We have to find out the val...

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly twe...

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b] f(x) = x2 -25/x-...

A: Given that: The rational function is f (x) = x2 - 25x - 3 , [ - 5 , 5].  

Q: 9.2

A:

Q: tell me why moving to right or left

A: Consider the given velocity function, vt=t-coset differentiate the velocity function with respect to...

Q: Plot the complex number 1 + i√3. Then write the complex number in polar form. You may express the ar...

A: If z=x+iy Thus in it can be written in the polar form as z=reiθWhere r=x2+y2And θ=tan-1yx  

Q: Fill in the blanks? The commutative properties state that a + b = ………. and ab = ……………

A:

Q: Evaluate the following limit using L'Hospital's rule: 2 (In(z))? lim x → 00 4x

A: Value of limit is 0 Explanation is given below

Q: A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length ...

A: suppose that the length of the rectangular piece of sheet metal is y and the width is x so its area ...

Q: 650 The equation N (t) = models the number of people in a town who have heard a rumor 1+49e-0.7t aft...

A:

Q: 13.Find a differential equation whose general solution is y = c1e2t + c2e−3t.

A: The given solution is y= c1e2t+c2e−3t.

Q: Find all the values of a > 0 such that the given series (Зх — 0.4)* - k2 k=1 is convergent from x = ...

A:

Q: Find the distance the point P(4,-4,8) is to the line through two points Q(2,-1,5), and R(5,0,6).

A: Given Data: The given point is P (4,-4,8). The point on line is Q(2,-1,5), and R(5,0,6). The equatio...

Q: Evaluate the integrals

A: Consider the integration as I=∫01x2+xdx

Q: For the equation, find dy/dx evaluated at the given values. (3)^ √ x  +  (3)^ √ y = 6 ...

A: 3x+3y=6 Differentiating with respect to x, we get ⇒d3x+3ydx=d6dx⇒3xln3·dxdx+3yln3·dydx=0    ∵daxdx=a...

Q: A punter in football kicks a football high in the air. The height of the football can be given by th...

A: A. Consider the given function, hx=-0.009x2+1.61x+2 Substitute x=0 to get the initial height of the ...

Q: Becausd of terra in difficuties, 2 Sides of a fence Loa be built foc$3 Per tt, while the (ther 2 Sid...

A: Given fencing needed for the field below. The cost for two sides is $7 per feet and $3 per feet for ...

Q: Carry out three steps of the Bisection Method for f(x) = 3* - x' as follows: (a) Show that f(x) has ...

A: Given: The function fx=3x-x7 To Determine: (a) fx has a zero in 1,2 (b) Which subinterval 1,1.5 or 1...

Q: Please help me with this problem. Thank you!

A:

Q: a. In 2000, the population of a country was approximately 6.29 million and by 2069 it is projected t...

A:

Q: An open-top box is to be made from a 36 in. by 27 in. piece of cardboard by removing a square from e...

A:

Q: Last expert was wrong

A: Given data,  Initial due(P0) = $70,000 Time since due (t) = 6 years Interest rate (r) = 4% = 0.04 Co...

Q: You have 600 ft of fencing material to construct a rectangular pen for cattle. What are the dimensio...

A: Draw diagram.for.pen

Q: Consider the series >`ar where k=1 ak = k In this problem you must attempt to use the Ratio Test to ...

A: Given, ak=k34k To determine whether the series ∑k=1∞ak converges by the ratio test.

Q: Find the interval on which f(x) = x² + 4x – 1 is increasing and the interval upon which it is decrea...

A:

Q: Find the average value of the function over the given interval. Round your answer to three decimal p...

A:

Q: For the equation, find dy dx evaluated at the given values.   x2 + y2 = xy + 7  at  x = 3...

A:

Q: thou

A: Given that: A baby food company has determined that its total revenue R for its food is given by  R ...

Q: (a) If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x)=...

A: Part A The average cost is given by Take derivative w.r.t x using Product Rule implies For minimum...

Q: Use logarithms to solve. e2x – et – 132 = 0 Enter the exact answer (i.e. keep your answer in exponen...

A: To Solve: Use logarithms to solve: e2x-ex-132=0 Explanation: e2x-ex-132=0⇒ex2-ex-132=0let ex=y⇒y2-y-...