Find the average value fave of the function f on the given interval. f(x) = 3x² + 8x, [-1, 5] fave - Read It Need Help? Master It

Q: (b) Show that the interval of convergence of the series n=1 sest 2-12-1 (4n-3)² is given by

A:

Q: y = x² and x² = y

A:

Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

A:

Q: The graphs of a quadratic function and a cubic function are shown below. Both graphs have integral…

A: Given problem:-

Q: 2- Find the derivative of y with respect to the Exercises 1-3. 6sinh 33 1- -

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: (D² - 2D+5)y=e* cos x

A: I am attaching image so that you understand each and every step.

Q: farm bureau Determine the open intervals on which the function is increasing, decreasing, or…

A:

Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: 5. If f(x) dx = 12 and f f(x) dx = 4, then all of the following must be tru a. ff(x) dx = 16 ✓ b.…

A: Given that∫25fxdx=12 and ∫58fxdx=4Solution :a.∫28fxdx=∫25fxdx+∫58fxdx                 =12+4…

Q: Solve using method of undetermined coefficients: 2y" + 3y - 2y = 14x² - 4x - 11, y(0) = 0, y'(0) =…

A:

Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: Find the general antiderivative of f (x) = O2 ln ln 2x + C 1 O + C - 2 ln 2x O-In In 2x + C 1 O + C…

A: The function is given by fx = 4xlnx2 To evaluate: The most general antiderivative of the function.

Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

A:

Q: Question 9 of 9 A company currently owes $25,000 to a bank for a loan it took 3 years and 5 months…

A:

Q: Find the value of k for which the constant function (t) - =k is a solution of the differential…

A:

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: Question 10 Find the general antiderivative of f(x) = O2 In|ln 2x + C 1 + C 2 In 2x Olnln 2x + C + C…

A: The objective is to find the general antiderivative.

Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

A:

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

A:

Q: 5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and…

A: I am attaching image so that you understand each and every step.

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin(2x - 6) sin(4x - 12)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

A:

Q: tid Q3. Evaluate the following integrals 1) cothx.csch2x. dx (50-3x - √x+1+73 44x

A:

Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: Evaluate the spherical coordinate integral. 1- cos 2 2π π SS S p²sin & dp do de 00 0

A:

Q: Find an antiderivative F(x) of the function f(x) = 4x² - 6x +5 such that F(1) = 14. F(x)= (Hint:…

A: Solution is given below:

Q: Suppose 8 3n f(x) = n! (x - 7) n n=0 7 To determine So f(x) dx to within 0.0001, it will be…

A: We have to find the value of integral.

Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: Q) find differential equation of the following equation dx + x sin(2y) = x cos² (y) dy

A:

Q: John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%,…

A: topic - percentage

Q: Find the sum of the first eight terms of the sequence shown. 1/2, -1/4, 1/8 . . . a. 1/256 b. -1/256…

A:

Q: The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

A:

Q: Differentiate and simplify this function f (x) = x^2/3 sin(x)

A:

Q: Shaw that is the function defined by xy f(x, y) = √x² + y² if O differentiable at not derivatives.…

A: Here in this question, we need to prove that the given function is not differentiable at the origin…

Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

A:

Q: Question 13 Which of the following satisfies the differential equation d²y dx² A. y = e³r B.y = e-3r…

A:

Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

A:

Q: Step 1 of 4: Find lim f(x). x--3- Enable Zoom/Pan 10 10 -10 Keypad Keyboard Shortcuts Selecting a…

A:

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. x--4 (a) lim f(x)g(x) x-4 (b) lim…

A:

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, cos x = 0, y() = 0…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √81.3 as follows: - Let f(x) √x.…

A:

Q: Evaluate the following integrals: dx dx a. S b. f √81+16x² √16x²-9 C. S dx 49-4x²

A:

Q: Example Test the series Σ 11 for convergence or divergence.

A:

Q: In economics, the most economical quantity Q of goods (TVs, dresses, gallons of paint, etc.) for a…

A: Given Q=f(K,M,h)=2KM/hTo find f(240,750,1)=?

Q: hav is that not the function defined by ху f(x, y) √x² + y² if differentiable at (x, y) + (0;0) if…

A: We have to show that f(x,y) is not differentiable at (0,0)

Q: Determine the equation of the hyperbola with center (3, -3), a focus at (16, –3), and a co-vertex at…

A: To find out the equation of hyperbola.