The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to estimate the average v fave of f on [20, 50]. fave = 20 25 30 35 40 45 50 f(x) 44 40 33 30 36 47 62 Need Help? Watch It

Q: (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: 71/3 (b) Find a value c...

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: y1(t) 6y/(t) + 8y(t) = e2t + sin (t) ; y(0) = 0 ; yr(0) = 1 -

A:

Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

A:

Q: For the following geometric sequence find the recursive formula and the 6th term in the sequence. {...

A:

Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. ...

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

A:

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: Consider the rational function y = - -1 when investigating and analyzing. Match the topic with the a...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: An evolved kind of green fungi is shrinking at an initial rate following f(t) = vVE + 5, where t is ...

A:

Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj....

A:

Q: 3. Find the following integrals. Most of them (but not all) require partial fraction xdx 2х + 3 b) s...

A:

Q: Find the area of the surface obtained by rotating the curve y = 3x3 from x = 0 to x : 4 about the x-...

A:

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

A:

Q: The rate of change of the population of Calcville can be modeled by the function P'(t) = 13.4e0.04 w...

A:

Q: Find the centroid of the region bounded by the curves y= x-4 and y = 2x - x. Note that the area of t...

A:

Q: An offshore oll well is 4 kilometers off the coast. The refinery Is 5 kilometers down the coast (see...

A: Given query is to find the x to minimize the cost.

Q: Evaluate the following: 1. S sin³ 4xcos³4xdx

A: 1.Solution : ∫sin34xcos34xdx123∫23sin34xcos34xdx123∫sin38xdx    2sinxcosx=sin2x123∫3sin8x-sin24x4dx ...

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0

A:

Q: A pole that is 74 feet long is leaning against a brick wall. The bottom of the pole is getting farth...

A: This question is related to rate of change, we will solve it using given information. 

Q: Consider the pair of savings plans below. Compare the balances in each plan after 13 years. Which pe...

A:

Q: У7" — 1)" (10.х n=0

A:

Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B) ...

A:

Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

A: The graph of f is linear near the point (6, 4) and approximately coincides with the line passing thr...

Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region a...

A: Let the length= x foot  Breadth= y foot  Area = lb = xy  2000= xy .   

Q: Given x+ y +z=3 and Po(2,1,0), find the following. (a) Find the equation for the tangent plane at th...

A:

Q: Calculate the producers' surplus (in dollars) for the supply equation at the indicated unit price p....

A:

Q: Let R be the region in the first quadrant bounded on the right by the graph of y = x – 3, above by t...

A:

Q: 3 sin°co dx COSCX)

A: Integration

Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Which of the following gives the length of the curve y x2 + 2x from x = 0 to x = 5 ? (x2 + 2x) dæ I ...

A: Length of the given curve will be

Q: g(y) = y3 dy y 4 3+ 1 4 6. 8

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from the point P to the line through A and B.

Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: 「こa。 2. e doc

A:

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

A:

Q: 5x3 dx. Consider the integral 4x4 +2 (a) Which of the following statements best describe the given i...

A: For part (a), option (b) is correct answer. For part (b), the given integral is Divergent.

Q: Find two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot t...

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

Q: An element loses 31% of its mass every year. Find the half-life in this situation. The half-life is ...

A: We will find the half life of the element. 

Q: Find a general solution to the differential equation using the method of variation of parameters. y"...

A:

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y...

A:

Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand ...

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0) ...

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x) ...

Q: Q2: Solve the following equation using bisection method to find the root between x1=1 and x2-3 make ...

A:

Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

Q: 9x sin) C-8. Value of dx equals to sinx2)

A:

Q: a)Solve the following IVP: d^2y/dt^2 − 4(dy/dt )− 5y = 0, y(1) = 0, y′(1) = 2

A:

Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

A:

Q: Original Integral Rewrite Integrate Simplify 9 dx dx 9 + C (4x)5 1024 1024

A: Topic = Integration