R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3 − 4 over the interval [a,b] where a=1 and b=4. Represent R using the Desmos graph below. Submit your answer to this question by dragging the movable points so that the shaded region represents R.

Q: at what value(s) of x does the graph of g(x) have relative minimum(s)? justify your reasoning

A:

Q: QUESTION 8 Write the given iterated integral as an iterated integral with the order of integration…

A:

Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

A:

Q: find the volume of the solid generated when the region R is revolved about the x-axis

A: To find the volume of the solid generated when the region R is revolved about the x‐axis.

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X-3 X→-1 a. Find lim f(x) or…

A:

Q: Consider the following function. g(x, y, z) = In(15 - x² - y² - z²) (a) Evaluate g(2, -1, 3). (b)…

A:

Q: Consider the given isosceles triangle of base 12 and edges / side lengths x. If x is increasing at…

A: We can solve the given problem by using the concept of derivatives.

Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: Given equation represent 3 Dimensions or R^3

Q: 5. 2x-1 4x - 1 dx

A: We can solve this as follows:

Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

A:

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x = (0,π). is:

A: Using Integrating Factor formula:

Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

A:

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0

Q: Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x - 3…

A:

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

A:

Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: 1. 6 2x² =dx 1 + x

A:

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: Find the average rate of change of the function f(x), given below, from x = -2 to x = 5. f(x) = x² +…

A: Topic = Functions

Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

A:

Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

A:

Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

A:

Q: Find the general solution of the following differential equation. 16y" + 40y' + 25y = 0 NOTE: Use c₁…

A: to find out the solution of the given differential equation.

Q: e Transform of f(t) = sin²t By Rule.

A:

Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: Use Newton's method to find solutions accurate to within 10-5 for the following problems. L et + 2+2…

A: As per bartleby guidelines we only give first question answers. Please repost for others.

Q: A Let R be the region bounded by y = √cos x, x = generated when R is revolved about the x-axis. 4'…

A: Follow the procedure given below.

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: 0 x²+1 dx

A:

Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Finding nth Partial Sums In Exercises 1-6, find a formula for the nth partial sum of each series and…

A:

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: 89% of 35

A:

Q: The solution of differential equation y' + (cotx) y = 3 sin x cos x, x=(0,7). is:

A:

Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

A:

Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

A:

Q: Ex Gen If dy = y cost and y = 3 when t = 0, then y = dt 56. A. esint +3 C. sint + 3 B. 3e sint D.…

A:

Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.

Q: The acceleration function (in m/s) and the initial velocity are given for a particle moving along a…

A: The given acceleration function:at=t+4.Also, if v is velocity function, then v0=6.The given interval…

Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

A:

Q: Solve the following differential equation Ỳ − (sinx) y = 2 sinx

A:

Q: u. x + 3 2x³ - 8x -dx

A:

Q: Use the vertical line test to determine if y is a function of x in the graph. Oy is not a function…

A: Vertical line test: If a vertical line cuts the graph at only one point then the given graph is the…

Q: Q3// 1. Sketch the region D and Evaluate: [ f(x+y) dA Where D, is the triangle region region in the…

A: Let's solve given double integration.

Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.