Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the following methods with n = 4. f(x) = 6x + 5 from x = 4 to x = 6 a. Use left endpoints. b. Use right endpoints. c. Average the answers in parts a and b. d. Use midpoints.

Q: 5. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3 Then the area…

A: We know  that the area under the graph of a continuous function f (x) between the vertical lines x =…

Q: Shen is driving to Phoenix. Suppose that the distance to his destination (in miles) is a linear…

A: This question is related to linear equations, we will solve it using given information.

Q: Verify the divergence theorem for A = 2xyi -yz(^2) j + xzk taken over the region bounded by x = 0, y…

A:

Q: Sx³√4 - 2x² dx 3

A: We have to solve integration

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y=2x + 1 and…

A: find intersection

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Given that the region is bounded by y=2x2 and y=x3 about the x-axis.

Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. The volume…

A:

Q: Find the derivative. f(x) = e. 3x

A:

Q: A balloon is release from the ground 200m from an observer. The balloon rises 42 directly upward at…

A:

Q: = Assuming that y = - sec(xy). It will follow that y' Select one: True False y sec(xy) tan(xy) 1-x…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Determine the indefinite integral. 25 dx x In 7x 25 S= Sx157x x In 7x dx =

A:

Q: Evaluate the integral: –(9z²+7x) dr %3D (1-1)(z+1)²

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx

Q: f sin x ln(cos x) dx

A:

Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

A:

Q: For the function f(x): - 3x + 10, evaluate and simplify the difference quotient. Question Help:…

A: The difference quotient of a function f(x) is given by, f(x+h)-f(x)h

Q: Find the area bounded by: x = y2 and y = - x2

A:

Q: apn below, state whether Graph 1 2- -8 -2 O Yes Graph 4 8. 4 OYes O No 6. 2+ O No resents a…

A:

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: answer is in next step . please give a like

Q: Sa -1 dx (1+x²) 12/2

A:

Q: Given cost and price (demand) functions C(q) = 130q+47,500 and p(q) = -2.8q +820, how many items…

A:

Q: Determine the radius of convergence of the following power series. Then test the endpoints to…

A:

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

A:

Q: Let L(c) be the length of the parabola f(x)=x² from x = 0 to x=c, where c20 is a constant. a. Find…

A:

Q: An electric elevator with a motor at the top has a multistrand cable weighing 7 lb/ft. When the car…

A:

Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: S= 4 dx 2 3 X³_4x² +8x 니

A: We need to evaluate integral.

Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

A:

Q: Determine the radius of convergence of the following power series. Then test the endpoints to…

A:

Q: 13. Given the triangle below, find the value of c to the nearest tenth. side c = units 33 b 3.4…

A: Explained below

Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis.…

A:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: Given :The sum of first number squared and second number is 51

Q: Find d. dx (36x+4)

A: Find d/dx .

Q: ) Find dw if w = xe³/², x = t², y = 1 — t, and z = dt 1 + 2t.

A: Topic:- application of derivatives

Q: - Given cost and price (demand) functions C(q) = 100q + 45,300 and p(q) = 2q +900, what profit can…

A:

Q: 3. Let R be the region bounded by the curve y = √√x, the line y = 1, and the y-axis. Use the shell…

A: We need to find volume.

Q: nd the area bounded by the given curves, axes and/or line 1. у? + х — 4у %3D5;B у-аxis 2. у %3D 3х —…

A: Here I am providing my handwritten solution

Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

A:

Q: € 4. If y=u² and u = x³ + 4 determine dx

A:

Q: If f(x) = 10(sin(x))", find ƒ'(2).

A:

Q: Find the partial fraction decomposition of 2 + 2x-8

A:

Q: Below is the graph of y=x. Transform it to make it the graph of y=-x-4-2.

A: a) y=-x-4-2b) y=-2x-4

Q: The two-dimensional Laplace equation, f(x,y)=-4x+2y-7 Find 2x² 22²4 for the given function. 2²1 2²²…

A: Given function f(x,y)=-4x+2y-7

Q: 2) 1 V1-x² dx

A: The given integral,      ∫11-x2dx

Q: The graph of the equation x2/3 +y2/3=52/3 is one of a family of curves called astroids because of…

A: solution:-equation of curveastroid x2/3+y2/3=52/3the length of half the first-quadrant portion…

Q: S √4x² +9dx

A:

Q: ude 5. Find the area of the triangle created by the

A:

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

A:

Q: 3. A box sitting on a wagon pulled a distance of 27m by a 35N force applied at an angle of 40° to…

A:

Q: determine the instantaneous rate of change in: a. surface area of spherical balloon (as it…

A:

Q: 1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the…

A: