Evaluate S 0 1 ㅠ -dx exactly and show that the result is 1+x² 4 integral using the trapezoidal rule with n = 4 subdivisions. Use the result to approximate the value of T. The approximate value of π is: Give your answer accurate to four decimal places. Then, find the approximate value of the

Q: Find the vector w of length 7 in the direction of v = 11i + 10j. (Give your answer using component…

A:

Q: A geometric sequence will have a common ratio between each consecutive term. O True O False

A: when ratio of any two consecutive terms in the geometric sequence are same same then that is known…

Q: 3. Given 2 sin xy = 1, evaluate dy/dx. Assume each equation implicitly defines y as a differentiable…

A: Given , to evaluate .Note: Since, the student has mentioned to solve question no. 3, so we are…

Q: 1. Evaluate the indefinite integrals. So ) / (√² + 1/2 ) de 1 / (+² + ₁ + 2) dx 1/1 x (a) (sin (7x)…

A:

Q: what is g'(x) when g(x) = log2(6x^3 + 3).  the "2" after log is suppose to be below. Thank you

A:

Q: Calculate f (x + 4y) dx dy, where D is the shaded region in the figure. x + 2y = 10 x+2y=6 10 Hint:…

A:

Q: Set up an upper Riemann sum for the area under the curve f(x)=x+x² over the interval [3,5]. After…

A:

Q: Given f(x, y, z)=√x +2y - 4z, find fx(x, y, z) = fy(x, y, z) = f(x. U. z) =

A:

Q: Let r₁(t) = (-2, 3, −9) + t(0, 2, -1) and r₂(s) = (10,-1,5) + s(4, 0, 4). Find the point of…

A:

Q: If the total cost function for producing x lamps is C(x) = 4410 + 35x + 0.9x² dollars, producing how…

A:

Q: Compute the gradient for f(x,y) = 2+3x²-5y² and evaluate it at P(2,-1)

A:

Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

A: By using disk or the shell method to find the volumes of the solids generated by revolving the…

Q: Find ||uv|| if u = (1, 2), v = (8,2). t (Express numbers in exact form. Use symbolic notation and…

A:

Q: At a certain ocean bay, the maximum height of the water is 4 m above mean sea level at 8:00 a.m. The…

A: Solving the problem

Q: A college radio station surveyed incoming freshmen to gather information about the types of music…

A: All the data given in question.

Q: MUINGWEVER Use double integrals to compute the area of the region bounded by y = 7+7 sin x and y=7-7…

A:

Q: Find the derivative of f(x) 3 = 5+51 when x = -1 x² Make sure to show your work neatly and attach to…

A:

Q: rue or False: The equation (x−8)2 / 41 + (y+1)2 /25 = 1 is the equation of the ellipse with…

A:

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F= (y² +2²) 1+…

A:

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.…

A:

Q: Find the general solution of the given second-order differential equation. 18y"9y5y = 0 y(x) =

A:

Q: Suppose that f(x, y) = 3x +9y at which {(x, y) | -3 ≤ x ≤5, -3 ≤ y ≤ 5}. D Then the double integral…

A:

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: Which graph is the -10-9-8-76543210 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 4 9 10

A: Explanation of the answer is as follows

Q: (a) lim (cosz)1/z x) 1/x² +0+x

A:

Q: Evaluate ∞ dx Jo e²x

A:

Q: Determine the radius of convergence & (a) Z (x-3) 110 6 Ž n=1 n (x-хо)"

A: The given power series,(a) (b) We have to the radius of convergence of each series.

Q: 3. Evaluate each of the following limits, if they exist. lim (1+¹)* [A5] a) x²-√√x b) lim x-1 √x-1…

A:

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A:

Q: Given the function f(x) = 2x^1/3 what is the valid formula for the instantaneous rate of change at z…

A:

Q: Using the formulas solve the following integrals b) (d) dx x² +10

A: Here given that a integration and we solve this integration by using general property of integral.

Q: Find I so the distance between (3, -3) and (x,-11) is 10. List all possible values, separated by…

A: Find the x so the distance between (3,-3) and (x, - 11)  is 10.

Q: p4-y² SV/² √√²-x² √2+2+2 dz dy dx So 2x²+y²

A: To evaluate the following integral.

Q: E -10 Constructing Polyno... Ali Ibrahim -5 100- 0 -100 Building With Equations ·10 5 10 Submit

A:

Q: s(t) = 0.72(1.081¹) dollars where t is the number of years since 1995, data from 3 ≤ t ≤ 13.t (a)…

A:

Q: Determine the interval(s) on which the following function is continuous. x² - 6x +8 x²-4 f(x) = ...…

A:

Q: The figure shows the graph of r as a function of 8 in Cartesian coordinates. Use it to sketch the…

A: The graph of r as a function of  in cartesian coordinate is shown as

Q: Write the equation of the sphere in standard form. x² + y2 + z² + 6x – 4y - 4z = 8 -

A:

Q: Multiply. (−8+9i)²

A:

Q: Define A(x) to be the area bounded by the x and y axes, the line y=5, and a vertical line at x as…

A:

Q: Find f'(a). f(x) = √1 - 6x

A:

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A:

Q: Find the area bounded by the curve, y = 4 – x^2, and the axes. Plot the figure. show complete…

A:

Q: Find the volume of the following solid. The solid S between the surfaces z=2exy and z= -3e-y, where…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 Lit/min. Find…

A:

Q: At time t=0, a particle is located at the point (6,7,8). It travels in a straight line to the point…

A: At time t=0, a particle is located at the point (6,7,8). It travels in a straight line to the point…

Q: Use the information about values of the functions and their derivatives to calculate H'(3), where…

A:

Q: a. Find the derivative function f' for the following function f. b. Find an equation of the line…

A:

Q: (1) Leading term is 12x5 (2) Has two non-real complex roots 1 (3) Has a real root at x = 3 2 3 4 9 -…

A: We have three statements1. Leading term is 12x52. Has two non real complex roots 3. Has a real root…

Q: 2. Consider the piecewise function: a) Sketch the graph of y = f(x). b) Evaluate lim f(x). c)…

A: