2. Given the plane 2x -y-2z = 14 and the point Q = (-1, 3, 1), use the method discussed in this week's video to find the point Qin the plane that is closest to the given point Q and the distance between these points. To check your work, verify that the found point Q* is in fact in the plane.

Q: Determine the following indefinite integral. S7x+3) (7x+3)(1-x) dx Істx+3: (7x+3)(1-x) dx =

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help on my homework

A: The power rule of integration states that the integral of x^n is (x^(n+1))/(n+1), where n is any…

Q: write down the parametric equation for the line that passes through the points (1,4,8) and (3,6,3)

A: If you have any problem let me know here in comment box for this thankyou.

Q: (a) Find a power series representation for f(x) = In(1 + x). f(x) = = - 80 ( − 1 ) n − 1 x n n = 1 n…

A: thank you

Q: I need help on question 3?

A: The image is very blurred.Kindly upload it again.It is impossible to read it. My mother is in…

Q: Evaluate (x-5y+z)ds, where S - Sz 10 x, 0 ≤x≤ 10, 0y ≤ 10.

A: Step 1: Step 2:

Q: Solve the differential equation by separation of variables. Express the family of solutions as an…

A: Solution of the given question is like as

Q: I need help on my homework

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: In Exercises 11-16, describe the set in cylindrical coordinates.

A: To describe the set given by the equation y2+z2≤4, x=0 in cylindrical coordinates, we need to use…

Q: Use Stokes' Theorem to evaluate b F(x, y, z) = xyi + 3zj + 6yk, F. dr where C is oriented…

A: Thank you

Q: Show unnecessary steps

A:

Q: QUESTION 10 Consider the infinite series below. n=1 [In(n)-In(n+1)] i. List the first 3 terms s S 1…

A: Step 1:Step 2:Step 3:Step 4:

Q: ƒ(x) − ƒ(−1) x+1 7. If f(x) = (x²+1) what is lim x-1 (A) -24 (B) -8 (C) 0 ? (D) 12

A:

Q: see pic for question

A:

Q: 28. A cube with edges of length x centimeters has volume V (x) = x³ cubic centimeters. The volume is…

A:

Q: I need help on this question?

A: d To determine the orientation of the function's surface at point f(4, -2) in the indicated…

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. (a) lim x+x (b) lim 8-1x…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Pls help w dis thanks

A: Step 1: Step 2: Step 3: Step 4:

Q: (14,-9) (7,-10) (14,-9) Show that f(fdx+ gdy = f(10) 12x²y dx + 16y3x³dy is independent of path:…

A:

Q: 17. A spherical snowball is melting in such a way that it maintains its shape. The snowball is…

A: So, the rate at which the radius of the snowball is decreasing (dr/dt) at the instant when the…

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A:

Q: Question is on picture

A: Approach to solving the question:Please see attached photos for detailed. Thank you.  Detailed…

Q: QUESTION 6 Save Answer A tank contains 2000 L of water and 30 kg of magnesium. A solution with 0.05…

A: Let's break down the problem step by step. a. To find the rate of change of magnesium in the tank…

Q: The graph of f(x) is shown to the right. Evaluate the following integral using the Trapezoidal Rule…

A: by seeing the points in the graph, I found f(0),f(2),f(4),f(6),f(8)

Q: Find a and b

A: Given that ∫621​f(x)dx−∫612​f(x)dx=∫ab​f(x)dx  This can be rewritten as…

Q: Use Stokes' Theorem to find the circulation of ♬ = (xy, yz, xz) around the boundary of the surface S…

A:

Q: 29. Which of the following is a power series expansion of 6 X 2n X x (A) 1 + + + + + 2! 6! (2n)! 6 X…

A:

Q: Q5 please

A: Approach to solving the question:. Detailed explanation: Examples: Key references:

Q: A2.76 kg particle has the xy coordinates (-1.78 m, 0.871 m), and a 2.88 kg particle has the xy…

A: Step 1: Data given: m1​=2.76 kg,x1​=−1.78 m,y1​=0.871 m;m2​=2.88 kg,x2​=0.183 m,y2​=−0.549…

Q: 80. The function f has derivatives of all orders for all real numbers with f(2) = -1, f'(2) = 4,…

A:

Q: Find the exact value for the expression under the given conditions. 5 5 cos (a + B), sin a= for a in…

A:

Q: Given f(x, y) = 3x6 - 6x²y² + y³, find fx(x, y) = == fy(x, y) = fxx(x, y) = fxy(x, y) =

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the definite integral where the upper limit =7and the lower limit = 4 and f(x)=(2x^2+2)/…

A: To solve : ∫47​((​x)2x2+2​)dxThe fundamental theorem of Calculus states that If f is a real-valued…

Q: 1 26. Let f be the function with f(0) 1 = 2f(2) π and derivative given by f'(x) = (x + 1) cos(x).…

A: Option C is correct.

Q: Find the vector parametric equations for the line. in the direction of the vector 21 – 4j – k and…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Match the slope fields (A)-(B) to their corresponding differential equation (1)-(4). (A) (B) 8 (1)…

A: From the given slope fields, I'll pick  apoint where slope is = 0. At point (1,2), the slope is…

Q: Please don't provide handwritten solution ...

A: Step 1: Given                       The parametric equations of the line are:…

Q: 1

A:

Q: see pics

A: a.)PART 1To get the area for R3, we are tasked to divide the curve into 3 rectangles, therefore, we…

Q: 10

A: Detailed explanation:The calculation we've just gone through involves determining the consumer…

Q: Determine the size of the acute angle, to the nearest whole→degree, that is created by the…

A:

Q: Given log A=3.227 and log,B=0.201, evaluate log AB. A. 3.026 OB. 16.055 O C. 0.649 OD. 3.428

A: The objective of this question is to find the value of log AB given the values of log A and log B.

Q: Find an equation for the integral of the curve of y' through the point (2, 1). y(x) = = У that…

A: Step 1:Step 2:

Q: (a) Find a parametric equation for the line through the point (1,6,2) and in the direction of ai +…

A: Thank you

Q: I need help on my homework

A: Detailed explanation:Detailed Explanation of Each Step: Part (a): Calculation of Elasticity of…

Q: Let f (x) = ex- 1 for 0 ≤ x ≤ 9. Find the area A of the region between the graph of f and the x axis…

A: Given that, f(x)=e−x−1   for   0≤x≤9 We know that, the area of the region between the graph of f and…

Q: A liquid is flowing into a vertical cylindrical tank of radius 9 ft at the rate of 6 ft3 /min. How…

A: The objective of this problem is to find the rate at which the surface of the liquid in the tank is…

Q: Evaluate the surface integral      S F · dS  for the given vector field F and the…

A:

Q: Determine the end behavior of the graph of the function. 3 f(x)=-—-—x6 1 -4x4-x³ +5 3 As x-00, f(x)…

A:

Q: The graphs of the three equations below enclose a region. Determine the area A of the region. y=x+4…

A: Refer to the attached image for the detailed solution: