Find the gradient field of the function, g(x,y,z) = e 3z - In (x +2y).

Q: The point (3, 7) is a

A: Follow the procedure given below.

Q: evergreen nursery usually sells a type of shrub after 5 years of growth and shaping. The growth rate…

A: Given query is to find the height function and the height of the shrubs when the sold.

Q: O False

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Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

A: Given, e(2ln(4)+4ln(2) Simplifying the above expression we have,

Q: A rotating light is located 12 feet from a wall. The light completes one rotation every 5 seconds.…

A: Here we are given that the light is located 12 ft from the wall and completes rotation every 5…

Q: ,2 Which of the following is true for the series e1/n n=1 Select one: O Converges to 0 O None of the…

A: We need to find the convergence of series  ∑n=1∞ e1n2

Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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Q: Evaluate: Σ 1°e(2+x)i+2x

A: The given expression is: ∑i=0∞1i!xi1ee2+xi+2x. We will use the fact: 1e=1 to simplify it. So it…

Q: Complete the parametric equations for the line where the planes – 8z – 2y – 5z = 0 and - 4x + 2y –…

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Q: in 5-- 2 34 6. Graph of f The graph of the function f is shown above. Which of the following…

A: here we can see than the f(x) is discontinue at 4  so if function is discontineous it means the…

Q: – x² , Y2 = x² Y1 16 · x Rotate @ y – axis SHELL METHOD B V = 2. | (C.x² – E · a²)· dG • T: K A…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: d'y If 4x2 + y = 40 then evaluate when = 3 and y = 2. (Answer accurate to two decimal places.)

A: Topic = Derivative

Q: The area of an equilateral triangle is decreasing at a rate of 3 cm^2/min. Find the rate (in…

A: We want to find the rate (in centimeters per minute) at which the length of a side is decreasing…

Q: The order and degree of the following equation is dy y = px – Va?p² – b²,where p = dx

A:

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Part 1: Let h be the height of AWXY. Find the length of the corresponding base. | cm 14 cm Part 2:…

A: Part 1  as h is height  base is WY length of base = 14 cm

Q: 12) What is the value of A+B in the following ellipse? The points are foci. a) 30 B) 20 c) 15 d)…

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Q: Find the limit. lim (t i – 6 j + r² k) lim (1 i- 6 j+? k) = i i+ i j+

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Q: dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential…

A: From the given differential equation find the type of differential equation

Q: Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0, 0,0), (6, 0,…

A:

Q: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given

Q: The r.m.s. value of f(t) V2x – 1 across [-2,1] is Answer:

A:

Q: Give some examples of geometric problems that can be solved using the parametric equations of a line…

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Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

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Q: Use the method of undetermined coefficients to find the general solution of the equation y" + 16y =…

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Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: We can solve the given problem as follows:

Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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Q: Find the maximum rate of change of the function f(x,y) = sin(xy) at the point (0,1) and the…

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Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Table for an exponential function The function g is defined…

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Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 12 – x, and y = 0 is…

A: Follow the procedure given below.

Q: Find the gradient of the function at the given point. In(x? - y) - 3, (2, 3) Vz(2, 3) -

A: We have to find the gradient of the function z = lnx2-yx-3 at the point 2, 3.

Q: „5V7/2 V 25 – x2 xy dy dx + xy dy dx dr de = Jo

A:

Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.

Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

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Q: Choose the point which shows the correct location for the polar coordinate (2, 57). 90°2 WIN 4 F7…

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Q: QUESTION 3 List the ordered pair for the following graph. a d e…

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Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A: A circle is inside a square.The radius of the circle is decreasing at a rate of 4 meters per minute…

Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: Find a polar equation for the curve represented by xy = 4.

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Q: Find the area of the shaded region. r = V cos 20 r = 2 cos 0 NOTE: Enter the exact answer. A =…

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Q: Find the QR factorization of the given matrixX. -4 7 -6 -4 -2 -3 -2 8 9.

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Q: Sketch the curve with the given polar equation.

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Use the disc method to find the volume of the solid.

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Given problem:- Find the volume of the solid that results when the region enclosed by y = √x, y = 0,…

Q: x² - 4 lim 1-2 +2 O-00 O 4 O 4 O 2

A: Use  a2-b2=(a+b)(a-b)

Q: Find the vector projv u if v= 5i +jand u = 2i+V17/

A: Use vector projection formula and dot product.

Q: 2" is convergent. The series 2 n=1 h+1

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Q: cos³ x .3 S dx 1+ sinx

A: