Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1, 9, 0)

Q: Convert the point (x, y, z) = (-4, -2, 0) to cylindrical coordinates. Give answers as positive…

A: We can solve this as follows:

Q: 12. DETAILS Find the area of the surface generated by revolving the curve about each given axis. x =…

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Q: Let P(n) be the statement. n is a multiple of 3 and Q(n) be the statement. n is a multiple of 5.…

A: We have to find the true statement.

Q: 8. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 3 - x² on the…

A: We need to choose correct option.

Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: Determine the equation, in y= mx + b form, of the line that is perpendicular to the slope of the…

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Q: Let f(x) = x^2 + 3x^2 + 9. d) The absolute maximum value(s) of f(x) and the absolute minimum…

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Q: Describe at least two (2) similarities found in methods of integration and methods of…

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: Find the solution of the differential equation. 2y’’+2y’+y=0 theme: repeated roots; order…

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Q: Let f(x) = (x²2 - 5)e¯* (x > 0). Find the critical points c that correspond to local minima. (Use…

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Q: Determine the area of the region bounded by x = y² + 1, x = 5, y = −3 and y = 3.

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Q: Describe in words the surface whose equation is given. p = 5

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Q: Evaluate the following integral 8xyzdV in the region R where R: 2<x<3, 1<y<2, 0sz≤1

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Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: dy 2x = (3y + x)- dx

A: Given, 2x=(3y+x)dydxdydx=2x3y+xPut y=vxDifferentiate…

Q: In each of the problems, apply the method of reduction of order to find a second solution of the…

A: We have to solve given Questions.

Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Let r(t) = Find 7' (t) 7' (t) =<

A: Please refer to the image below

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2?). Enter your answers…

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Q: Two ships leave a port at 9 a.m. One travels at a bearing of N 53° W at 12 miles per hour, and the…

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Q: nsider the given vector field. F(x, y, z) = 3xye²i+yze k (a) Find the curl of the vector field. curl…

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Q: A mountain climber is about to haul up a 20-m length of hanging rope. How much work will it take if…

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Q: Convert the point (x, y, z) = (4, 1, 4) to spherical coordinates. Give answers as positive values,…

A: The spherical coordinates of the point x, y, z is ρ, θ, ϕ where ρ = x2+y2+z2 θ = cos-1zr ϕ = tan-1yx

Q: The liquid base of an ice cream has an initial temperature of 85°C before it is placed in a freezer…

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Q: use taylors formula to find the cubic approximation to f(x,y)=sin(6x+y) near the origin

A: Given Function,fx, y = sin 6x + y

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

A: By using Lagrange multipliers to find the indicated extrema, assuming that x and y are…

Q: The monthly sales S (in hundreds of units) of skiing equipment at a sports store are approximated by…

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Q: he acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

A: topic:- application of integration

Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' S(t) =…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=87, b=56 take t=10

Q: Let f(x) = x^2 + 3x^2 + 9. a) Find all critical numbers of f(x). b) Find the Absolute Extrema…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

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Q: 2x += 2 +플) Describe the phase shift of g(x) = -3tan 2x + an(2x What phase shift? O right left right…

A: Given problem:- Describe the phase shift of g(x) = - 3tan(2x + π/2)

Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 100°,  a…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: 9. (True/False) If f(x,y) is a continuous function on a closed, but unbounded set D, then f(x,y)…

A: False     because there are some functions which are continuous on a closed, but unbounded set,…

Q: Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Given the initial value problem 2 y y' + = 0, y(0) = 28, y'(0) = b, 5 25 Find the solution as a…

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Q: Give the reference angle for 8= O 5 T 12 O 07T 12 O None of these It has no reference angle TT 12 7π…

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Q: 3. Evaluate S dA where R is the region between y = 2x and y² = x³ lying to the R left of x = 1.

A: Let's evaluate double integral.

Q: 6. DETAILS Find the equations of the tangent lines at the point where the curve crosses itself. x =…

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Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

Q: Find the solution of the differential equation. 9y’’+6y’+y=0 theme: repeated roots; order…

A: topic:- differential  equations solution

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: (0) + ]) (²) 500+ ( [ (x)500 = (T) = = ()UIS = (x + 2)UIS (x) = (x+

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