vertical asymptote z=0 S'(z) > 0 for z < -3 f(z) < 0 for > -3, (z # 0) f"(z) < 0 for I<0 • "(z) > 0 for z > 0

Q: What is the absolute minimum value of the function f(x) = x' - 3x2 on the interval [-2, 4] ? Оа. 16…

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Q: To find a particular solution for 3y" +12y' +39y = e- 3r with the method of variation of parameters,…

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Q: Use the method of Lagrange multipliers to maximize the function f(x,y,z)=4x+2y+z subject to the…

A: Let's find.

Q: Current Attempt in Progress Evaluate the definite integral two ways: first by a u-substitution in…

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Q: Sketch the region of integration and evaluate the integral. 1 y || 15y5 e xy dx dy ... Sketch the…

A: To sketch the region of integration and then solve the given integral.

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. В 600 300 A C If BC = 15, what is the measure of…

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Q: A force of 20 Ib is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: solution:-force, F=20 lbspring stretched,x=8 in=812 ftfor springF=k·x20 lb=k812 ftk=20 lb812 ft=30…

Q: Convert the angle to a decimal in degrees. 78°24'17" 78°24'17" =° (Do not round until the final…

A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

Q: Q-2. Determine the values of x for which the function J (X) =$in Xcan be replaced by the Taylor 3…

A: We have to find the value of x as per given conditions.

Q: (3) 2x Find the linearization L(x,y) of the function f(x,y)= e cos (3y) at the points (0,0) and 0,…

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Q: 1 3. Let f(r, y, z) = Show that Va? + y? + z²° frz + fyy + fz: = 0.

A: answer is in next step

Q: Find the curvature of the curve 7(t) = (3 cos(t), 3 sin(t), 3t) at the point t %3D Give your answer…

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Q: Evaluate (f-1) '(2) for the function f (x) = /x³ + x² + x + 1.

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: We have to simplify

Q: 9. Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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Q: A. Find the area of the plane region bounded by the given curves 1. y = x, y = 2x, and x +y = 6…

A: Note: As per our guidelines we are restricted to solve only one problem. Please upload separately…

Q: Describe all absolute extreme points of P. Select the correct choice below and, if necessary, fill…

A: Let's find.

Q: 1. Find the equation of the plane containing the lines L1 and L2 given below: z = 4t + 3 z = -4s – 1…

A: Given :L1:  x=2t+1, y=3t+2, z=4t+3L2 : x=s+2, y=2s+4, z=-4s-1

Q: Find the area A of the sector shown in each figure. (a) 72° 4 A = (b) 0.5 rad 16 A=

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

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Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: Find the Maclaurin series of the function f(x) = (6x²)e¯1×. f(x) = C,x" n=0

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Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C.…

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Q: The function Y = has undergone the following sets of transformations IfY-x passes through the points…

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Q: Find the derivative of the function at Pn in the direction of A. f(x.y.z) = xy + yz + zx, Po(2, - 2,…

A: The  derivative of f at the given point is given below.

Q: Problem #7: (a) Solve the initial value problem (x - 1)y' - y = 16(x - 1), (2) = 0 (b) Write the…

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Q: x2 - x 1+ 3x? – 2x3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A: Concept:  rectangular box volume : The volume of a cuboid is the amount of space it takes up in…

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

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Q: 1. For each of the following, find where the curves intersect, draw a sketch of the region, and…

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Q: Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R…

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Q: Solve the system. If the system has one unique solution, write the solution set. Otherwise, deter…

A: The objectives to find the solution of the system.

Q: dz Draw a dependency diagram and write a chain rule formula for and given the functions below. z=…

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Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation 3 =y…

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Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: 2x S dx 4e2x –8eª +5

A: Procedure is correct but there are few errors in some of the steps.

Q: is this a ratio test or a nth term test

A: Here, the given series is: ∑n=1∞(n+18)!18!n!18n

Q: Given the slope field below, which function describes the given graph. A. y' = x? + y +1 B. y' = x*…

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Q: Find the equation of the line tangent to 2e"y = x + y at the point (2, 0). Write the equation in…

A: Given query is to find the the equation of the tangent to the curve.

Q: here the curves intersect, draw a sketch of them.

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Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: Evaluate the integral using integration by parts. Do not use any other method. You must show your…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-9)" n2 n- 1…

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Q: etermine whether the series E converges or diverges. If it converges, find its sum. m= 2 elect the…

A: Given query is to find series converges or diverges.