(x-4)2 (y+1)² Problem #4: Find the slope of the line tangent to the conic section 16 = 1 at (4,6)). 25

Q: 12. r + 2y? + 20 = 0 (A) not a function (C) function; domain: (0, 00) (B) function; domain: R (D)…

A:

Q: dy olve the O.D.E’S y + 4 = 2x using separable of variables. dx

A: Here is the solution:

Q: In the curve y= 2t 12x -x°. fincl the critical points. (Noie : Critical p are pcint where in the…

A: Given :y=2+12x-x3

Q: Solve the system. Use any method you wish. 9x2 - xy + y2 = 11 2x + y = 4 List all the solutions.…

A: In this question , we can find the solutions of the given system .

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in…

A:

Q: Which of the following statements is true about the function f(x) = a3 + 6x2? a. None of these. O b.…

A: Solve the following

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Q: Find the solution of each inequality in the interval [0, 27). (Enter your answers using interval…

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Q: Which formula would be used to calculate the left rectangle approximation of o 4xdx using five…

A: We need to choose correct option.

Q: Use the numeric integration feature on your calculator to find the integral. 4. 27) A) 0.88623 B)…

A: We can find the answer as below.

Q: which of the following polar equations represents a cardioid? -r= 3-2cose r= 4+4sin0 r= 2+3sine T…

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Q: 23) 4у" - 8y'+5у%3D0, y(0) = 0, y'(0) = 1.

A:

Q: a) Let E be the solid that is above the xy-plane, enclosed by z = 18 and = 2. Evaluate the following…

A: Given integral E be a solid above xy-plane and enclosed by z=18 and z=2r2   and triple integral…

Q: Let D be solid cone /x² +y² <:<1. Use CYLINDRICAL COORDINATES and find the mass if the density is ô…

A: To find the mass .

Q: angles d. greater than either remote interior angles 2. The two sides of a triangle has lengths of 7…

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Q: Julissa wants to find the measure of ZA in A ABC. Step 1: 11 = 7? + 9 - 2·9.7.co COS X Step 2: 121 =…

A: A detailed solution is given below

Q: Find the volume of the solid in R' bounded by y = x2, x = y?, z = x + y + 27, and z = 0.

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Q: In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the %3D…

A: We have to find maximum directional derivative.

Q: Write the augmented matrix of the given system of equation X+y-z = 8 3x – 4y = 2 5x + 2y - z = 4 The…

A:

Q: Use the Table of Laplace Iransform fo find the Laplace Transfom of the given function. a. te-3t +…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: 3 6. Work Problem 3 (e ): v1 = 0 |, U2 = 02 vectors from %3D 1 a) [' Determine if the vectors {v1,…

A: Vector

Q: Which of the following correctly describes the function f(x) = 4x4 – 32x³ + 89x2 – 95x +29? none of…

A: This is a problem related to function. Based on the graph of the given function we will answer the…

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: Given, Aim: To Find AC

Q: Suppose that f is defined everywhere and 1 are the only critical numbers for f. If f"(x) = 2x + 1,…

A:

Q: H-w 2x +3 dx メ+2 X X 3 X2+ 2X+1

A: Topic:- application of integration

Q: (a) Find an equation for the total surface area of the material to be used to make the tent (b) If…

A: It is given that, A rectangular tent is made to have a square base with two partitions inside that…

Q: Evaluate the following limits lim as h approaches 0 (h-2)^2-4/2h lim as n approaches infinity…

A: The given limit,      limh→0h-22-42h Note:     Multiple questions are given, we are answer with only…

Q: Jse u = 6x and v' = sin(x).

A:

Q: A survey of 48 people was conducted to compare their self- reported height to their actual height.…

A: Given that a survey of 48 people was conducted to compare their self-reported height to their actual…

Q: Compute the derivative d/dx of the following functions: y = 2 sec x − csc x x cos^2(4x)…

A: y = 2 sec x − csc xDifferentiate w.r.t.xdydx=ddx( 2 sec x − csc…

Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: f(æ) = / t2 – 9 dt 1+ cos? (t) At what value of x does the local max of f(x) occur?

A: Given: For the local maximum value of f(x), we must have f'(x) = 0. Here,…

Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

A:

Q: Evaluate the following integrals. Show all the necessary solutions. 2. y In?(1 + 3*) dy 1 + y²

A: I=∫y ln7(1+y2)(1+y2) dyI=∫ y ln(1+y2)7(1+y2) dyln(1+y2)=t1(1+y2) (2y) dy =dty(1+y2) dy=dt2

Q: Find out all the relative minimum and maximum values, and sadle points of the function h defined by…

A: Here we have h(x,y)=x3-3x+3xy2 .............................................. (1)

Q: Find the area under the graph of the function over the interval given. 32) y =x2 +1; [0, 1] A) D)를…

A: Given :y=x2+1   0,1

Q: S (1+ 3x)*dx

A:

Q: Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B)…

A: We can find the area as below.

Q: Consider the Region R in the first quadrant that is bounded by the curve 2 =4x , the line x = 1 and…

A:

Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = x2 + Y (x, y) # (1, –1) x +y is…

A: Here, the given function is: f(x,y)=1;   (x,y)=(1,-1)x2+yx+y; (x,y)≠(1,-1) lim(x,y)→(1,-1)

Q: A bowl of soup at 95 C (too hot) is placed in a 22•C room. One minute later, the soup has cooled to…

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Q: 25 1 21

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Q: (3) Is f(x) = 2x a solution to the differential equation f(x)–xf'(x) = 0? Explain briefly. %3D

A: The differential equation is f(x)-x·f'(x)=0

Q: It takes twice as much work to stretch a certain spring from 9 to 10 in., as it does to stretch it…

A: It takes twice as much work to stretch a certain spring from 9 to 10 in., as itdoes to stretch it…

Q: What is the absolute maximum value of the function f(x) = x' - 3x? on the interval [-2, 3] ? а. ) O…

A: We have to find the maximum value of the function

Q: Соpy of The global minimum of f(x) = x³ – 4x over the interval -2< x<3 occurs at what value of x? O…

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Q: cuiing What are the angles where sin 6 can be considered as almost equal to tan 0 (equation 8.3)?…

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Q: Find the radius of convergence and the interval of convergence of the series. n!x" 1.3.5 ... (2n –…

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Q: elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal.…

A: Given  Slope of hill α=10° Angle of elevation from slope β=39° Length of shadow on hill slope L'=24…