2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and R=(5,7,-1). 3. Suppose that is a function of r and y that satisfies the equation əz x-z-sin(yz) = 0. Compute and Əz дх dy

Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and…

A: Given

Q: Hint: Use polar ca

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Q: (ارفق الاجابة) The eigen value of matrix [1] O 1+i, 1-i O 1+i, i 0 1,-1 1-i, 1-i *

A: On solving this we will get

Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. 4.…

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Q: dy ssuming 5x³ +9y² − 4xy = 0 defines y as a differentiable function of x, use the theorem == dx Fy…

A: Given query is to find the derivative at indicated point.

Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.

Q: 4. The region is bounded by y = x³, y = 2x + 4 and y=-1. The x coordinate of the centroid of the…

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Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

A: Let's solve given diffrential equation by using separation of variables.

Q: (b)show that: I(cosh at cos at) = s*+4a"

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Q: Evaluate [*²*3 sin 2x dx

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Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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Q: Evaluate (²6² 0 Oa. 16 946 O b. 16 936 O c. 8 945 O d. None of the choices. O e. 16 945 1 1-y - xy…

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Q: Find the slope of the line if it is defined Through (-6,-7) and (-1,12) Select the correct choice…

A: Given query is to find the slope of the line.

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The x-coordinate of the centroid of the…

A: We first sketch the given region using a graphing calculator.  We will consider the graphs about…

Q: Part III: Equation Conversions 4 1. Convert r= into a rectangular equation. 2-sine 2. Convert 2x -…

A: Topic:-  polar and rectangular coordinate system

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

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Q: In 1991, there were 41,144 shopping centers in a certain country. In 2001, there were 48,157. (a)…

A:

Q: 1) Consider the spherical equation given by p = 4 cos 0 sin p. Determine its corresponding equation…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: Given the following characteristics, select the function family that is described. Shape: single…

A: Graph of logarithmic function

Q: Verify that 2+ ?х ду 2+ дудх : for f(x, y) = 2x³y6 – 4x5y4.

A: Partial differential.

Q: (x) = x² tan 3x+cot 3x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: If x = t² and y = t³, then y O t 3/4t O 3/t Other: = ?

A:

Q: 2. y = (x + 1)2 and y = -x + 1

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded…

Q: A box with a square base and open top must have a volume of 171500 cm³. We wish to find the…

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Q: 2 I 2 Vr +25 dz

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: me rose r = 4 cos 30 has 1 petal cannot be determined 6 petals 3 petals

A: Topic:- application of functions

Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

A:

Q: Sx² + 4 ; x<2 Question (4): Using the definition, determine whether the function f(x) = (3x + 2 = ;…

A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: Find the following improper integrals a) dr b) fodr

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Q: For the given cost function C(z) = 250√ + find 8000 a) The Justion loval 1000 TUNING b) T. duction…

A: For the given cost function Cx=250x+x28000, to find d The production level that will minimize the…

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: Answer and give the complete solution. A 6-ft tall man is walking away from a 15-ft post at a rate…

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Q: 9n + 5 5 | 4m3 + 2n? + 5

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Q: lim 81x √16x2 4x

A: lim   16x2/4x x --&gt;∞   lim   4x/4x x --&gt;∞ = 1

Q: Evaluate the limit : lim √x+1-2 X-3 x²-9

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Q: Given f and g are continuous functions and f(x) dx = -3 and g(x) dx = 5. What is [3f(x) + 2g(x)] dx…

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Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: We have to find the rate of change of volume.

Q: If x = t² and y = t³, then O O 0 03/1 3/41 Other: =?

A: Given a equation of a function in parametric form.

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: Determine the absolute extrema of the function ?(?) = sqrt of x - 9 on the interval [9,45]

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Q: Find Maclaurin series for the following functions Ans. Σ 2) 5 sin(-x) Ans. (-5x)" n! 5(-1)"(-x)2+1…

A: The given function is 5sin(-x). Repost the next question.

Q: Which of the following statements are FALSE about the method of variation parameters? I. II. If y₁ =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 25 : A street light is at the top of a 19 ft tall pole. A woman 5.5 ft tall walks away from…

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Q: Which of the formulas below will give the area of the region enclosed by the polar equation r = 4…

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Q: Find the slope, if it exists. x = -6 Select the correct choice below and fill in any answer boxes…

A: Given x=-6 The graph is

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

A: