Identify and sketch the graph of y = r²+1 in R³.

Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: Write the following sets in set-builder notation. There may be more than one correct way to do it.…

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Q: √x²-3-1 x - 2 A. lim x-2 tet B. lim to et +1 C. lim x→1 x² + x - 2 x² - 1

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Q: Q1: Find the general solution of the following first order D.Es a) (xy² + x)dbe+(a + y)dy =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Given: x In y + y2 z+z2 = 8 Find: ?х дz -y²-27 In y -In y y²+2z -(x+2y²z) y(y² +22) -yln y x+2y²z о…

A: The objective of the question is evaluate the partial derivative and choose the correct option.

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz

Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

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Q: What is the indefinite integral of f (x) = x² + 12? f (x² +12) dx = 3 + 12x + C 1 3x³ S(x² + 12)dx =…

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Q: C. 1-3/5 (6x³+11x² - 4x) 18x² +22x-4) dx

A: We can solve this as follows:

Q: 22 Given the cross product of 2 vectors u and vis, u x v= -3i-3j+3k, and their dot product is,…

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Q: 0, -5<z<0 92, 0≤z<1 then 11, 1<x<5 E If f is the Fourier series of g(x) = f(z)- What does f(-5)…

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Q: Given f(x, y, z) = zey 02 √√3 O 2e² 01-1 √3 O none of the choices 0 0 √3 x sin (3), what is fzz…

A: Differentiate and put the appropriate values.

Q: Find the indicated partial derivative. f(x, y, z)=euz²; fzyz fxyz(x, y, z) =

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Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

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Q: b) Suppose to i that and V х-у Calculate the x and and y by and Jacobian ð (u, v) 2 (x, y) hence…

A: Suppose that x and y are related to u and v by…

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: What is the lim+∞0x².e-²? For answers write... that are in decimal form and round off fractions to…

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Q: FIND y' ● 5x³3y5 = 4x²y + 10

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Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Using the limit definition of the derivative

Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

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Q: Which of the following diagrams represents the solution to this system of equations: [1 2 0 17 0 0…

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Q: 16 12 8 0 2

A: Given problem :- Consider the solid of revolution obtained by revolving about the x-axis the region…

Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…

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Q: For which values of a and b E R is the following piecewise function continuous on IR? sin(a )+ ax0 x…

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Q: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

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Q: Evaluate: Express your answer in three decimal places. limx→8 √√x-2

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Q: Question 2 Evaluate: Express your answer in three decimal places. limx→8 e-2 a-8

A: The objective is to evaluate the limit.

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: 7 Which of the following functions is not differentiable on all of R? Select one alternative:…

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Q: 36 In the evaluation of fa* cos(a) dar, which one of the following is an integral that is involved…

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Q: Solve the following. 1. Find the volume generated by revolving the first-quadrant area bounded by…

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: To find the hight change.

Q: Evaluate the surface integral [[ F.ds where F(x, y, z) = (x³ +y³) i+(y³+z³) j+(z³+x³) k S and S is…

A: We will calculate surface integral , use of divergence theorem

Q: the base radius and height of a right circular cone are measured as 10 cm and 25 cm, respectively,…

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Q: Evaluate the following integrals. y = f(x) a. b. C. d. 16 0 f(x) dx [f(x) dx Ja (2|f(x) +3f(x) dx…

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Q: d- ax d² y +6. dx² d³ y dx3 - - Q.2-Solve the differential equation dy 15 - 100y = 0 dx

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Q: C- - 0 x4 (1-√x)5dx

A: we  need substitution method to evaluate given integral

Q: Write the first five terms of the sequence: +∞ {√n² + n n n=1 Determine whether the sequence…

A: The given sequence is;  (sqrt(n2+n) -n).

Q: Which of the following is TRUE for all? All functions are continuous at all points in its domain.…

A: Given :   Continous and differentiable functions

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

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Q: 5. Based on sales data over the past year, the owner of a DVD D(p)-40-2p where D(p) is the number of…

A: answer is in next step.  Since you have posted a question with multiple sub-parts, we will solve…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it.  The…

A: Let's evaluate given integral.

Q: d- ax d³ y dx3 +6 d²y - 15 dx² Q.2-Solve the differential equation 15-100y = 0 dx

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Q: Given: f(x, y) = ln[1 + x siny] Find: g² f(x,y) 8x² 2 sin y (1+xsin y)² sin² (1+2 sin y)² 1+2 sin…

A: In this question, we need to find the second partial derivative of the given function.

Q: d³y dx3 +69²y dx² - Q.2-Solve the differential equation dy 15 d - 100y = 0 dx

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Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Evaluate the line integral F(x, y, z) = (x,-z, y). Jo F. dr where C is given by r(t) = (2t, 3t,…

A: We will use concept of parameterization to solve this.