_z = g(x,y)=√x² +2y²

Q: PROBLEM: The area in the first quadrant bounded by x2-8y, the line x=4 and x-axis is revolved about…

A: Use washer method

Q: 2. Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1. 2

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Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: What is the equation of the tangent line to the curve y=x^ +2x −x+8 where x = 1? y = 7x - 3 y = 7x…

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Q: Question 3 Sketch the following function fully: €²-2²-1 y= ²-4 Upload Choose a File

A: Given function, y= (ex-x2-1)/(x2-4)

Q: For the function f(x), whose graph is shown below in blue, find lim /(x). The red vertical dashed…

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Q: Which of the following will make limx→c f(x) and f(c) equal? limx→2 : (x²+x-6) limx→–1 (x³ − 2x + 3)…

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Q: Sketch an angle 0 in standard position such that 0 has the least possible positive measure and the…

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Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

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Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

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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: olve the differential equation y"+4y=sec(2t).

A: To solve the following differential equation  y''+4y=sec(2t).

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

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Q: What is the lim x². In(x) x-0+

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Q: For the next three series, (a) determine the radius of convergence, (b) determine for which a the…

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Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: When is a function Fan antiderivative function f? of a if F(x) is continuous for all x in the domain…

A: Given , When function  F(x) is called an antiderivative of a function of f(x).

Q: Simplify your answers For f(x, y, z) = ln 2+2+ z cos(x + y) + arctan (2) Find f2, 5, and D23 dy

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Q: Based on the graph of the function below, where do the discontinuities of f(x) occur? x = 1, x = -1…

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Q: -i+3j and Y = 4i - 2j + 2k. -Y. 3. Consider the vectors X and Y in R³ where X Find the unit vector…

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Q: What is the derivative of y = (3x + 1)? 21 dx dy = 6 (3x + 1)²¹ dx 6 (3x + 1)² dy dx = 7 (3x + 1)6…

A: To find the derivative of the given function

Q: Using the concept of the derivative of sin x, what is the antiderivative of sin x? -2 cos x + C 2…

A: We know that: ddx(cos x)=-sin x...(1)

Q: dx (x² - 64)² = 256 + x + 8 256 + x-8 2048 In (x+8) - -In (x-8) + C 2048

A: Follow the procedure given below.

Q: Which of the following represents the derivative of fat x? f′ (x) = f(x1¬Ax)+f(x1) Ax f′ (x) =…

A: We have to choose the expression that represents the derivative of f at x.

Q: How many asymptotes (both vertical and horizontal) does the following function have: sin(x) -?…

A: To determine the number of asymptotes for the given function.

Q: If c is a constant, what is the limit of cas x approaches a? 0 C a X

A: given c is a constant

Q: Assume x and y are functions of a third variable t. If xy = 20 and d = 10, find dy dt dt x = 4.…

A: u.v = uddx v + v

Q: Find the lim, lim, 0 0 (cos x)2 Show your complete solutions. No shortcuts.

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Q: please answer #2 #3 #4 find the transcendental curve sketching and the following a. symmetry b.…

A: Since we are given the multiple number of questions and answered according to the guidelines.

Q: Give the general equation of the plane containing the point (3,-1,4) and x 2-2 perpendicular to the…

A: The given equation of the linex2=y=2-z-3which can be written asx-02=y-01=z-23.The given point is…

Q: 32 Which one of the following is the general antiderivative G(a), for g(x) Note: CER Select one…

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Q: 5. y=(x+2)e+²+1 6. y= 3* -9 Inx-2 7. y= 1 12 (ex + 1)²

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Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: Given the piecewise function f(x) = Why is f not differentiable at x = 5? Of is continuous at x = :5…

A: This question is based on continuity of function.

Q: A ball is thrown eastward into the air from the origin. The initial velocity is (50, 0, 80), with…

A: Solution  As per given data, Initial velocity 'v'=(50,0,80) Acceleration vector 'u'=(0,-4,-32) As…

Q: Q3/ Answer one from the following :- 1- Determine the general solution y(x) for the equation 2y" -…

A: Explanation of the answer is as follows

Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: Which of the following is TRUE about the function y domain is greater than 3 O as →→ 00, y → 0 x = 3…

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Q: d.w. Find the lengths for the - r = 1 + cosa

A: Given: r=1+cosθ

Q: m³ The volume of a large spherical balloon is increasing at a rate of 64 balloon's surface area…

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Q: 50° 60° 70° ?

A: To find the measure of the unknown angle in the following figure.

Q: Graph the parabola. y=x+2x-2 Plot five points on the parabola: the vertex, two points to the left of…

A: We have to find the graph

Q: Find the area between the y-axis and the graph X = 543-2-1 1 2 3 4 5 (y - 3) dy = 6.500 (y - 3) dy =…

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Q: What is the equation of the curve that passes through the point (-2,3) and whose slope function is…

A: Integrating the slope equation gives the curve equation

Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: If the graph of f has a horizontal tangent line at x = c and f" (c) is negative, which of the…

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Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

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: Remaining "How Did I Do?" Uses: 2/3 Use the given information to find the unknown value. y varies…

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Q: Find the volume of the solid formed by revolving the graph of y = 2e- on the interval [0, ∞) about…

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