Find the volume of the solid bounded by the elliptic paraboloid z = 1+ 2x² + 5y², the planes * = 5 2, and the coordinate planes. Round your answer to three decimal places. and y Check Answer

Q: Solve the differential equation dy dx y+√√x²+y² X O a. y² = 2x-1 O b. x2 = 2y-1 O c. √x² + y² O d.…

A: To solve the given differential equation.

Q: Find the partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: 76 6 27 6 Σ [5 (2 + (i - 1) =) * - 7 (2 + (x − 1))"] n n as a definite integral, that is provide a,…

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Q: 4. An oil rig lies 20 km off the coast of Newfoundland. A town lies 80 km along the coast from the…

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Q: SEND IN 20 MINUTES PLEASE !!!! Find all extreme points (maxima, minima, saddle points) of…

A: Extreme points of the function fx, y=2x3 + 2y3 - 9x2 +3y2 - 12y

Q: When completing the square, a quadratic trinomial is turned into which one of the following? A…

A: Given.

Q: y = [x + (x + sin² x)³]4 I

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Q: 4. The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

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Q: SEND IN 20 MINUTES PLEASE !!!! Find the absolute max. and absolute min. values of f on the given…

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Q: Differentiate the following function. You do not need to simplify the derivative. F'(x) = F(x) = 6e²

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Q: Let f(x) = 4x + 7 – 17e². Then the equation of the tangent line to the graph of f (0, -10) is given…

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Q: 1.2: The solution of (Se*-3)³ = 32 is a) In 3 b) 2 c) 1 do e) None of the above

A: Explanation of the answer is as follows

Q: Let r(t) = cost i + e^t j + t^2 k be given. A) Find the unit tangent vector to the curve at any…

A: Given: rt= cost i + et j + t2 k

Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A: The objective of the question is determine the vector .

Q: Find the Taylor Series generated by f(x) = (7 · X) ² at X=6 : f'(x) =__9 (7-X) 10 90 ƒ"(x)= (7-x)"…

A: The given function is fx=17-x9 centered at x=6

Q: Write a limit using summations that would equal 0 tan (2x) dx.

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

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Q: (a) Find the rank of the following matrix for all values of a 1 a -1 2 2 -1 a 5 1 10 -61 Show your…

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

Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Using calculus, find the absolute maximum and absolute minimum of the function f(x) = 7x² − 14x + 4…

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Q: Consider the vector whose initial point is P(-6, 6) and terminal point is Q(5, 3). Find the position…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. Including all steps, charts, and derivations details, use the curve sketching methods to sketch…

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Q: 3. a. Solve the differential equation y'= 2x√/1-y² b. Explain why the initial value problem y'=…

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Q: 1. Write and then solve for y = f(x) the differential equation for the statement: "The rate of…

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Q: Evaluate the limit. Note: Enter two 'o's to make infinity (oo). 1 [ In(t-2) lim e³-t Check Answer

A: Given problem:- limt→∞4t,e3-t,1lnt-2

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

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Q: Find the indicated value. fx(9,1) if f(x,y)=9x²y - 5xy³ fx(9,1)= (Type (Type an integer or a…

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Q: This is all one question. I really need help on this. Thank you so much

A: Given: peter goes on a ferris wheel that has a diameter of 36 feet and the distance fro the bottom…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: Topic = Sequence

Q: Differentiate the following function. You do not need to simplify the derivative. f(x) = (In x)5…

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Q: Use reference angles to evaluate sec : (17T). Enter the exact answers. For the number 7, either…

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Q: Let à = (1, -2, 0) and 6 = (1, 3,2). b Find the angle between the vector (in radians) Check Answer

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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8-7-6 -5 4 -3 13…

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Q: Find d dr (73 (7²). Type In(x) for the natural logarithm function.

A: As we know that; The Power law: ddxxn=nxn-1 And the common derivative; ddxlnx=1x   Let, y=7x

Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: From the given data we have to find the value of a2, a3, a4, a5.

Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: Determine whether the following vector field is conservative on R³. If so, determine the potential…

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Q: Differentiate the following function. You do not need to simplify the derivative. dy d.x || y = 2e²²

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy(x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y) =…

A: The given function is: f(x,y)=5xe5xy

Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: B A 876, 5432 -10-9-8-7-6 -54 -3 -2 -1 1234 -1 Graph of f D 1 2 3 4 5 6 7 8 9 10 C x.

A: We will find the required.

Q: Match each equation in rectangular coordinates with its equation in polar coordinates. x² + y² = =…

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Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

A: Derivative of function f(x)=lnx5

Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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