To evaluate the integral 1. 7 64 + x² -dx,

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A: We have to find the work W required to pump the water out of the spout.

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A: This question can be solved using the concept of inverse trigonometric inverse.

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Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

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A: (18)

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A: (9)

Q: Find both first partial derivatives z ² = In ( \ ) (No Response) (No Response) az əx дz ay

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Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

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Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

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Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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Q: (a) [2 2 2x dx

A: Note: As all are different questions, as per our company guidelines we are supposed the answer the…

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

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A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2

Q: 23. Given f(x) is graphed below, sketch f-1(x) on the coordinate plane with f(x). (1,2) -5- 0 (1, 1)…

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Q: Consider the following. w = xy cos z, x = t₁ y=t5, z = arccos t (a) Find dw/dt by using the…

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Q: 1 2-4 를 -5 금 dr

A: Since the third question is incomplete, solve first and second integral

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A: We have to find the area is -π/4 or not.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The Disk Method :  Consider the curve x=f(y) and the y-axis between y=a and y=b and is rotated about…

Q: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: A rate of change of H is given by Solve for k where H > -25. O 0.458 O 0.346 0.255 O 0.144 dH = k…

A: topic- differential equation

Q: Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level…

A: Given that, the function is z=c=x2+3y2 and c=0,5,7,9,11,13. For c=0 the function c=x2+3y2 becomes…

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A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: A polynomial f(x) and one or more of its zeros are given. f(x)=x²-2x³+3x²+4x-10 1-2i is a zero

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Q: Find the Taylor or McLaurin series for the following functions f(x) = X 4+x², a=0

A: Here , we have to find out the Taylor series expansion for the given function.    Where , given…

Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: 8 n = 0 Identify an (-7)" (2n + 1)! Evaluate the following limit. an+ 1 an lim 718 an+ 1 Since lim…

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Q: (x³ + xy² + y)dx + (y³+x²y + x)dy = 0

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Q: Recopy the picture onto your paper for best results Given: mLBEC = 46°, mzDEC = 29°, CD=7, AD=8 B C…

A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

Q: • You will not receive credit if you submit your assignment late. P 1. ( Find the center, foci, and…

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Q: Find the solution of the given initial value problem 150y" + 25y"+y′ = 0, y(0) = −14, y′(0) = 10,…

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Q: A 10​-foot ladder is leaning against a vertical wall​ (see figure) when Jack begins pulling the foot…

A: Here we have to find the rate of change.

Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Question 12 a)! Let C be a curve defined by the vector equation r(t)=. P(32, 52, e³2) Show that the…

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Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation