Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

Q: 13. Let M be the region under the graph of f(x) = 3 from x = 0 to x = 5. %3D A. Find the area of M. ...

A: Explained below 

Q: 80 and A is in quadrant 4. 89 Find cos(2A), if sin(A)

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A: Follow the procedure given below.

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] 4x r(x) = 5 х0.1 + 4 6 4 5x1.1 r'(...

A: Given query is to find the derivative of the function.

Q: COLUMN A COLUMN B /G-미) dx--4lnlxl + C S dx = S(3vx+) dx = (x + 3) + C dx = A. 4x В. 4* 6 +C С. 4 D....

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Q: (a) The region in the figure is rotated around the x-axis. Using y = -a? + 6x 9 the strip shown, wri...

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Q: Let h(x, y) = , x = 41|12, y = 517t2. Use the Chain Rule to calculate the partial derivative. (Use s...

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A: We need to find the component of the vector v

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A: LetI=∫dx1+sinx+cosxwe know that,sinx=2sinx2cosx2cosx=cos2x2-sin2x2cos2x2+sin2x2=1I=∫dxcos2x2+sin2x2+...

Q: Problem 2: Show that (n + 23)³ is O(n³)

A: f(n)∈O(g(n)) iff ∃ scalars C,n0 such that f(n)≤Cg(n) ∀n≥n0

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A: We can find the required answer as below.

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Q: A.Test the continuity of the given functions. 1. f(x) = (x2 + x –- 6)/(x- 2) 2. f(x) =(x2 – x– 2)/(x...

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Q: Test the series below for convergence using the Ratio Test. 87 n! n=1 The limit of the ratio test si...

A: Given query is to find series converges or diverges.

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

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Q: - f(x) = - f(x) = x-2 g(x) = 5 In x - 2* g(x) = 4x' log, x %3D f(x) = 10* · e*

A: Solution of question is written in below steps.

Q: 6) For a function f(x) = x³ - 3x2 -1 use the first and second derivative tests to: a) Determine the ...

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Q: Consider the equation below. f(x) = 5 cos2(x) – 10 sin(x), OsxS 2n (c) Find the inflection points. (...

A: f(x)=5cos2(x)-10sin(x)Differentiate f'(x)=10cos(x).(-sin(x))-10cos(x)f'(x)=-10cos(x)(1+sin(x))Differ...

Q: 2 Represent the function as a power series f(x) : (1 – 7æ)2 n=0 e radius of convergence R

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Q: Let h(x, y) = , x = 8t t2, y = 7tt2. %3D Use the Chain Rule to calculate the partial derivative. (Us...

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Q: H.W: Evaluate the integral 3 0 |*y-2xy)dydx 1. 2. +y+1)dxdy -1-1

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Q: 72 and A is in quadrant 3. 65 Find tan(2A), if tan(A)

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Q: Use the power reducing formulas to rewrite sin*(2x) without exponents. sin (2x)

A: Given sin⁴(2x)

Q: h of the following functions, find the indicated derivative using the de x + cos(3nx) '; f'(1) x2

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Q: .3. x* + 2x3+ 11x2+ 8x+16 dx x(x2 + 4)2

A: Integration

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Q: You have the graph below of the function z = f (x,y). Figure out whether the partial derivatives giv...

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Q: P = xi + yj +zk Q = x²i -z²k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)

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Q: #1-4 Complete each statement. 1. The Integral Test: Suppose f is a, and function on [1, c0) and let ...

A: Recall: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on the ...

Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: (3) A firms production function is Q(L) =15L -0.12', where output (Q) is a function of a single inpu...

A: The given function of production is: Q(L)=15L2-0.1L3 where L is labour (number of workers).

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Q: Newton's method and the following formula are used to calculate the true interest rate of a loan, wh...

A: In this question we have to apply Newton method.

Q: the volume of a regular cylinder is increased up to 80%.  by how much percent the radius of the cyli...

A: The volume of a regular cylinder is increased up to 80%.

Q: A hall 110 feet in length is to be designed as a whispering gallery. If the foci are located 20 feet...

A: Find your answer below 

Q: ди Calculate the partial derivative using implicit differentiation of + y = 6 at (x, y, w) = (1,2, 1...

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Q: D eter mine Paricular volution ( 2xy)dy = (y²-x²)dy j x=I,y= -2

A: In this question we have to determine the particular solution.  

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A: Find the limsup and liminf

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Q: Water at the rate of 10 cm3/ min is pouring into the leaky cistern whose shape is a cone 16 cm. deep...

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: Use the root test to determine whether the series converges. If the test is inconclusive, then say s...

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Q: Consider the following alternating series. k9 と(-1)+1 k12 + 4 k=1 a) An alternating series can be wr...

A: The given series is (-1)k+1 k9/(k12+4). 

Q: '5 7 Given f(x) dx : = 12 and f(x) dx = 4, evaluate %D 7. (a) f(x) dx. 0. (b) / f(x) dx. '5 (c) f(x)...

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Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx 

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = 3/x...

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Q: Fexiy)= 2+3トなら-3A Ris Rectanghe ( (ろy)と1メ,-

A: This is a problem of maxima and minima. By using first derivative test we will find out critical poi...