Find the area of the region. 2 16 x y =

Q: Express your final answer at least three (3)decimal places. A particle moves with a velocity of…

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Q: the auxiliary equit of the given diff- eqnn is m² +6m +8 = 0 2 m²^²+4m+ 2m +8 = 0 (m+ y) +² (m+4) =…

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Q: Let f(x) = 4x6 In x f'(x) = Rounding to 3 decimal places, ƒ' (e²) =

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Q: Suppose that f(x) = 6x + 3x². Evaluate each of the following: ƒ'(2)= f'(-1)=

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Q: Let f(x) ƒ'(x) = = 5 csc (8x)

A: The answer is given below:

Q: Examine the graph of (a) below, and find the values given below. If the limit does not exist write…

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Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: lim 22+2−6 Evaluate the limit -222-x-2

A: Given, limx→2x2+x-6x2-x-2 Let's factorize x2+x-6=x-2x+3x2-x-2=x-2x+1 x2+x-6x2-x-2=x-2x+3x-2x+1…

Q: #3. Find the limit of the {√ 1 1+ 3n n 8 n=1

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Q: Find the derivative, f'(x), for f(x) = S dr 3 sinr+2 (₁²³+√7) X A f(x) = B f(x)= −sinx − 2 x²³+√√x X…

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Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

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Q: əz For the function z = 4x³ − 2y² + 8xy, find - əz ax 九 11 2-0 2(4,4)=[ (Simplify your answer.)…

A: GIVEN :z=4x3-2y2+8xy

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ex/q = cpla and limx→ck = k. (Use…

A: The given problem is solved below in detail.

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constarit. >2 where 3 x? as a ad…

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Q: Find the areas of the regions enclosed by the following curves. (b) r² = 4cos20

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Q: Determine whether the series is convergent or divergent. Σ Στ Σ n = 1 +4

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Q: If a differentiable function f is decreasing on (a,b), then f'(x) < 0 for each x in (a,b). A) True B…

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Q: Find fxx fxy, fyx and fyy, for the following function. (Remember, fx means to differentiate with…

A: The objective of the question is determine the second order partial derivative.

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 m² + ym + 2m +8=0 m (m+4) +2 (m+4) = 0 2…

A: We can solve your query in the following steps.

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis: a. y =…

A: Given :y=2xx=0 to x=4

Q: Please respond to both items 1 and 2: Part 1. Discuss which would be a better investment if you were…

A: The solution is given below

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: lf f(x) = 3x sin x cos x, find f'(x)= To two decimal places, Find f'(2) =

A: f(x) = 3xsinxcosx find f'(x) = ? and find f'(2) = ? here first we use formula 2sinxcosx = sin2x and…

Q: dy dx 6e²x-y

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Q: -if f₁ (t) properties of Fourier transfor eat alt) JF.T = $ fit) ējut dt = - feat. ejust dt е ماز-…

A: Topic:- calculus

Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

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Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy +9y fxx (x,y)=[ fxy(x,y)= fyx…

A: Let us consider a function f(x,y) Then fxx=∂2f∂x2, fyy=∂2f∂y2, fxy=∂2f∂x∂y=∂2f∂y∂x=fyx

Q: sinx(cosx)dx= A B C D esinx + C ecosx ( - sinx) + C - esinx + C None of the other answers are…

A: In this question, we want to compute the given integral.

Q: Exercise 17. Compute the following integrals 1 (a) -dx 2 sin² x + sin x cos x cos²x (b) -d.x 2 + tan…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: Given the following table of values, find h'(0) if h(x) = −6x + f(x)g(x). 7 7 6 -4 -1 Provide your…

A: The given function is: hx=-6x+fxgx   As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Use the given transformation to evaluate the integral. 11² 9x² da, where R is the region bounded by…

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Q: Evalua COS [cas (VF) ². √t = √t

A: We have to integrate the given trigonometric term.

Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (3,0); y-intercept:…

A: NOTE: Refresh your page if you can't see any equations. . x-intercepts are so the factored form of…

Q: Find the surface area of a cylinder with a base radius of 2 in and a height of 6 in. Write your…

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: Elementary row operations allow one row of an augmented matrix to be subtracted from another. True…

A: Let's solve.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Find the vector equation of the line of intersection, if it exists, for each pair of planes. a. 2x…

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Q: Consider the system of linear differential equations We want to determine the stability of the…

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Q: The slope of the secant line to f between points a and b is the same thing as the average rate of…

A: Slope of secant line is not equal to the average rate of change. Because, average  rate of change is…

Q: Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it…

A: Given that Hannah can paint a room in 8 hours.and Destiny can paint the room in 10 hours.Our Aim is…

Q: Find the equation of the line tangent to the graph of f(x) = − sin (x) — 3 at x = 0. (Enter an exact…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Evaluate f cos*x sin² xdx. 1 16 A B O A 1 -x+ sin 4x 48 1 =x+ 16 1 8 sin 4x 1 64 1 sin³ 2x + C sin³…

A: We need to evaluate integral.

Q: Express your final answer at least three (3) decimal places.   Find the arc length of the curve y…

A: Concept: The arc length of the curve is given by  L=∫abds In rectangular form, ds is presented as…

Q: f'(x) = -2 sin(x), ƒ(4) = √² +7

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Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: doesn't

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