18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: cosh? Vx dx 4-) a csch vx vx csch vx

A:

Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: A detailed solution is given below.

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A: If you submitted multiple posts for the same question, then it will go to different experts. All of…

Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

A:

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania…

A: Ht = 56.72 + 23.62sin0.50t-2.08       ,t∈1,13Lt = 41.89 + 21.52sin0.52t-2.27        ,t∈1,13…

Q: Evaluate 4x2 + 4x + 5 dx

A: ∫4x2+4x+5dx=∫4x+122+4dxLet u=x+12.=∫ 2u2+1du=2·∫u2+1duLet…

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A:

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: Find the area, A, of the region enclosed by the cardioid r = 8+8 cos 0. (А) 96 я (В) 48 я с) 52 я…

A: The area enclosed by the cardioid r=8+8cos θ is given by: A=12∫02πr2dθ=12∫02π(8+8cos θ)2dθ…

Q: C. Sketch the graph of the following functions analytically. 8. f(x) = r2 – 4

A:

Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3r? + 1) cot (322 + 1)…

A: r(x)=cot23x2+1Differentiate w.r.t.xr'(x)=ddxcot23x2+1Apply chain…

Q: 2- fx'e-2x* dx

A:

Q: Use Green's Theorem to evaluate the line integral (y – x) dx + (2x – y) dy for the given path. C:…

A:

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

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A: Let's find.

Q: system. Include an appropriate title and leg # 2. Are the functions G (x)= and H(x)= x the same?…

A: The given functions are G(x)=x2 ......................................... (1)  and H(x)=x…

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: 4-S cosh ? Va dx Vx csch vx

A:

Q: Question 9 of 10 q(x) = e" ln x Select the correct response. O e" In x - + eª ln x et +1

A:

Q: Question 15 Determine the interval of convergence for the power series that can be used to represent…

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Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

A:

Q: NG) Find T(t) and N(t) at the given point. T r(t) = 8 cos(t)i + 8 sin(t)j+ tk; t = T()= NE) -| ||

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Q: Vxdx 10. 3/4 9 +x314

A:

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: cosh? V 4-S dx Vx csch vx

A: We have to find given integral.

Q: 2-fx'e-2x* dx

A: To evaluate: I=∫x3e-2x4dx Substituting x4=u⇒4x3dx=du⇒x3dx=du4

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A:

Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: lim *+1) x-l x+3

A:

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A:

Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: 12 cos ti + 7 sin tj – k It is an ellipse in the z = 1 plane, center at (0, 0, 1), major axis of…

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Q: 17 ind the Maclaurin series for f(x) = 1+x

A: Follow the procedure given below.

Q: REPEAT

A:

Q: Problem Write step-by-step solutions and justify your answers. 'Solve the initial-value problem y" -…

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Q: What is the volume of the solid formed by revolving the region bounded by y? = 4æ and a = 4 about…

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Q: Determine whether the following statement is true or false. If y = f(u)and u = g(x), then = f'(x) ·…

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Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A:

Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

A: