y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

Q: 4. If f is a differentiable function of a and y with w f(x, y), x =r cos 0 and y = r sin 0, %3D show…

A: To verify the given relations between partial derivatives.

Q: y = e-x" and the x – axis is revolved about the y - axis.

A:

Q: S 23x* + 5 +* x2-16 dx X-4

A: We will use simple Integration rules to solve this question.

Q: b.

A: answer is in next step

Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: Use the model found above to answer this question. Using the revenue data for Jesaki Inc. for the…

A:

Q: Evaluate sin (44o) + cos (29o) using differentials. Refer to special triangles.

A:

Q: Change the following rectangular equations to polar form. Show work on separate pape 14. x² +y =10…

A:

Q: 1. A supermarket employee wants to construct an open-top bax from a 14 by 30 in a piece four corners…

A:

Q: (D² + 4)y= 4 cot 2x

A:

Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

A:

Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

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Q: An investment of $8,000 earns interest at an annual rate of 6.5% compounded continuously. Complete…

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Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

A:

Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x %3D

A:

Q: answer

A:

Q: Assuming that the function f(x) = 3x + r³ +2 is one to one, find f(2).

A:

Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

A:

Q: A. For each of the following functions z, find az and ду ax 1. z= sin3x cos4y 2. z = tan- (2) 3. yz…

A:

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: 2. Evaluate the given line integral, (x – y, y) · dR, where C is the line segment from (0, 1) to…

A:

Q: Find the set of all values of x at which the line 3x-y+k= 0 is a tangent line to the -3 curve f (x)=…

A: We need to choose correct option.

Q: Find the volume of the solid generated when the plane region is bounded by: x= y^2 and x+y= 2 is…

A:

Q: For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc…

A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

Q: Question 1 Determine the inverrse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

Q: ArcTanx — х 1) lim x→0 х3 Тапx

A: We need to apply l'hopital rule which is described below.

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

A:

Q: 1- Every Boolcan algebra (B, V, A), becomes a Boolean ring (B, +, .) on defining addition and…

A:

Q: For the function f(x) = xe-2x give intervals of increase/decrease and intervals of concavity.…

A: Let's find.

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period:…

A: Sine function :  y= a sin(bx-c) ; where, 'a' is the amplitude and 'c' is the phase shift .…

Q: f 3p2tanip dp

A:

Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A:

Q: sec(2) tan(2) – 1 dz 3.

A:

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: 5x - 4 and the a-axis over the interval 6 Find the net signed area between the graph of the function…

A:

Q: Let F(x) = (f(x))² + (f'(x))², F(0) = 6, where f(x) is a thrice differentiable function such that…

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Q: 4) lim (5x-1 + 1)4x x00

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Q: Assume that the radius r of a sphere is expanding at a rate of 90 cm/min. The volume of a sphere is…

A:

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: for disperesed of data we have to find median for weight 59 65 65 67 69 here odd number of…

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

A:

Q: (c) Let f(x) = In(x + 8). (i) Find the domain and range of the function. (ii) Find the inverse of…

A: Let's find.

Q: x = -2t 1- y = z – 8 and l2 2 - 3 Given: line lı : 4 y = 2 + 2t % = 6 + 2t 2. Find the equation of a…

A:

Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

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Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

A:

Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: he Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 Ciuo Hooim

A: Here we have to use linear approximation rule.

Q: Set A: Problem # 6 Fnd the eaquation of the line tangent to FG) = cos?x- sin*G) sin ) at

A:

Q: ArcTaпx — х 1) lim x→0 х3 Тапх

A:

Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: