Find the first And 2nd derivative  F(x)= e^x sin4x

Q: If A is a positive definite matrix and B is positive semi-definite, show that trace (AB) 2 0 with eq...

A: A is positive definite means A has inverse

Q: Convert the Cartésian coordinate to polar coordinates, 2T, r > U. No decimal entries and answer may ...

A: Follow the procedure given below.

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

A: Topic = Volume

Q: (zy + x)dy + ydx = 0 %3D

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Q: y = Vx-1, y = 0, x = 5 about

A: Follow the procedure given below

Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Give its interval of convergence. Approxi...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Suppose that the total number attendance A (in thousands) at NCAA women's basketball games is modele...

A: Given: - Suppose that the total number attendance A (in thousands) at NCAA women's basketball games ...

Q: Find the inverse laplace of 1/s^2+5s

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Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution, wher...

A: Given y'+5y=2 We have to find ∅x

Q: +00 3 E(-1)"+1, n n=1

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Q: www ......... ....... Write and evaluate the definite integral that represents the volume of the sol...

A: Given; So, y=25-x2y2=25-x22y2=25-x2x2=25-y2x=±25-y2   Use the disc method to calculate the area of ...

Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: 4.Prove that the circumference of a circle with radius =2a is 4na by using the formula for the lengt...

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Q: f(x) = tan(x) – 4 Find sec(x)

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Given w = xysin(z ), x=s-t, y = s?, z= t2. Find . aw 2xyzcos z? aw az 2yzcos z? Option 1 Option 2 aw...

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Q: If sin A = - 13 and cos A = 85 84 , determine the exact value of cot A. 85 13 84 84 13 А. cot A В. c...

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Q: 2. Use the function h(x): a. Use a calculator to graph h(x). Make sure you have a window that is lar...

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Q: Is the series convergent or divergent? Explain in minimum of two sentences. +oo Σ n2 – 1 Un n=1 n2 +...

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Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use parenthes...

A: topic- derivative of a function

Q: How far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured from...

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Q: Convert the Cartesian coordinate (6, 1) to polar coordinates, 0 0. No decimal entries and answer ma...

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 n = 0 5"...

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Q: State where the power series is centered. Ï (-1)^(x – 57)6n (-1)"(х - 5л)бл n = 0 (6n)!

A: Center is 5π . 

Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Definition: Given sets A and B, the symmetric difference of A and B, denoted A AB, is defined as fol...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Using integration by parts, the integral Sx sec(2x) tan(2x) dx is equal to: Hsec(2) -inise(20) + tan...

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Q: find y' and y'' y=e^2e^x

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Q: Joy invests $5,000 into an account at an annual rate of 0.4% simple interest for 36 months. 1) What...

A: Topic = Algebra

Q: Assuming that z is a differentiable function of x and y, use implicit differentiation to find from t...

A: ln(x2y) - eyz= tan-1z  ----(1)To Find: ∂z∂ySince z is a function of x and ySo we differentiate equat...

Q: EXAMPLE 8, Does the sequence whose nth term is n п + An n 1 - converge? If so, find lim,»oan.

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Q: 10. t(x) = Vx+3+4

A: Given function t(x)=x+3+4

Q: A university system has a total of 40 new computers to distribute to each of its three campuses. Aft...

A: Option a - Alabama paradox will occur and campus A will lose a computer

Q: Sketch the region enclosed by the curves/lines x=y, y=1/x, y=3 and find its area.

A: Given; x=y, y=1x, y=3   First, we have to find the point of intersection between the curve y=1x and ...

Q: Hew.3Findwandow de when P=ty9-4if: be W = xy +yZ + Zu +uV and x = Pg ,y=4 tan P 2= Ln L4-3e) V =P++1

A: put value of x,y,z,u,v in w to solve the partial derivative.

Q: Assuming that z is a differentiable function of x and y, Let F(x,y.2) = In(x*y) – e" -ta tan Find F....

A: Given,  F(x,y,z)=lnx2y-eyz-tan-1z Fx=∂∂xlnx2y-eyz-tan-1z     =∂∂xlnx2y-∂∂xeyz-∂∂xtan-1z

Q: a sin a + In v ) da + tan adv = 0 cos a |(In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(...

A: This question can be solved by applying the concept of linear differential equation.

Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

A: Average value of account  during the first four years will be

Q: Sketch the region enclosed by the given curves. x = 3y2, x = 4 + 2y2 y y 12 10 8 6 6 8 10 12 2 1 2 y...

A: The region is enclosed by the curves,x=3y2, x=4+2y2

Q: (-1)" (2n)! 27 En=1

A: The series is given by ∑n=1∞-1n2n!2n To determine: The convergence of the series using Series Ratio ...

Q: Find the derivative of v(t) = t5e-d Assume that c is a constant. v (t) =

A: Topic = Derivative

Q: Solve the following inequality algebraically. Show your work on a separate paper. |x-2|29

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Q: In the diagram below, figure b is the reflection of y = 2* in the line y = x. YA y = 2* y = x 3- b 2...

A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: B. find y' and y" 5x+2 1. y = %3D 3x-7 2. y = (x2 +x + 1)2 C. 1. If f(x) = Vx find,f '(4) and f "(4)

A: Topic = Derivative As per guidelines , At a time only three sub-parts can be answered. please repost...

Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions