y = sin(3x) + cos(0.5x)

Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

A:

Q: Find the area bounded by the curve xy = 2 and the line x+y = 3. A. 0.17 sq. units B. 0.11 sq. units ...

A: Given problem:- Find the area bounded by the curve xy = 2 and the line x+y= 3

Q: Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D. (1/9...

A: Integration by parts:∫u(x)v(x)dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: (ii) Solve x(2z - 3y)p + y(3x + z)q + yz + 2xz = 0

A: ## x(2z-3y)p + y(3x+z)q + yz + 2xz = 0

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = ...

A: We know: lim∆x→0∆y∆x = dydx                                                                         ...

Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A: we have to find the surface area.

Q: alprbraic or u-substitution technique, we let u- gix) and du-g'bx) dx. Identify the g'b) dx in the (...

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Q: 3n 2n TE S. (sin x + cos y)e dx dy dz A. 2n(e2n + e3) B. 2m(e2 – e3") c. 2m(e + e2") p. 2n(e- e")

A: For the solution follow the next steps.

Q: Evaluate the integral: ſ csc xv1 + 3cotx dx.

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Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (n 2)/4 c....

A: Note:- Final answer is not match from any option i am providing you solution. please check it

Q: a. Consider the circle, x2 + 6x + y? + 18y + 89 = 0 i) Write the equation of the circle in standard ...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: a. the x-axis. (do not evaluate the integral)

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Mini...

A: This is a problem of maxima and minima. Based on the general formula we will find out the value.

Q: dx Evaluate: S sin'x A. 3tanx с. tan?x + C tan x 1 + C tan 2x tanx + C tanx в. D. 2tan?x 3tan?x A C

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Q: P(x) = 8x + 26x - 67x + 15; a = -5, b = 2 = -5: -5 8 26 -67 15 e the row containing the quotient and...

A: Topic:- polynomial

Q: Solve the equation y' + y · tan (x) = sec(x) Ans y sec(x) = tan(x)+c %3D

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Q: Using Laplace Transform, solve y" + 2ty' – y = t when y(0) = 0, and y'(0) = 1. %3D

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Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Use Bisection Method to find the root of æ + 10x? – 5 0 that lies in the interval (0, 1) to four-dig...

A: We have to find the root of the given cubic equation using bisection method.

Q: If f(x) is continuous over an interval [a,b], and the function F(x) is defined by F(x) = f(t) dt, th...

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Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your ans...

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.  

Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

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Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

A: Ashley solution is correct.

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

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Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

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Q: QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

A: P-Test: The series ∑n=1∞1np converges if p>1 and diverges if p≤1 The series ∑n=1∞rn converges if ...

Q: EXERCISE 1.4 Solve the lim [log(x)] by completing its table of values. Solve the x-10 one-sided limi...

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Q: 1 1 Arc sin- xdx 2 0,

A: ∫01arcsinx2dx

Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you us...

Q: 2x +1 ds J x2 - 7x + 12 A. -7ln/x- 3|+ 9ln|x - 4| +C C. -7ln|x +3| – 9ln|x+ 4| +C 3. 7In|x + 3| + 9l...

A: Explanation of the answer is as follows

Q: 10- 10 10 Find its domain and range. (Enter your answers using interval notation.) domain range 30

A: For given function of graph. f(x)=>y^2=36-x^2 hence we know that  for domin and Range : by defini...

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: Let an​ be an arithmetic progression. If a1​=4 and a2​=7, determine a11​

A: Arithmetic progression

Q: What would be the trigonometric identity to be used in order to transform the integral f tan z dz in...

A: Topic = Integration Correct answer tan x =sin xcos x  

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a din...

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number o...

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a ro...

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of coupl...

Q: ydy A) y* +Sy +6 B) x+x²+x+2 x* +3+2

A: use partial fraction method to integrate

Q: A(6,3,3), B(3,5,1) and C(-1,3,5)are the point in a three-dimensional space. Find, a) The vector BA a...

A: Given problem:-

Q: Compute the volume bounded by y = x² – 2x and 3y + 2x2 – 27 = 0 when it is revolved around the x-axi...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

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Q: PROVE: 1+ sin a 1- sin a CSc a + 1 CSc a

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: 1. Graph of M versus t is shown below - 

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,  ...

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Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. r = cos (0) – sin (0) (Express...

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Q: + y*)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2 A

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Q: answer?

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Q: Convert e = 10 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation and ...

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Q: əz and Əx əz For the following functions, determine ду z = x*ev5

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Q: Let a = ci + j and b = 7i + 24j. Find c so that the angle between a and b is Round your answers to f...

A: Given problem:- Leta = ci + j and b = 7i+24j. Find c so that the angle between a and b is π/6