Find for the following function. dx y=9 cos x sin x dy

Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

Q: Evaluate (*. | (a? + 5) 0. OR Evaluate dr using Simpso o 1+x2

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: This question is based on 3d line equation.

Q: Find the solution of the initial value problem dy/dx=27e^6x_3y ,y(0)=0

A: This is a problem related to differential equation. Based on the integrating factor formula we will ...

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: S cos ædx from a = 0 to b = %3D %3D 3.

A: Substitution is done.

Q: passes omma-separated list.)

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Q: 1. |x² In x dx; u = In x, dv = x² dx 2. 0 cos 0 de; u= 0, dv = cos 0 d0 %3D

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Q: Find the derivative of the function at Po in the direction of u. f(x, y, z) = In(x 2 + 3y 2 + 9z 2),...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the solution of the following Differential Equations 8) y-2y'+2y = 2e" cos(x)

A: The given DE is: y''-2y'+2y=2excos(x) Now, the homogeneous form of the given DE is: y''-2y'+2y=0 The...

Q: Use the given graph of the function f to find the following limits. If a limit does not exist, type ...

A: In the graph open circle represents that at that point function value is not defined but it is indep...

Q: Using Logarithmic Differentiation, find given that dx dy -3 sec-(VT) y = 4* (log, x)sech x

A: This question can be solved using properties of logarithm.

Q: Find dy/dx for thw following function

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Q: A privately owned lake contains two types of game fish, bass and trout. The owner provides two types...

A: We have to solve for no. Of maximum fish . 

Q: e. z = In z,ze f. z z = logz, 2, Zd Zh

A: Please see the answer below.

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Question- Set up an integral for the area of the shaded region. Evaluate the integral to find the ar...

Q: Write the first three terms of the sequence. 3n - 2 n2 +2 The first three terms are a1 ,a2 = and a3 ...

A: Given ,an=3n-2n2+2Put n=1a1=3(1)-2(1)2+2a1=3-21+2a1=13,Put n=2,a2=3(2)-2(2)2+2a2=6-24+2a2=46,a2=23,a...

Q: EValuate:- (sin?G coszoldo

A: On solving this we will get:-

Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

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Q: Find the area of the triangle with vertices P(1, 2, –5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

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Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

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Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools fro...

A: As per the guidelines I can solve only first question 

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the v...

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Q: af fe and if f(r, y) = 2 + 2y+3,is? 1. Find the partial derivatives

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Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: Find the derivative of the following function. P(x) = 6x p'(x)=D

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Q: J Arctan(x)dx xArctan(x) -In(1 + x²) + c

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Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: 4. S sec*(8)dx

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Q: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number ...

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Q: S sec 7x tan 7x dæ 4,

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places. (3, 2...

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

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Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

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Q: f(x, y) = x2 + 20x + y² + 16y + 10 O f(-10, 8) = 102, saddle point O f(10, 8) = 502, local maximum O...

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Q: S tan-1(bx) dx

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine t...

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Q: 2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using con...

A: We have to draw the graph of f(x).

Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points...

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