xydx – (x² + 2y²)dy = 0 ||

Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function 

Q: 2. Given the integral: 4 -dx. Evaluate using Romberg's method. Tolerance = Næ10-6 %3D 1+x²

A: Romberg code: #include <stdio.h>#include <stdlib.h>#include <math.h> double F (dou...

Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: x dx e

A: This question is based on integration by parts.

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

A:

Q: 1. FIND THE AREA BOUNDED BY THE CURVES X= 2Jy and y %3D

A:

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (4,). %3D

A:

Q: 4 + 2 -3 -2 -1 3 х X. Figure Q1(d) Find the positive root of f(x)=x²-sin x as shown in Figure Q1(d) ...

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Q: Find all points c satisfying the conclusion of the MVT for the given function and interval. y = V3 c...

A: Here, the given function is: y=f(x)=3cos(x)-sin(x), [0,2π] Here, f'(x)=3(-sin x)-cos x=-3sin x-cos x...

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² – ...

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to...

Q: Vx - 2 dx xõ(Vx+ 1) x +

A:

Q: Evaluate the following limits. 1. lim(1+ Vw)(2 – w² + 3w*) 2-1 2. lim t=1 1²+ 4t +3 (2:- 3. lim 2-2 ...

A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: Evaluate the integral. 6 sin x dx -1 %3D NOTE: Enter the exact answer in expanded form.

A: To evaluate the given integral.

Q: 19. A triangular plate with height 5 m and a base of 7 m is submerged vertically in water (whose den...

A:

Q: The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometr...

A:

Q: Find the length of the arc of the curve 4y² = 9x³ from the origin to the point (2,3v2).

A: Arc length of a curve y=f(x), x∈[a,b] is given by,          L=∫ab1+y'2dx ∫xndx=xn+1n+1+C, C is a c...

Q: The base of a solid is the region in the first quadrant bounded by the graph of y = sin xand the x-a...

A:

Q: 3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping o...

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Q: 4 sec2x dx 2. tan?x+2tanx +5

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Q: Definitions/Examples a. A = {0, 0, =,A), B = {a, 0./. = } b. Every element in set A is also an eleme...

A:

Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

A:

Q: Determine the largest interval on which the differential equation (e - 1) y" + sin ty + cost y = 0, ...

A: First we find singular points.  Follow step 2,3 . 

Q: In(1+2e") d) an n

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 3 The point P(7, -3) lies on the curve y = 6 - x (a) If Q is the point x, 6 - find the slope of the ...

A: Given that the point P(7,-3) lies on the curve y=3/(6-x).

Q: cos e de V1 – sin 0

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i + 4j. NOTE: Enter the exact answe...

A: We have to find two unit vector as given in the question. 

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

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Q: 2 cos @ dӨ . 1- sin 0

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Q: f) {1,0,–1,1,0, –1,1,0,...}

A:

Q: Determine the limit of the sequence defined below. an 13 n+5 If the limit does not exist, enter Ø. I...

A: limn→∞-113nnn+5 =limn→∞(-1)n113nnn+5 let n is even (-1)n=(-1)2m=1 L=limn→∞113nnn+5=0*1=0 let n is od...

Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

A:

Q: Find the derivative of the following function: g(b)=(3b-4)/(b+5)•(2b+5)

A: This question is based on quotient rule of differentiation.

Q: 24. An open box is to be made by cutting a square from each corner of a 20-cm-by-32-cm piece of meta...

A:

Q: cos x dx V1 - sin x 2

A:

Q: 2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху ...

A: Here, to find the set of points at which the function is continous.

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying t...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 8j as a...

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Q: p(t) = −0.0064t2 + 1.059t −38.46

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Q: x(xキャュ DISTRI BUTI VE PROP.

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: The manager of a large apartment complex knows from experience that 90 units will be occupied if the...

A: Explanation of the answer is as follows

Q: Evaluate f x Vx + 10 dx

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Q: y x, y+ 2x = 8. Identify the volume generated by revolving amd y = 0, rotated about the y-axis.

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Q: sinh(3x Solve for f(21) (x) given that f(x) =

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

A:

Q: 2. A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total ...

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Q: Let a = ci +jand b = 4i + 3j. Find c so that the angle between a and b is Round your answers to four...

A:

Q: Find the length of the arc of the curve 9y? = 4x³ from the origin to the point (3, 2V3). %3D

A:

Q: x²dx Evaluate x2Vx2-4

A: Using standard formula for integrating the given indefinite integral