1. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved about the indicated axis. y= x² 4 1 2

Q: 1. y’dx-(xy+ y² kdy = 0 Let the substitution y=2; y=vx; dy=vdx + xdv

A: Given that: y2dx-(xy+y2)dy=0

Q: Substitution in the Indefinite Integral Part 1. Using the substitution: u = 10z² + 3z – 6. Re-write ...

A: Use substitution to integrate

Q: cotxdx + ysin?xdy = 0 %3D

A: Using variable separable method.

Q: Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10 ...

A: The given integral is: I=∫21x2-100x4 dx

Q: Evaluate whether the following initial values is true in the function: y=4cos(x/2)+3x² a.) when x = ...

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Q: Calculate the arc length of the curve y=ln(cos x) from x=0 to x=÷. You will need to use the followin...

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Q: Find the limit of the rational function (a) as x→0o and (b) as x- 0o. Write co or - oo where appropr...

A: The given function is: f(x)=5x+87x+7

Q: 2. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

A:

Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...

A: Given: m=∫0r2πxρxdx  ...(1) And ρx=6x ; x=6   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 A...

Q: cot e*dx e2x +1

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Q: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x + 3...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: cosh(2r) – 1 6. (a) Show that sinh (z) = (b) Find the nth term of the following sequence {1,8, 10, 2...

A: The two problems are as follows.

Q: 1.)(x + y - 1) * d * x - (x + 4y + 2) dy = 0

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Q: A parallel, orthogonal, or neither? 3. Find the equation of the line through the point (0, 1, 4) and...

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Q: 1. Consider the following vector, T = (-1,1), (a) Find two unit vectors parallel to v. (b) Find a ve...

A: Given,v=-i^+j^a) Find unit vector parallel to v.We know thatv^=vvv^=-i^+j^(-1)2+12v^=-i^+j^1+1v^=-i^...

Q: . (6xy² – xey + 2y)dy = y(e*y – 2y²)dx

A: Using method of exact differential equation.

Q: (a) y = -T (b) y = 2x° + 3x (c) y = x² + 5x 7 (d) y = x(x - 1) %3D -

A:

Q: Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to H...

A: NOTE: Refresh your page if you can't see any equations. . a force of 17 N, stretches a spring 0.3 m ...

Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

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

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Q: Find the nearest degree the directing angles of b = -i +3/2j+1/3k

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Q: Finding the work done in lifting a bucket. A 10 lb bucket attached to a rope is lifted from the grou...

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Q: 8. Let f(x) = x3, g(x)= sin(x) and h(x)= Vx. Evaluate the following functions. a. h(g("/2)) b. Domai...

A: Given that: f(x)=x3g(x)=sinxh(x)=x

Q: 5. Pine Bluff Middle School is having its annual Spring Fling dance, which will cost $400. The stude...

A:

Q: Choose the correct graph of y = cos x, < x<: 2 1 27 -3. 3.7 -1 -2

A: y=cosx,π2&lt;x&lt;3π2

Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: Find the value of lim tanx

A: As per our guidelines we only solve question number 1 . If you want the solution of other parts kind...

Q: + 4 y' - 12y = 4x3 d the Solutions to its Characteristic Equation aracteristic Solutions: R, = -6 an...

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Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

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Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exp...

A: Let's find. 

Q: The vector v=ai+bj is parallel to the line bx−ay=c. Use this fact to find an equation for the line t...

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Q: 1.Determine if the following statements are mathematical or not. Provide solution. a. Today is MMW c...

A: We know a mathematical statement is either true or false .

Q: dy Find , if dx y = 3u – 2 and u = 2x² - 4. dy Preview dx

A: Topic = Derivative

Q: Use the Integral Test to determine whether the infinite series is convergent. -n2 16пе n=6 Fill in t...

A: This is a question related to series and sequence calculation. For using integral test for given ser...

Q: Evaluate the following expression. sin 5 O 1/2 -1/2 V3/2

A: Topic = Trigonometry

Q: ydx = x + Vy² – x² dy

A: Given that: ydx=x+y2-x2dy

Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term (...

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two equatio...

Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: What is the maximum value of y = cos x. For - < x < < ?? 1 1/2 2.

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Q: Suppose f and g are continuous functions such that g(7) = 4 and lim 3f(x) + f(x)g(x) = 21. Find f(7)...

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Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)= ...

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Q: Differentiation A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+...

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Q: Agree. function always exist? Justify: Disagree 2. Does the limit of a

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Q: 3. Graph the following quadratic function. Rewrite in the form f(r) a(r-h)+k and identify vertex, z/...

A: The graph of f(x) is shown below:

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to...

A: Let's find. 

Q: 6x Find the vertical asymptotes (if any) of the graph of the function h(x) %3D 36-x2

A: Given :   hx=6x36-x2

Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

A:

Q: 2. (бху? — хе"у + 2у)dy %3D у(еУ — 2у?)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is of the differ...

Q: attached picture please attached

A: Topic:- derivatives