Find the symmetrical equation of the line perpendicular to the plane passing through the points A(-1, 1, 2), B(2, 1, -1), C(-2, 1, 3) and pass through point B.

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

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Q: ++dy=e' dy A True B False

A: topic - exponents and integration

Q: sin² 3y 5. ye 3^cot3t

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: The Center of Mass of a Thin Plate (region) Consider the region in the zy-plane bounded by the curve...

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Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...

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Q: (ve"cosy - 3)dx +N(x, y)dy = 0

A: Differential equation of form M(x,y)dx+N(x,y)dy=0 is said to be exact when it satisfies the conditio...

Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

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Q: 57 37 Convert the point (p, 0, 4) = ( 5, 3 to Cartesian coordinates. Give answers 4 - as decimals to...

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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: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x  

Q: h(x) =. Log2(x+2) + log2 (x +4)+1 For xDh, where Dh is the domain of h. The solution of the inequali...

A: The given function is: h(x)=log2(x+2)+log2(x+4)+1

Q: 2. x'dy+(2xy-y'dr = 0 Let the substitution y=2; y= vx, dy=vdx+ xdv

A: x2dy+2xy-y2dx=0

Q: Find the derivative of f(x) =-2/- Type your answer without fractional or negative exponents. Use sqr...

A: Let's find. 

Q: Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices a...

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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: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply th...

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 2. lim f(x) and lim f(x) if f(x) = V4-x2 %3D X-2+ X→2- х-2

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Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the    sin...

Q: (2xy – tany)dx + (x² – xsec³y)dy = 0; y(1) = =

A: Given:

Q: 2.c) Eliminate the Arbitrary Constants in the equation: * y – x = C1e* + Cze-2* -y" - y + 2y - 2x + ...

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Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: Calculating Mass from Linear Density. Mass-Density Formula of a One-Dimensional Object. Given a thin...

A: Topic:- application of integration

Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

Q: х ах 2(5+x²)4

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...

A: Given that: x2+20x3+3x2

Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4 Respective...

A: Given:   To determine: The domains of both functions

Q: Mass-Density Formula of a One-Dimensional Object. Given a thin rod along the x-axis over the interva...

A: We will find the mass. 

Q: Find the volume of the solid obtained by rotating the region bounded by y = x – x^2 and y=0 about th...

A: Given query is to find the volume of the solid generated. First we will find the intersection points...

Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

A: Given:The average score in percentage is given by:

Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: use some property of limits.

Q: 1+ cost -dt = со 1- cost True

A: We are asked to find given statement is correct or wrong

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

A: Given:      Points 0,0,2, 2,4,1 , -2,3,3 Recall that we can generally write the equation for a plane...

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: 1. y'dx-(xy + y* \dy = 0 Let the substitution y=2; y= vx; dy=vdx+xdv

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Q: x'dy+ (2xy – y° ktx = 0 2. Let the substitution y=2; y = vx; dy=vdx+ xdv y

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Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: f(x) = 3 x6 e-4 x* with respect to x. f '(x) = 18x^5 e Submit Answer Incorrect. Tries 1/8 Previous T...

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Q: x^2y=4+Cy Eliminate Arbitrary Constant

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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: Kay. Based on where Paolo landed, police accident investigators would like to know how fast the car ...

A: Let f be a function  of any variable say t be the variable.  Let f(t) be a function of variable t an...

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: х - у ·+1 х+у y 2. ||

A:

Q: n 2. Determine whether the sequence a, is a monotonic bounded sequence. n2 + 1

A: Given that: an=nn2+1