Differentiate the following function by applying the theorems on differentiation of algebraic functions 1? +2 5. x= (1+4)} and y = t+4 12

Q: Q: Solve the following quadratic equations by factorization: 9x? – 3x - 2 = 0

A: Topic -solution of quadratic equation by factorization Method

Q: 2. Solve the ordinary differential equation. a) e2*cos(y)sin(x)dx + e*tan(y)dy = 0 b) (x* + 1)dx – 5...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

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Q: f(x) = Va +9 – 10.

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Q: Solve the following quadratic equations by factorization method: x² - 4a°x + (a* -b') = 0 *-b*) = 0

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Q: A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to o...

A: Here, the rectangular field is enclosed by a fence and divided into three lots by fences parallel to...

Q: (x² + y?)dx + 2xydy = 0, when x = 2, y = 1

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Q: Given the equation x'y!3 – x13y7 = 4, find by implicit differentiation. Answer dy

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Q: Identify the conic given by 2 (x – 10)² (v-9)² 1 36 36

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Q: Eliminate the arbitrary constants of: y = ln sin(x-c1)+c2

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Q: FOR ANY T WO COMPLEX NUMBERSZ, ANDZ,,PROVE THAT | Z, |+|Z,|=(Z, +Z4)+Z,Z, +(Z, +Z4)- Z,Z, (Z, +Z,)- ...

A: From the given problem: z1+z2=12z1+z2+z1z2+12z1+z2-z1z2 As we know that the property: 1). zn=zn2). z...

Q: (1+ siny)e*dx + (1 + e*)cosy dy = 0 ; y(0) 4

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Q: x sin 2x sin cos x 2 X. Prove that 8 dx 2х - л

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Q: What is the area (in square units) bounded by the curve y' =x and the line x- 4=0?

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Q: Allocate the value of equation below înto the quaratics formula; x x - 8=0

A: In this question we have to allocation the value of equation into the quadratic formula.

Q: Evaluate f- 8x+1 dx V4z-3 (4x – 3)½ +(4x – 3) +c O b. (4x – 3)/2 +(4x – 3)i + C (4x - 3)%2 +(4x – 3)...

A: Given integral,∫8x+14x-3dx

Q: For what value of a, the equation(a? -a-2)x² +(a² - 4) x+a² - 3a +2=0 will have more than two soluti...

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Q: Determine the eccentricity of the ellipse given by ײ + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51 0....

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Q: Find the average cost function if cost and revenue are given by C(x) = 157 + 2.7x and R(x) = 4x -0.0...

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Q: Given f(x) = and g(z) = V4 – I, 4-2 1. find (f o g)(x) and simplify 2. find (go f)(x) and simplify

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Q: Determine the four roots of z = -2 + 2i.

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Q: Determine the eccentricity of the ellipse given by 9x² + 16y² – 72x + 64y – 368 = 0 0.88 0.60 1.51 O...

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Q: Which of the following shows the correct values of t?

A: The third table represnts the correct values of t as the area of rectangle summed will give the vlau...

Q: II. Given the focus (2,3), vertex (2,-6), and co-vertex (-1,-1) of an ellipse, find the following: F...

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Q: Eliminate the arbitrary constants of: y = xcos(x+c)

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Q: 2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ + 6...

A: We need to find f(x), g(x) and h(x) from F(x).

Q: 7. Whic. nction is not quadratic? a. f(x) = 3x(x +91) %3D b. 25x - 49y = 100 %3D c. 14x - 12 = 21x d...

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Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of16 so tha...

A: Given:  

Q: 4. Find the volume of the solid obtained by rotating the region bounded by the given curves about th...

A: Given that y=ln x, y=1, y=2, x=0 find the volume about y-axis V=π∫12x2 dy

Q: Consider the function y = f(x). f(x) = 10e0.2x, P(0, 10) (a) Find the slope of the secant line PQ fo...

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Q: A rock is tossed at an initial velocity of 60 m/s at an angle of 1 with the ground. After 0.9 second...

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Q: Find the work done when a particle moves along the x-axis from x= 1 to x= 3 under the action of a fo...

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Q: (x³ + y³) dx + 3xy²dy = 0, when x = 1, y = 1

A: (x3+y3)dx+3xy2dy=0

Q: 6. 1. Find the domain of g(r) Explain your work and write out all your steps as well as your reasoni...

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Q: Select all quadratics which have real zeroes. O f(2) = (z - 4)² – 2 O f(2) O f(x) = 2x + 4r + 4 - 5a...

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Q: a) Find the area between y = 3x2 – 4 and y = 6x + 5. - b) Find the volume of the solid whose base is...

A: volume of the solid whose base is triangle and cross section is perpendicular to x is given below. v...

Q: Discuss the graph of the ellipse with foci at (2, 3) and (2, -1) and an endpoint of the minor axis a...

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Q: 3. Verify that y = 3e* + 4e* is a solution of y"" – 3y' + 2y = 0

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Q: The point of tangency of the circle with center at (3,-2) and the line 3x + 4y = 26. A. ( 6,2) В. ( ...

A: Since you have posted multiple questions, we will solve the first one  for you. To get the remaining...

Q: Identify the graph of the ellipse given by *+7*,-) 49 25 16- 14 12 10-

A: The answer is option 3

Q: Solve the differential equation: x? (p? - y ) +y =x* +2xyp

A: For the detailed solution of the problem follow the next steps.  

Q: Vý(vx – 1)dy + ydx = 0

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Q: Solve: (3x? – 2xy+ 3y² )dx = 4xydy O (y – 3x) (y + x) = Ca³ O (y + 3x)³(y – x) = Ca³ O (y – 3x)(y + ...

A: Proceed as shown below

Q: Solve for differential Equation y^2dx+x^2dy=0

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Q: ose ONL aISWE TOr each question from 1. Given the graph of y 15(x + 83)2 + 54, what is the vertex? %...

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Q: Write an equation of the line containing the given point and perpendicular to the given line. Expres...

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Q: e , f (x) = { x + 1, x > 0, -3 < x < 0, x², x < -3.

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Q: 5. Does cos(x) = x³ have a solution? Explain. %3D

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Q: Let DE be the vector with initial point D(8, 6) and terminal point E(-1, 5). Write DE as a linear co...

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Q: The total cost (in dollars) of producing x food processors is C(x) = 1800 + 80x - 0.2x2. (A) Find th...

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