x*dy + (2.xy – y² }tx = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

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

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A: 1(1-sinx)=sec2x+tanxsecx

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A: use some property of limits.

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A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...

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A: Follow the procedure given below.

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Q: find the vector equation of a plane that contains the intersection line of x + y + z = 1 and x – y +...

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

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Q: 6x2 – z+1 1→7 2x2 + 3x - 1 Find the limit, if it exists: (Do not use L'Hospital's rule) lim Note: Gi...

A: limx→76x2-x+12x2+3x-1

Q: Draw a graph of a function that satisfies the following properties.  1) f(x) 0 for x>0 3) f(0) = 0...

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Q: 2/3 " tan'x sec'x dx X.

A: Solving the problem by doing the definite integral.

Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

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

A: Figure of y=x3 , y=1 and x=1

Q: 3. Find the equation of a curve for which y" = 6x - 4 and which passes through (1,2) and (-2 ,5). 4....

A: 3.y''=6x-4 and which passes through (1,2) and(-2,5).4.f''(x)=12x2+6x-4 and f(0)=4 and f(1)=1.

Q: Given the differential equation y" - 3y' = &x2 + 7x – 11 Determine the Characteristic Equation for t...

A: here we have to find characteristic equation and solutions of given differential equation.

Q: cos(- 18x 14 COS Find the limit lim a Note: Give the exact answer but not the decimal approximation ...

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Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

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Q: d²y dy Solve: x2 dx2 + 3x+y = 4 cos (In x³) dx L: L:

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Q: Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -6 (a) Number (b...

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Q: Suppose h(1) = (f(x) + VI) · g(x), f(4) = 3, g(4) = -1, and f'(4) = gʻ(4) = 5. What is h'(4)? Expres...

A: solution:-Given:h(x)=f(x)+x·g(x)f(4)=3g(4)=-1f'(4)=g'(x)=5

Q: P3.B: At any point of a curve y =f(x), y" = 6x + 4. If the curve passes throurh the points (1, 0) an...

A: y"=6x+4auxilary eq m2=0⇒m=0,0y=(c1+c2x)e0x⇒ y=c1+c2xparticular integral PIPI= 6x+4f(D)=6x+4D2=1D1D(6...

Q: nsider the graph of J belov y = f(x) (a) Analyzing the graph, if g(x) = f(x), then is decreasing for...

A: Given query is to find the indicated interval.

Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

A: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

Q: Question 10 What are the coordinates of the endpoints of the focal width of the parabola (x + 6)² = ...

A: Topic = Coordinates geometry Correct option = C

Q: f (x, y) = 4xy² + 5a°y fzy (1, 1) = hx

A: Given: - The function is, f(x,y)=4xy2+5x3y To find: - The value of fxy(1,1)=

Q: What is the equation of the directrix of the parabola x2 + 2x+4y– 27=0? A y=8 B y=0 (© y= -2 D y=6

A: Solution ) x2 + 2x + 4y - 27 = 0 Add 1 and subtract 1 in equation  x2 + 2x +1  - 1  + 4y - 27 = 0 (x...

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: topic - application of derivatives

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

A: Topic:- application of integration

Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

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Q: regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

A: Given: - The curve is, x=11+y2, y=1 and y=4 and y=0 around the x-axis. To find: -The volume generate...

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

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Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

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Q: Evaluate the integral of the following 1. 6x° .5 182? + 7 dæ

A: Topic:- integration

Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5

A: To solve the following problem

Q: |æ – 7| Let us consider lim x→7 x2 – 49 |æ – 7| (a) Find lim 2→7- 22 – 49 Note: Give the exact answe...

A: Follow the procedure given below.

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...