9-3+1

Q: please answer 1-2 sub units thank you!!

A: Topic:- algebra and vertex form of parabola

Q: (1 – xy)-2 dx + [y² + x²(1 – xy)¯2] dy = 0; when x = 4, y = 1.

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Q: Find the volume of the solid generated by revolving about the y-axis, the area bounded by y = x^2 , ...

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Q: What is the quotient of this division problem? (22* + 72? + 2z – 8) ÷ (z + 2) Quotient:

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Q: D. Using the remainder theorem, find the remainder when f(x) = x - 13x +12 is divided by: 16. x-3 14...

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Q: Suppose that Nolan throws a baseball to Ryan and that the baseball leaves Nolan's hand at the same h...

A: TO FIND: Partial derivative

Q: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: Use the rational zeros theorem to list all possible rational zeros of the following. f(x) = 3x° + 6x...

A: Given polynomial f(x) = 3x3+6x2-7x+7   

Q: f(x) is continuous on (- 00,00). Use the given information to sketch the graph of f. f'(-7)=0, t'(0)...

A: From the given points of "f" , 

Q: Find the indefinite integral. (Use C for the constant of integration.) sec 20 tan 20 xp

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Q: Solve with help of partial fraction technique (a) § =' x* + 4 x + 8 x - 4 dx (x² + 2 )'

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Q: A person holding a ball is on top of a building. The person jumped at the rate of 1 ft/s while dropp...

A: For finding out the height of the building write the relationship between height, time and initial v...

Q: Problem 03: Find the particular solution to the differential equation y' + ytanx = sin2x with the gi...

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Q: Cells in tissue attach to each other through membrane bound adhesion molecules. Many cells extend pr...

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Q: Electric Power- P= fCE,R) R2 = E %3D Eismeasured to be 10 with max error of 0.3 his measured to be 2...

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Q: 1. Use L'Hopitals's rule to find lim c In(e" – 1). |

A: limx→0+ xlnex-1

Q: as and dw/t using the appropriate Chain Function Values W = sin(4x + 5y) X = s + t, y = s – t %3D TC...

A:  Given  w=sin4x+5y   x=s+t       y=s-t

Q: Jsing the definitions of limit and/or infinite limit, show that if lim,-o Sn = 00, then also lim,-o ...

A: Given query is to find the limit of the expression.

Q: Time left 97:05 In(5z 9) Find the derivative of the function f(x) = x* sin(6x + 14) + Answer:

A: The solution of the given problem is:

Q: Use the formula below to find the slope of the tangent line to the curve at the given x-value. f(x) ...

A: We can evaluate the slope of tangent by the definition of derivative process.

Q: A drug is injected into the bloodstream of a patient through the right arm. The drug concentration i...

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Q: A solution to the trigonometric equation cos z = - is. | Let f(z) = r² and g(z) = 2". A solution to ...

A: Given that:                        1. cosx=-122. f(x)=x2 and g(x)=2x3. x+3x-2     NOTE: As per our a...

Q: * 00 5 Find the intervals on which f(X) is increasing, the intervals on which f(x) is decreasing, an...

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Q: Question 1-3 10z - 10z z' + 2x For the rational equation 1, identify this equation's solution and an...

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Q: The displacement function of the motion of a particle is given as t3 - 2t² + 4t – 6 s(t) 3 Assuming ...

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Q: +2メ+2 2=f(x.y)-4xy 3. +2メ+2y2= T %3=

A: Derivative: - The function's derivative is the equation we discovered. The derivative is defined as ...

Q: Find the value of k such that the area of the region under the curve y = x(k – x), (0 < x < k), is 1...

A: Given: To find the value of k such that the area of the region under the curve y=x(k-x), (0≤x≤k) is ...

Q: dy —%3 ху — 4х dx

A: Use variable separable method.

Q: Consider the function f(x) = x cos x. Out of all the many tangent lines of f(x), determine the one t...

A: Topic - application of derivatives and tangent equation

Q: e+?dx 3. | Vx + 3e*dx 4.

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Q: Find the area of the region bounded by the line y = 2x − 5 and the parabola y = x2 - 4x

A: The objective of the question is determine the area between given line and parabola.

Q: cos(x) -dx sin (x)

A: Let I =( Integration of cosx/sin2x with respect to x) -----(1)

Q: Evaluate the indicated partial derivatives. = 82²y – 4a°y - az dx dz dy || ||

A: Derivative z with respect to x and y

Q: 10. Evaluate , (2x – y) dA where D is bounded by the circle with center the origin and radius 2.

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Q: nenature of the foiluwingserier and the Sum- 20 2-

A: Explanation of the answer is as follows

Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

A: We have to evaluate  ∫x2x2 + 144 dx. We know,  ∫1x2+a2dx = 1atan-1xa + C      (where C is constant o...

Q: f(x) =x2/3; a = 125

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Q: Find the volume of the solid formed by revolving the region under the curve y = x² +1on the interval...

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Q: 2y(x? — у + x)dx + (x2 — 2у)dy %3 0

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Q: Evaluate the derivative of the function for the given value of x. Check the jesult using the c ve ev...

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Q: 6 dx Evaluate the integral Vr? +4

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Q: differential equations. Use method of Undetermined Coefficients.

A: In this question we will use basic of calculus i.e concept of differential equation. Solution of the...

Q: III. Transform the equation of the parabola to the standard vertex form by completing the square. 16...

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Q: | -sinx. cos* x. dx = O cos*x X. + C 4 cos x + C 5 O sin x + C 5 O None

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Q: x sin(x? – 1) Vcos(x² – 1) +

A: Given that: ∫-11xsin(x2-1)cos(x2-1)+13dx

Q: 23. 3y(x? – 1) dx + (x³ + 8y – 3x) dy = 0; when x = 0, y = 1. ANS. xy(x? – 3) = 4(1 – y²)- |

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Q: The center ofa circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the ...

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.

Q: III. Solve the following non-linear Bernoulli equation Yy+y= y? y (x=0) = 3 y(x=0) =3

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Q: Question No. 1: In R,R² and R°;(whenever possible) graph: (i) X = - 3 (ii) x = -4 (iii) x =5 (iv) x ...

A: Draw the following equation on the graph by simply plotting the points.

Q: 3) Suppose an object moves along a horizontal path with the position function x(t) = 41 –t? on the t...

A: Given the function