Solve for the variable of the following quadratic equations. Kindly provide a COMPLETE and CLEAR solution *Answer should be typewritten*

Q: Find the domain and range of: 1) y = 2) y =√1-x², 3) y = x² - 2

A: We can find the domain and ranges in the below steps.

Q: 1. h(x) = √4x²

A: Given function h(x)=4-x2

Q: 2. dx tanx 4t² dt

A: To differentiate the given function.

Q: 3. For the given differential equation, do the following: 6y²dx-x(2x³ + y)dy = 0 a) Find P(x) or…

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Q: #8) x=y²-8 No need to integrate any of the setup below. a) Only give the setup with respect to "dx"…

A: Here we have to find the area of shaded region..

Q: C2 2. y(x) = C₁x + C₂ + x² - 1

A:

Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the general solution of y'= sin²xcosy.

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Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: fcos (x) sin(x) dx

A: We need to find out the integration of the given integrand.

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

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Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

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Q: Question The base formed by slicing through the center of a solid S is the ellipse+ = 1. The cross…

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Q: Q6) (E.G.) If AABC~ A EFG, 2A 3EG and the perimeter of AABC is 12. Then the perimeter of A EFG is:…

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: How many cups tall is the Blue Trophy ? Show a clear path to your solution. Making a Table and a…

A: Given- Trophy is 51.6 CM1 Cup is 9.5 CM2 Cups is 10 CM3 Cups 10.8 CM4 Cups 11.4 CM To find- How many…

Q: 5. Let f(g(x)) = H and H = √√x² + 4 a. If f(x)=√x, what is g(x)? b. If g(x) = x2, what is f(x)?

A: f(g(x))=Hand H=x2+43

Q: Q15) The Parallel Postulate of Euclid is equivalent to: A) The Plane separation postulate B) Pasch's…

A: Solution

Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given That,  Sec(2x)= 3^x

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: 4. f(u) = 3u² +2u-6, g(x) = x + 2 5. f(u)=u², g(x)=x²-₁ Find the indicated composite function 6. f(x…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

A: The given vectors A=3i+j+4k, B=2i-3j-k we have to find the vector normal to A and in plane of A and…

Q: A V(t) = -1,700t + 32,000; value after 5 years = $23,500

A:

Q: 5-4 TIME FOR A LUMP SUM TO DOUBLE. If you deposit money today in an account that pays 4% annual…

A: On solving this we will get

Q: J. (1+vx), √x dx

A:

Q: v − 1) dx + (x + 1) dv=0. If v= 2 when x = 1 determine v when x =

A: The given differential equation is; x(y+1)dx+(x+1)dy=0

Q: f In dx

A:

Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

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Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

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Q: Prove that: B(x+1; y ) + B (x₂y + 1) = B(x,y) let (x+1)= X5 (X)

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Q: 1.Find the area bounded by y=sin(sin x), the X- and x = π axis and the lines x = 0

A: See this solution in below.

Q: For the function f(x) = 6x² *, evaluate and fully simplify each of the following. f(x + h) =…

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Q: If f(x) = (cos(√) - In (x²))³, then f'(x) = 3

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Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

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Q: Estimate the slope of the tangent line to f(x) = x³ at x=2 by finding the slope of the secant line…

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Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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Q: dy dt = e¹+y +}

A: We can answer the question as below.

Q: (30) -3≤x-3y≤6

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: <++ 10 -10-9-8-7-6-5-4-3-2-1 9+ 8- 7 1 6+ 10 4 3 Y 2- L -2- 3 -4- 5 -6+ -7+ -8+ -9+ -10+ 2 3 4 5 6 7…

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Q: L- matrix and U

A: The objective of the question is determine the L- and U- matrix.