Question 29 In the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is zero. (A) The roots are real and distinct. B) The roots are complex and equal. C) The roots are real and equal. The roots are complex conjugates.

Q: below F(x) = 1.) lim f(x) = X-3 x-3 x² +1 4x + 5 2x² - 1 if x 3 2.) lim f(x) = X-0

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: B. Graph each equation. 3. 3x²2y² - 12x + 12y = 12 4. x² + 2y² + 2x - 8y = -5

A: Graph of : 3x2 - 2y2 - 12x + 12y = 12

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A: This question can be solved by using the concept of nature of roots of n degree polynomial.

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A: We are given that in a 200 gallon tank , intially there was 100 gallon of water which contains 20…

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A: Given ∫07xx+13dx

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Q: R is the region bounded by the functions f(x) = -7 and g(x) = -4x - 10 over the interval [a, b]…

A: We have to find the integral

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

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Q: 10. f3, (x²-1) dx

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A: Definate integration

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A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: Let (1) u(x, y) = xx vx, (2) u(x, y) = In(ex + ey). (3)

A: u(x,y)=xyyx u(x,y)=ln(ex+ey) Repost the next parts.

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Q: FIERNICE. B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Solve the homogeneous differential equation

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A: We have to solve integration  As per Bartleby guidelines we have to solve 1 question if you need…

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Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: Let f(x)=2x - 4x + 5. a. Find the values of x for which the slope of the curve y = f(x) is 0. b.…

A: Topic = Derivative

Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t² -…

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Q: (d) Find a vector function that represents the curve of intersection of the two surfaces: the xy…

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Q: da potential function f for the field F. F = (4y + 2z)i + (4x+z)j + (2x+y)k eneral expression for…

A: Topic:- application of integration

Q: Q1: Find the for the following functions: dy dx 1- y = e(x+In 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh…

A: 1)y=ex+ln(5x) 2)y=cosh-1sin2x 3)y=xsinhx

Q: 5TT Convert the polar coordinate 9, 3 X = y = to Cartesian coordinates.

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Q: Using Simpson's method ²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Let f(x) = 2x³ - 3x² - 120x+7. a. Find all points on the graph of f(x) at which the tangent line is…

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Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

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Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.

Q: (x²-1) + 2y = (x + 1)² dy dx

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Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

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A: Concept of combination is used

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Q: y = sec² x tan(2x)

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Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: 4. 2x³y = y (g2 + 3z2)

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Q: x³ + 3y = xy (By implicit differentiation)

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Q: Evaluate the following: π 1.² (cot 20 + csc 20) de 6 TU cost 2. S1-sint 2 dt

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Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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Q: could you elaborate how to get the missing limits

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Q: Find a potential function f for the field F = 4y + 5z ( i + 4x j + 5x k). A general expression for…

A: Solve as general