Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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A: Please follow the next step.

Q: The length of a rectangle is given by 4t - 3 and its height is √21, where t is time in seconds and…

A: We know that area of a rectangle is defined as (length of rectangle)(Height of the rectangle)

Q: Find x, y and z, if the matrix A = a) x= 2₁ y= V₁ = √3 b) √√6 =√², y = x= 2= c) None of these d)…

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Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

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Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line…

A: We can find the area as below.

Q: 5. Use the cylindrical shell method to determine the volume of the solid obtained by the revolving…

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Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

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Q: Numerical Integration: •2 S² 1. -dx X

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Q: Prove 3. The auxiliary equation of the differential equation (D² - 6D+9)y = 0 falls under. your…

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Q: Use implicit differentiation to determine the derivative of the following functions. 1. 3x²+2y²-81…

A: Given :3x2+2y2-81=05x2+4y=16

Q: 8. The general solution of y"- y = x²ex + 5

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Q: dx 2 X - 25

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Q: 4 The reverse order of So Say 0 J4y +2 ex² dxdy is equal to e-1 se O None of them O

A: To evaluate the given integral by reversing  the order of the integration.∫01∫4y4ex2 dx dy

Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D3 + 2D2 – 5D – 6)y =

A: Topic:- differential equations

Q: How far does the car travel during that time? * Onone of the choices O260.133 ft O 300 ft O258.133…

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Q: 1 -4 The reverse order of SO SAY ex² dxdy is equal to e-1 8e None of them O

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Q: 2 = xey + yex, Find x az z дх' ду

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Q: Lim (sinx)* x-0+

A: All the necessary steps have been provided in the solution along with explanations. Follow the steps…

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A: We are asked to find the tangent line of the curve.

Q: Determine the 3rd derivative of the given function f(x) = (3x² - 5x + 6)4.

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Q: Lim (112²28 - 1²/²) \sin²x

A: Given problem:-

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! General solution of (x²y³. - 1+9x²) dx + x³y²dy = 0

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Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

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Q: Question 4 If f is continuous on [a,b], then T) True F False [xf(x)dx= x₁ b a f(x) dx

A: Given query is to find the statement is true or false.

Q: Consider a function f whose domain is the interval [a, b]. Show that if |f(x) − f(y)| ≤ (x − y)²,…

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Q: y = Arctan ( 2+x 1-2x

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Q: If ye cos x 8 lnx, find f'(x).

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Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

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Q: x+2 Determine the case of the following proper rational function after simplification: (x2 -…

A: Here, the rational function is: x+2(x2-4)(x3-8)=x+2(x2-22)(x3-23)=x+2(x-2)(x+2)(x-2)(x2+2x+4)

Q: 1₁ (16-x²) dx -1 What is the approximate area of the given function using the Right Riemann Sum…

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Q: 4. 27x³ − 9x¹ +3y¹ -23x² +13x -7 = 0

A: Find out the derivative of the function.

Q: 3. Using the Gauss-Seidel method make three iterations for the linear svstem x(0) = 0, 4x - y -z =…

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Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) (Differential Equations) Particular solution of y" -…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Z ек у -4x Find any ду az ах

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Q: (a) Verify that tanh P-tanh Q 1-tanh P tanh ọ tanh( P – Q)

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Q: Find the linear equation of the given below using any of the 3 methods. Show your solutions here. X…

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Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

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Q: Calculate the points of intersection of the curves x² = 4y and aup ert neswted biloa ent to y²/4 = x…

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming A B © ² с -dz 1+z² © S²+ /…

A: Please see the answer below.

Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

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Q: Find the area bounded by : f(x)=e*, g(x)=e¯* and x=3. A (e²+ 1)² e² sq. units B (e³+ 1)² e3 (e³-1)²…

A: Given that,

Q: The general solution of (D³-4D2)y=0 is A y=c₁+ ₂²x+c₂e-²x By=c₁+ c₂x + c3e4x - 4x Ⓒy=C₁ + c₂x + c3е¯…

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Q: 2. lim x sin(1/x) X18 ex+2x 3. lim X18 ex

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Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).