f(x)%=11x' +17x° +2x² -Ox° +0x +3

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: Find the particular solution for y' = x3 – 2xy when x = 0, y = 1

A: We are given a differential equation: dydx=x3-2xywith the initial cobdition x=0, y=1 We can solve…

Q: Find DF of fcxiy)=x²e° at the point (-2,0)-

A: Given function is fx,y=x2ey. We have to find the ∇f at the point -2,0. We know that ∇f=∂f∂xi+∂f∂yj…

Q: 2. -1z"cosdz zl=1

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Q: Find a degree 4 polynomial that approximates the solution of y'=y+x², if y=1 when x=0. a.y=1+x+ b.…

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Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

A: Use double derivative concept

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: Consider the given cubic polynomial fx=ax3+bx2+cx+d, it has horizontal tangents at the points (-3,2)…

Q: f(x) = 2+ 3x² – 8x3 -

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Q: What is the coefficient of the x term in Maclaurin polynomial for sin(2x)

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Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: Find: ydy-xdx (x2+y2) 0< x<1 & 0 <y<1

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Q: Consider a cubic polynomial with a negative leading coefficent. The instantaneous rate of change at…

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Q: Your polynomial should have. Degree 4 Roots at -2, -4 and 3 f(x) approaches negative infinity as x…

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Q: Integrate (1/ (3x + 4)) with respect to x and evaluate the result from x = 0 and x = 2.

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Q: 4. j(x) = x² secx 5. k(x) = 9x"/3 + 2

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: 9. Create the equation of a polynomial function where the instantaneous rate of change is equal to 0…

A: A polynomial is one of three basic mathematical functions. This function is widely used in different…

Q: Solve by reduction of order. Find y2 and y (x² + 1)y" – 2xy' + 2y = 0 yı = x -

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Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: Find the second derivative. 3 2. y = 7x-8x+4 e* O A. 28x-16-4 e^ O B. 16x- 28-4 e O C. 16x- 42 + 4 e…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: -x-1 a) y' = +2yi-1 v(0)=1

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Q: 6. Find the domain of y = Vx+ 4x + 5x + 2 + Jxl-|x+1]

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Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: Q-3: Plot the zeros of each polynomial on a line together with zeros of its first derivative. 1. y =…

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Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: 14. The f'(4) for y = v3x2 + 1

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Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: We have to find the cubic polynomial f(x)=ax3+bx2+cx+d...........(1), so that it has horizontal…

Q: 8. The graph that could represent a fifth degree polynomial of the form y = ax+ bx + cx + dx² + ex +…

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Q: 5x^2−3x−8 has roots at x=

A: Consider the quadratic equation To find - roots

Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: b) f(x)=6x+ +7x² – 8x+ 9 Туре of polynomial Degree Sign of leading coefficient End behaviours Domain

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Q: 2a V2ax 2ах f (x, у) dydx (a > 0) е. 2ах-х2

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Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b)…

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Q: What is the maximum number of relative extrema for a polynomial of degree =n?

A: Polynomial of degree n.

Q: The Taylor polynomial of degree 100 for the function ƒ about x = 3 is given by (x – 3)100 50! 2n…

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Q: Find the linearization L(x) of y = (64+3x2)-1/2 at a = 0. L(x) = %3D

A: The given function is: y=f(x)=(64+3x2)-12 So, f'(x)=-1264+3x2-32(6x)        =-3x64+3x232

Q: b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

A: Let x,y =1,-2 and x2,y2 =4,3Then by Lagrange 's method , interpolating polynimial is given…

Q: if we have the following polynomial regression function Yi=5-24X+2(X^2)+ei. then the value of Xi…

A: An estimated polynomial model of y on x of order 2 can be written as

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

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Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

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Q: 4) Polynomial of lowest de 1) and with f (0) = -18

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Q: ydx + 2(y4-x)dy=0

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Q: Find: ydy-xdx (x2+y2) 0<x<1 & 0<y<1

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Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: Integrate (1 / (3x + 4)) with respect to x and evaluate the result from x = 0 and x = 2.

A: To evaluate: ∫0213x+4dx We know that ∫1ax+bdx = lnax+ba+C

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Q: y = (2x + 1)v2x+1

A:

Q: V8 -x² 2 (x² +y²) dydx

A: