From the following table of values of x and y, find \F(dy,dx) d?y dx2 and when x = 5-5: 4-5 5-5 | 7 26-36 32-34 6. 6-5 y 9-69 12-90 16-71 21.18 Est

Q: Suppose f(0.25)=f(0.75)=b. If the Composite Trapezoidal rule with n=2 gives the value 4 for \int_0^1…

A: Introduction: The trapezoidal rule is a method to approximate a definite integral numerically. In…

Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

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Q: Differentiate the function. y = V 3x2 + 8x + 1 dy dx

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Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: Evaluate f S S," x dz dy dx

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²

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Q: Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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Q: Find the derivative, dy / dx, at the points where x = 1 on the folium                    (x 2 + y 2)…

A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

Q: find dy/dx for the following relation please, using implicit differentiation.  4x2ln(y) - x3 - 4 =…

A: 4x2ln(y)-x3-4=2yddx(4x2)ln(y)+4x2ddxln(y)-3x2=2dydx(8x)ln(y)+4x21ydydx-3x2=2dydx

Q: what is the derrivative of y^3 + y^2cos(x) = x^3 -3x and what points in the function for dy/dx does…

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Q: Find the derivative of y with respect to x. y = 9 In (6 In x) dy %3D dx

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Q: (a) Determine the interval width so that the composite trapezoidal rule can be used to compute xe*dx…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: Find ay for the following functions: dx 1- y = (Inx. Vsin x 2- f(x) = xcos2x

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Q: Evaluate the derivative at the given value of x. dy Vx, find dx If y = 3 OA. 16 11 OB. O B. 16 11…

A: Differentiate the function y with respect to x to find dydx.

Q: Find dy/dx for y = x*, x>0.

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Q: Use implicit differentiation to find dy/dx given that x^2+xy+y^2=7.

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Q: Find the derivative (dy/dx) of the following functions: h) у%3D Зx7 —7х3 + 21x2 - i) y = (x² +…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: Find of/dx and dfldy. f(x,y)% 3 (3xy-1) of

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Q: Use the Simpson's rule to estimate S, ex dx with n = 4

A: Consider the given integral ∫12ex2dx with n = 4. Simpson's rule is,…

Q: dy Find for the following functions: dx 1- y = (Inx. Vsin x ) %3D

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: dy 3- Find dx for the following function: A- y = ecosv3x-1 B- y = x². secx

A: (a) Evaluate dydx of the given function as follows.…

Q: Differentiate the following function. y = x12 ex dy dx II

A: To differentiate the function y = x12ex

Q: Differentiate the following function. y =x³ ex dy dx II

A: Our Aim is to differentiate the following function given below:-y=x3ex -(i)

Q: Find dy/dx and d²y/dx². x = et, y = te¬t dy dx dzy dx2 For which values of t is the curve concave…

A: We have to find derivative

Q: ay Differentiate implicitly to find x + y dy dx %3D

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Q: find the values of the derivatives dw/dz at z=4  if w=z+sqrt(z)

A: Write w using an exponent Then use the power rule to find the derivative of w with respect to z.

Q: y=10tan.x

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Q: 1. Differentiate the following: а. у %— y = x²e2x, find dy/dx

A: Differentiate the following

Q: 1. Use the delta method, 2 BONUS MARKS y = 5x² dy dx = lim h-0 f(x+h)-f(x) h to find dx for the…

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Q: of of For the function f(x,y) = 4x* - 3y' - 8, find and dx of %3D dx of

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Q: Find d^2y/dx^2.  x=4sin(t), y=5cos(t), 0<t<2*pi d2y/dx^2 = For which values of t is the curve…

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Q: dy Find for the following function. dx 3 - cos X y = 4 + coS X dy dx II

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Q: Use the Trapezoidal Rule with n = 4 to estimate f, (x³ + 1)dx.

A: We have to estimate ∫-11x3+1dx by using the Trapezoidal rule with n = 4.

Q: dy Differentiate implicitly to find dx 3 7. 2 x'y +4x = 3y +2 54 3 dy dx

A: Given; x5y4+4x32=3y73+2 To Find: dydx using implicit differentiation

Q: Use the composite trapezoidal and Simpson's rules with step length h = 0.4 to estimate In(2+3/x)…

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Q: dy Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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Q: From the following table of values of x and y, obtain the equation for dy/dx and d'y/dx2 and its…

A: First we find equation.

Q: If f(x) • g(x) is to be integrated with respect to x, taking dx as the differentiated variable,…

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Q: 2. Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

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Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: use implicit differentation to find dy/dx and d2y/dx2 at the point (1,0) for the given function…

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: Use the Trapezoidal Rule with n = 4 to approximate the value of: +1)dx.

A: Given,  ∫12x3+1dx, n=4

Q: Show that f(x.y) dy dx= ,f(x,y) dx dy. ||

A: Order of change of integrals

Q: dy Find for the following function: dx 1- y = etan'x

A: It is differentiation using chain rule.

Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: Q4/ Evaluate (xy + e") dy dx using Three point formula in x,y-axis and two point formula in z axis

A: You must have an basic idea of double integral to solve this.

Q: Use the Trapezoidal Rule with n = 4 to estimate f, x² dx. Compare the estimate with the exact value.

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