Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let y=3x...

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A: Given: fx=x+1, if x&lt;4x-42+3, if x≥4 To Find:  To determine limx→1 fx, then to graph the function ...

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Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)=   (b)    (g ∘ ...

A: Solving the problem by finding the value of composition.

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: We have to solve the limits

Q: To conclude, state the result when the function f(x) = x³(x + 5) is differentiated. = (x),J

A: Given Function f(x)=x3(x+5) Formula ddx(u.v)=u.v'+v.u'ddxxn=n.xn-1  

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A: We have to find which function is/are homogeneous.

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Q: dy r+1)? dx? d'y +3(х + 1)—— + у%3Dх dx

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Q: (3x*y + 4.xy' + 6)dx + (r* +6r°y -1}ty = 0 1.

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Q: Consider the following. y 6 y = f{x) 4 2 (a) By reading values from the given graph of f, use five r...

A: Given:-The graph of y=f(x) is Note: The values of f(x) can not be observed accurately at each point...

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Q: f(x) = VT cos x2 COS 2x f(x) = x² + 4

A: Here we have to use the product rule Quotient Rule to find the derivative of the given functions.

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Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are c...

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Q: continuous 2十3℃-10 Let fundtion fce)= て-と a H=2 at point then a =

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Q: evaluate

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Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...

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Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: Find carlesian equation of the followina. the 3-Sine 2. r cas (20)= 4 to 4sin (26) 2- 3.

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Q: Hx'+y°-4x+Dy = - 2

A: This question is based on formation of perfect square and solving inequality notation.

Q: 1. lim 5.54

A: To evaluate:limx→ c5.54

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A: We have to write in sin form.

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A:   f'(x) = 0  at x = 1 and x = 6 Hence, the graph of f has a horizontal tangent line as f'(1)= f'(6)...

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Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

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Q: Condense the expression to the logarithm of a single quantity. -2 log6 3x

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Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER...

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Q: QUESTION #5 DEMAND FUNCTIONS The demand function for the Sicard wristwatch is given by 50 d(x) = (0 ...

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Q: 3 PROBLEM 2:f(x) at (-1,3) x+2

A: topic - slope of a tangent line

Q: I. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos³x – 1) dx = 0 2. xy' =2xex...

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Q: FIND THE INDICATE ORM! DERIVATIVE IN TIS SIMPLIFIED (x2-3x)3 1. y= ; d'y/dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

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Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

A: Given:     y = cosh ( ln ex^3 )

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