Example 20 Let functions f and g be defined by f(x) = 2x +1 and g(x) = x² – 2 respectively. Find %3D a. (gof)(4) tW b. (fog)(4) the. (gof)(a +2) d. (fo g)(a +2) 4at2 = 2 (at 49+2) H 2 Islate : Find og) (a++) = 2a 18u+4 +1 %3D

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A: The given polar equation is  r=5+4cosθ. To find: The slope of the tangent line to the graph of the p...

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A:

Q: Solve for the derivative of the given functions using the Chain Ruleformula.Let g(x) = sin (cos x). ...

A: we have , g(x)=sin(cosx)

Q: 3. In AABC, cos A = , cos B = Find b in simplest radical form. 1, and a = 6. %3D 23

A: Given: Cos A=12Cos B=-14 and a=6We know that Sin2θ+cos2θ=1From the above equation: sinθ=1-cos2θ

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Q: 21. Use separation of variables to find the general solution of the differential equation. dy = 5r* ...

A: we use logarithmic properties

Q: solve the given question by intigration by institution and by parts?

A: Given: ∫cosln xdx

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A: We use substitution method

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Q: Find the Taylor polynomials (centered at zero) of degrees 1, 2, 3, and 4. f(x) = e¬X/3 (a) degree 1 ...

A: We have to find the Taylor polynomials of degree 1,2,3,4 centred at 0.

Q: h(x) = (7 + x)3 (x) = n=0

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A: Given the equationx3−y3=6xy

Q: please show all work

A: Please see the answer in step 2.

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Q: q8 A, B and C

A: *to find:- integral value of the given function using trigonometric substitution.

Q: (1) The unit vector in the direction of the vector 37+ 4k is (2) The dot product (-2,1,3) (5,4, 3) =...

A: As per company's guidelines, I can answer only one question. Repost the question to know rest.

Q: In a neutron cell, the opening and closing of ion channels are governed by the following equation: d...

A: Given: dudt=α(1-u)βu

Q: 125. y = / V2 + cos³t dt

A:

Q: https://www.chegg.com/homework-help/questions-and-answers/q2-evaluate-following-determinant-using-ro...

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Q: Question 6

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Q: Find the derivatives and then find an equation to the Tangent line at the indicated point. (1) y= f(...

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Q: For what x is x(2x+3) positive?

A: For f(x)=x(ax+b). (1) f(x) is positive: ⇒x(ax+b)>0⇒x>0 and ax+b>0 OR x<0 and ax+b<0⇒x...

Q: cosh(1+Inx)= Select one: e?x2-1 2xe x2 +1 O 1+ 2х O Zero e Inx e2x2 +1 2xe O None

A: Given cosh1+lnx

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A: (i) The given geometric sequence is 8, 16, ..., 2048. Evaluate the common ratio as follows. r=a2a1=1...

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A: Given the slope of the tangent line of graph of y=f(x) at (x,f(x)) is 6x + 2, so dydx=6x+2 Now solve...

Q: Find the area of the quadrilateral to the nearest square unit.

A: Divide quadrilateral into 2 triangles. Then find area of each triangle. 

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Q: Find the Taylor polynomials (centered at zero) of degrees 1, 2, 3, and 4. See Example 1. f(x) = In(3...

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A: Given v ( √3 ,1)  We need to find magnitude and direction

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A: Given, rt = 60t2+3-20e1-2t  Where t is the number of weeks since measurements began and rt is the am...

Q: Use technology to approximate the given integrals with M = 10, 100, 1,000, ... Then decide whether t...

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Q: 1. Use a definite integral to find the area under the curve y = 5 – 2x over the interval [-1,2], and...

A: The area under a curve between two points is found out by using a definite integral and the formula ...

Q: Find the sequence of partial sums S,, S2, S31 S4. and S- 7 7 7+- 4 7 Σ 4n - 1 n = 1 7 + + 64 7 + 256...

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Q: I For the parabola -2x = 16y + 4y² + 13, for what value of y does x have a minimum? 3. If the

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Q: Solve by integration: A segment of a parabola is an area bounded by the parabola and a line perpendi...

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Q: Question 11

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A:   Particular solution is the solution which obtained by giving particular values to independent arbi...

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Q: Find the radius of convergence, R, of the series. 5n R = Find the interval, I, of convergence of the...

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Q: Evaluate the definite integral. *a/6_sin(t) _ dt cos?(t)

A: Given, ∫0π6sintcos2tdt  We have to evaluate the definite integral.   

Q: Find a power series representation for the function. (Give your power series representation centered...

A: The given function'- fx=x36+x2 fx=x1+x236 fx=x1+x362 fx=x1--x62 we know the following series 11-u=∑n...

Q: The following are the parametric equations for the motion of an object: x(t) = t cos (5t² + 2), y(t)...

A: Given a parametric equation, x(t)=t cos5t2+2,  y(t)=t2 ln(-5t)

Q: exy2z 1. Given yz x²y + y²z+10=0. Find 2.

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Q: #59 only. Convert the polar equation to rectangle coordinates.

A: Calculation are as follows

Q: Find a power series representation for the function. fx) = (1 – 6x)? fx) = > ( n+1 6 Y-2 Determine t...

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Q: w'e*" dw

A: Given : The integral is ∫-12 w2 e4w dw .  

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.