Define H(x) = - 14x28 H(z) = (f o g)(æ). Recall the rules of exponents 6x* – 6 and f(x) = – 14x" - 6x – 6. Find a function g(x) such that %3D 2ª –b, #ªz³ = xa+b, (xª) = 2ab %3D 9(a) :

Q: O Fimd the that is boun ded between fe)= 2-x ond gla) = 4-x² ef Hhe regitn glo) = 4- x²

A: Toipc-Area under the curve

Q: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α...

Q: Let f be the function defined by f(x) = 2 sin x + cos x. The average rate of change of f over the in...

A:

Q: Describe the transformation of the parabola in words: Dy = -2(x + 6)² + 9 b) y = 1/2(x - 5)² + 3

A:

Q: Consider the function below. |f(x) 4 3. 2- i 2 3 4 5 6 7 8 (a) How many critical points does f(x) ha...

A: In the question it is asked to calculate various critical points and maxima minima for the graph giv...

Q: Please complete part a

A: Here, the region is given by Ω={(x,y):-1≤x≤0, -1-2x≤y≤x2}∪{(x,y): 0≤x≤1, 2x2-1≤y≤x2}.

Q: 3 While shopping at the school bookstore, Ric purchased 4 book covers for $1.25 each, and a pen that...

A: As per our company guidelines we are supposed to answer only one question kindly post other question...

Q: The table below gives the position of a particle moving along the x-axis as a function of time in se...

A: Given: The position of particle as a function of time    Also, we know that formula for average velo...

Q: Let f(x) = and g(x) : 2x + 3. Compute (f o g)(x). All fractions and liked terms - lx + 4 5x + 4 must...

A:

Q: Evaluate the integral using the Evaluation Part of the Fundamental Theorem of Calculus. dx 1/2 dx = ...

A: We use fundamental theorem of calculus for definite integral

Q: Consider the function  f(x) = x3 + x2 − x + 9 on the interval [−3, 0]. a. Find f '(x). b. Find the ...

A:

Q: Find the trace of the plane in the given coordinate plane.3x − 9y + 4z = 5,  yz

A: The trace of the plane in yz plane is obtained by substituting x=0 in the given equation of the plan...

Q: Consider the function f (t) = –2t3 – 6t2 + 8. - f (t) describes the position of a particle at t seco...

A:

Q: 13 and cot B 12 15 find the following. If a and ß are acute angles such that csc a = (a) sin(a + B) ...

A: Solution: The objective is to find the required values

Q: Selected values of f(x) are shown in the table below. What is the midpoint Riemann 15 sum approximat...

A:

Q: if f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable at (2,F(2))   true o...

A: Given statement is If f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable a...

Q: The bacteria population in a bottle at time t (in hours) has size P(t) = 1000e0.35t . After how many...

A:                                            P(t) = P0 ekt                   To find :                ...

Q: The consumer demand equation for tissues is given by q = (103 – p)², where p is the price per case o...

A: Given the demand equation is: q=103−p2  

Q: Compute the curl, V x F, of the vector field. F(x, y, z) = 7xi + 9yj + 2zk curl(F) = -7xi – 5yj + 2z...

A:

Q: Is it possible to get the area between y2 = 3x and y = x3, using  a. vertical strips b. horizontal s...

A: finding the area 

Q: find the absolute maximum and minimum valuesof each function on the given interval. Then graph the f...

A: Given: f(x)=4-x2 -2≤x≤1   To find: 1)the absolute maximum and minimum values of each function on th...

Q: Suppose that f(x)=(e4x)/(x2+5). Find f'(2).

A:

Q: Calculate the left Riemann sum for the given function over the given interval, using the given value...

A:

Q: Use the Maclaurin expansion for e− t2 to express the functionF (x) = " x0e −t2 dt as an alternating ...

A: Given: F(x)=∫0xe-t2dt To use: Maclaurin's expansion for e-t2 to express the function F(x) as an alte...

Q: True or False If f(x) = x and g(x) = Vx + 9, then (fog)(4) = 5. %3D

A: Given, f(x)=x2 & g(x)=x+9 To determine the statement f∘g(4)=5 is true or false.

Q: 4. The natural exponential function is its own derivative.Explain what this means graphically. (Use ...

A: We don’t know anything about derivatives that allows us to compute the derivatives of exponential fu...

Q: Suppose x2 + y2 + 1 = 0. Use implicit differentiation to find dy/dx. Then explain why the result you...

A: we have to find the dy/dx.  for function x2+y2+1=0 ...........(1)

Q: can you help me with this please?

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y) ...

A: Topic- Vectro

Q: FIND AND SKETCH THE DOMAIN

A: Find and sketch the domain of f(x,y0=x+xy

Q: Estimate how much the function f (x) = 1/1 + x2 will change if x decreases from 1 to .9.

A: Given: The function  f(x) = 11+x2 To find: How much the given function will change if x decreases fr...

Q: Find antiderivative SfGsde for; the flas Sin 5x pcos sa Sin Sx e f Ga)= Sec (sx) tan (5x) q t (sec S...

A: Solution: The objective is to find the antiderivatives of the given functions

Q: Derivatives involving ln x Find the following derivatives..

A: Our Aim is to find the derivative of the following function given below:-ddxln xln x+1-(i)

Q: The Maclaurin series of the function f(x) = 5z? sin(32) can be written as f(x) = n=0 where a few of ...

A: Please see the explanation below

Q: 7. Find the asymptotes, if any, and draw the graph of the equation xy – 2y – x = 0.

A: Given equation, xy-2y-x=0

Q: Use the shell method to set up and evaluate the integral that gives the volime of the solid generate...

A:

Q: solve each inequality algebraically.

A: Given that the inequality algebraically. To solve this inequality :-

Q: The charge for a bicycle repair was $9.28 for parts, h of labor at $18 per hour, and a $2 shop fee. ...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Evaluate the double integral. |/ (2x + y) dA, D = {(x, y) | 1 sy< 2, y – 1 < x < 1}

A: Evaluate the double integral  ∫∫D2x+y dA     , D=x,y|1≤y≤2,y-1≤x≤1  

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your answer...

A:

Q: Calculus Question

A:

Q: 6. Examine the function given below for relative extrema and saddle points. f(x, y) =x²- 3xy -y?

A: find we will find extreme point take partial derivative is equal to 0 see full solution visit 2nd st...

Q: Interpret the integrand as the rate of change of a quantity and evaluate the integral using the anti...

A: ∫cosx dx=sinx formula used,

Q: Estimate 3square root 26.8 by using the linear approximation centered at a convenient value.

A:

Q: Suppose f(x)=ln((ex2)/(x-6)7). Find f'(x).

A: We have to find f'(x).

Q: 6) The dimensions of a triangular prism are shown in the diagram. What is the volume of the triangul...

A:

Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using th...

A: Evaluate the double integral using easier order

Q: 9(118 + 3) + 11 9x2 + 11 Set H(x) = and f(x) = Find g(x) such that H(x) = (ƒ o g)(x). 5(118 + 3)" – ...

A:

Q: Find the area A under the graph of f(x) = e sin (x) from 0 to a. (Express numbers in exact form. Use...

A: