Find the vertex of f(x) = 4.4x- 32.6x +55.1 using your graphing calculator. Round your answer to three decimal places.

Q: 1. The ground crew is filling the fuel tanks. You know they fill the tanks at a rate of r=100et, whe...

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Q: Determine whether the function is one-to-one. If it is, find its inverse function. f(x) = ∣x − 2∣, x...

A: Givenfx=|x−2|,x≤2

Q: Solve the logarithmic equation log2(x - 6) + log2(x - 4) - log2 x = 2. Be sure to reject any value o...

A: we have to solve the logarithmic equation log2(x - 6) + log2(x - 4) - log2 x = 2.  

Q: By changing to polar coordinates, evaluate the integral ∬D (x2+y2) 3/2 dxdy where D is the disk x2+y...

A: Given integrand is ∬Dx2+y232dxdy where, D is the disk x2+y2≤49 We have to evaluate ∬Dx2+y232dxdy Cha...

Q: Find the function y = f (t) passing through the point (0, 10) with the given differential equation. ...

A: Given: dydt=-9t; y0=10 for finding solution of given differential equation, we use variable separabl...

Q: The diagram shows part of the curve with parametric equations x = 2 In(r+ 2). y =+21+3. %3D (i) Find...

A: Given that: x=2lnt+2,   y=t3+2t+3

Q: The amount of money (in billions of U.S. dollars) that a country spends on research and development ...

A: Solution=  The function is  f(t)=43e0.19t (where t=0 corresponds to the year 2000) a) find the value...

Q: Find the linear approximation to the following functions at the given point a. ƒ(x) = 4x2 + x; a = 1

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Q: evaluate the iterated integral.

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Q: Solve for x in terms of b . Report your answer using set notation. 1 1 - log,(x³) + - log,( x2 2 2x ...

A: The given equation is 13logbx3+12logbx2-2x+1=2 Solution: the equation is,  13logbx3+12logbx2-2x+1=2 ...

Q: The graph of a polynomial function is given (see attached). What is the smallest degree that each po...

A:   We know that the number of turning points in the graph of a polynomial function is one less than t...

Q: Combining derivative rules Find the derivative of

A: Recall quotient rule ddxmn=mddxn+nddxm dydx=ddx4xexx2+1=4ddxxexx2+1=4·(x2+1)ddx(xex)-xexddx(x2+1)(x2...

Q: Evaluate expression,or indicate that the root is not a real number.

A: The given expression is given as, -344.   Solution, The given expression can be simplified as, -344=...

Q: Some ofthe geometric formulas we take for granted today were first derived by methods that anticipat...

A: As per company's norm we are allowed to solve one question at a time. Repost the rest question again...

Q: Length A woman 5 ft tall is standing near a street lamp that is 12 ft tall, as shown in the figure. ...

A: we know that according to given figure two triangles are similar and in similar triangle ratio of si...

Q: A 2. In the figure above, AB = BC = CD = DE, all triangles are right triangles. If AE = 10, what is ...

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Q: Find the numeric value ( in terms of c ) for the following definite integral analytically by (a) Int...

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Q: Find the derivative of the trigonometric function. h( ) = 5 sec + tan

A: Given, hx=5sec x+tan x

Q: Is the function f(x)  = x 3  one-to-one?

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Q: Calculus Question

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

Q: dy let y = cos(In(cos(x))), then IS is da Select one: a. tan x. cos(In(cos z)) b. tan r. sin(hn(cos ...

A: Given: y=coslncosx we know that ddxcosx=-sinx                                       ..1

Q: 8- what is average value of f(x)= |sinx| between 3pi/2 and 7pi/3

A: The given function is  f(x) = |sinx| Interval is given as 3pi/2 to 7pi/3

Q: Q#5 Evaluate the integrals using the indicated substitution. i) i) iii) iv) S 2x(x² +1)23 dx; u = x?...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Find the derivative of y = 2x cos x − 2 sin x.

A: Given function y=2xcosx-2sinx dydx=ddx2xcosx-2sinx=ddx2xcosx-ddx2sinx Recall the formula ddxmn=mddxn...

Q: Differentiate the function   f(x) = x ln x -x

A: Given: fx=xlnx-x

Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between t...

A: Our Aim is to compute the dot product of the vectors u and v, and find theangle between the vectors ...

Q: Mixed Partial DerivativesIn Exercises 55–60, verify that

A: (Note: We are entitled to solve only 1 question at a time). Given: w=ln2x+3y To Verify: wxy=wyx Conc...

Q: Calculate the volume under the elliptic paraboloid z=3x2+7y2 and over the rectangle R=[−2,2]×[−4,4]

A: Explanation: We know that,  Volume =∬zdydx By using the double integral concept, the volume of the r...

Q: Find the present value of $10,000 if interest is paid at a rate of 9% per year, compounded semiannua...

A: A=P1+rnntFor compounded semiannually, n=2