If f is one-to-one and f( – 13) = 6, then f-1(6) : and (f( – 13))-1

Q: 45° 7 Find X: 07 sqrt(2) 07

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Q: Begin by graphing the square root function, f(x) = √x. Then use transformations of this graph to gra...

A: Given, fx=x

Q: Find the present value of the ordinary annuity. (Round your answer to the nearest cent.) $1200/semia...

A:

Q: Justify whether it is true to say that the given is the nth term of an AP  1+n+n2

A: We have to say that whether the given nth term is in A.P. where, 1+n+n2 We have given nth term of th...

Q: For the differential equation y ′ = y − x ^ 2 + 1, y (0) = 0.5, calculate the solution of y (1) with...

A: We are given that y'=y-x2+1 and y(0)=0.5 According to Euler's method, when y'=f(x,y) and y(x0)=y0 , ...

Q: Find the open intervals on which the function below is increasing and decreasing 2- 8(t) = -12 - 31 ...

A:   We have the function as g(t)=-t2-3t+3   First, we will plot its graph

Q: It is easiest to graph y = 3 csc 2x by first graphing y = ___________

A: Given: y=3 cosec 2x

Q: Find the maximum value of f(x, y) = 3ry(9 – 45x – 9y) over the triangle with vertices (0,0), (,0) an...

A: Maximum value occurs at critical points or on the boundaries of the triangle.

Q: Graph the polar equation r = 2 - 2cos θ. Be sure to test for symmetry.

A: We have to graph the polar equation r=2-2cosθ. We have to also test the symmetry.

Q: Lupé made a down payment of $7000 toward the purchase of a new car. To pay the balance of the purcha...

A: Lupé made a down payment of $7000   She has secured a loan from her bank at the rate of 7%/year comp...

Q: Graph y = 2 tan x/2 for -π < x < 3π.

A: to graph the given equation.

Q: Find a vector tangent to the curve of intersection of the two cyclinders a2 + y? = 8 and y² + 22 = 8...

A:

Q: A geometric sequence begins 12, 3, 3/4 , 3 /16 , 3/ 64 , . . . .(a) Find the common ratio r for this...

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Q: lim ー4メ+4 V4x44

A:

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods cove...

A: Given ∫cos24x dx

Q: Stleset/cat tdt CsC

A: Given integral , ∫t csc tcot t dtwe have to evaluate the given integral.

Q: Find the union of the sets. {1, 3, 7, 8} ∪ {2, 3, 8}

A:

Q: Pls help

A: We can represent 3D coordinate system.  

Q: Evaluate  sin2x*cos2x dx

A: Given that: ∫sin2x.cos2x.dx

Q: let ϕ0(t) = 0 and use the method of successive approximations to approximate the solution of the giv...

A: Given: y′=1−y3, ft,yϕ0t=0 Part a: We know that, ϕnt=∫0tfs,ϕn-1sds Now for n=1,2,3 we get, Let n=1, ϕ...

Q: Find the sum of the series (n+1)² O 36/8 O 36/109 O 36/209 O 36/159 O 36/259

A:

Q: 1) Find the parametric equations of the line that is tangent to circle x2 + y2 = 25 %3D at point (3,...

A:                                                Given: equation of a circle: x2+y2=25  at  a point (3...

Q: Solve the equation 6x - 3(5x + 2) = 4(1 - x), inequality, or system of equations.

A: Given equation: 6x-35x+2=41-x Simplify both sides of the equation 6x-15x-6=4-4x-9x-6=4-4x  Add 4x to...

Q: Evaluate the following limits:

A:

Q: 45° 8 Find X:

A:

Q: Solve for x in simplest form

A: Given equation is 3-2x-4+4=-324x+8+4 solve for x  

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle -160°

A: Given angle: A=-160°

Q: Evaluate the determinant.

A:   The determinant of any given 2x2 matrix is solved as follows   Let A= abcd then the value of deter...

Q: For the following exercises, find the average rate of change of each function on the interval specif...

A: Given function, f(x)=2x2+1   on  x,x+h we have to find the average rate of change of given function ...

Q: Find the first four nonzero terms of the Taylor series for the functions (1 + x)1/2

A: The given function is f(x)=(1+x)1/2

Q: Find the sums of the series

A: Given series : ∑n=0∞ e-n The given series is ∑n=0∞ e-n=e0+e-1+e-2+e-3+.....∑n=0∞ e-n=1+e-1+e-2+e-3+....

Q: Find f + g, f - g, fg, and f/g and determine the domain for the given function : f(x) = 2 + 1/x, g(x...

A: Given fx=2+1x and gx=1x

Q: Pls help

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Q: Let C be the positively oriented square with vertices (0,0), (2,0), (2,2), (0,2). Use Green's Theore...

A:

Q: Simplify the expressions

A: Given that: The expression is log2 e( ln 2) ( sin x) .

Q: Pls help

A: Two unit vectors are given u and v, which makes an angle of 60⁰ with each other. We have to find the...

Q: Simplify:[(1 +1/x)/(1 -1/x)]

A:

Q: Explain the Implicit, General, and Singular Solutions? How are they different from each other?

A:                                          Given :  To differentiate the Implicit, General and Singula...

Q: Change order of integration in iterated integral In 19 19 S S f(2,y) dy dz. e

A:             The given limits are y= ex to y=19 and the limits of x are x=0 to x= ln 19       The cha...

Q: Which of the functions graphed are one-to-one, andwhich are not?

A: Given : The function graphed is : y=f(x)=-3x3 We have to determine the given function is one -one o...

Q: Find the distance between the points . (1, 6, 3), (−2, 3, 5)

A: The given points are (1, 6, 3), (−2, 3, 5)

Q: graph it S2 if xs-1 41. f(x) = if x> -1 (1 - x ifxs 2 42. f(x) = if x> 2 (o if |x|s2 l3 if |x|> 2 43...

A: f(x)=2, x≤-1x2, x>-1    

Q: please solve D only, thank you

A: Using substitution we have 

Q: 3. Solve for y in the equation y = e* sin x + e* cos x - y +c

A: the given equation is y = ex sinx + ex cosx - y +c

Q: The functions fa)= X29 and go)=x-3 X+3 ge the sGme True O False K Quest

A:

Q: Find the sum of the series o (n+1)ª O 576/343 O 576/444 O 576/544 O 576/494 O 576/594

A: First split the series, then it is in simple format to get the answer. 

Q: Pls help

A: Using coplanarity conditions we have 

Q: Help with question #4

A: Given: fx=x2+3bx+2b2             if x<1 fx=x-1                             if x≥1 limx→1fx exist...

Q: Use l’Hôpital’s rule to find the limits

A: Since, we have to find the limits of the function given below:-limh→0 eh-(1+h)h2 -(i)

Q: A chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to o...

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.