y(x) = (x - 1) + 1

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A:

Q: If f(x) = x2 + 3x - 1, find [f(a + h) - f(a)]/h.

A:

Q: Find the indefinite integral ∫ 1/(x − 5) dx

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Q: Analyzing slopes Use the points A, B, C, D, and E in the following graphs to answer these questions....

A: a) negative slope = D, E

Q: 5.4 Problem #4

A: Integrate W with respect to x as follows.

Q: Differentiate ysin(1/y)=1-xy

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Q: If exists, find the local maximum, minimum and inflection points of the function. f(x)= 2x3-72x2+648...

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Q: 5.4 Problem #21 Show how to approximate the required work by a Reimann sum. Then Express the work as...

A: To determine: The work needed to pump half of the water out of the aquarium where an aquarium 2 m lo...

Q: Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7).

A: The endpoints of the sphere we have, (7,9,9) and (3,5,7)

Q: 25-28 - The Component of u along v Find the component of u along v. 25. u = (4, 6), v = (3, –4) 26. ...

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Q: Evaluate the function f(x, y) = 2x − y + 3 at the given values of the independent variables. Simplif...

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Q: Find an antiderivative F(x) of the function f(x)= 7sinx / 12+cosx such that F(0)=1.

A: Now,

Q: 2- -9- -4 -2 Given the graph of f(z) above, find the following limits. To enter 00 in your answer fi...

A: To evaluate the given limits, the nature kf the graph is to be observed.  

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the near...

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Q: show that function  y1=x-1 is a special solution of the differential equation y'=1 - ( y-x+1)2 and f...

A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a solut...

Q: Find an antiderivative F(x) of the function f(x) = (8sinx) / (13 + cosx) such that F(0) = 1.

A:

Q: 8. sin x Find an antiderivative F(x) of the function f(x) = such that F(0) = 1. 14+ cos x

A:

Q: Find the principal unit normal vector r(t) = cos 3ti + 2 sin 3tj + k to the curve at the specified v...

A: To find the principal unit normal vector of r(t)=cos 3t i + 2 sin 3t j+k with t=π first differentiat...

Q: Fill in the blank so that the resulting statement is true.(f - g)(x) =_______.

A: From the properties of functions, we knwo that (f - g)(x) = f(x) - g(x)  

Q: r(t) = ⟨ 4 cos t, sin t, 2 cos t⟩

A:

Q: Find dy/dx if

A:

Q: When I’m trying to determine end behavior, it’s the coefficient of the leading term of a polynomial ...

A: No, it does not make any sense to say that while trying  to determine end behaviour, it’s the coeffi...

Q: Evaluate the definite integral.

A:

Q: Find the scalar and vector projections of b onto a. a = 3i - j+ 6k, b = j+k = j+ k compab = projąb =

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Q: a) Without using the shift formula prove that Laplace of f (t ) =e ^-at sinwt b) Solve the given sys...

A: since u have asked multiple questions  in single request so we will be answering only first question...

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Q: Hello Sir ! Please solve this question.

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Q: Using foil method, multiply the following: (2x2-x)(6-3x)

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Q: Hi, I'm doing my homework for Calc 2 and i'm on the chapter for applications of integrals. I'm still...

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Q: r=4costheta. Interval pi/4 lessthan/equal to theta less than or equal to 3pi/4

A: We need to draw the polar curve in the given interval.  

Q: Use one-sided limits to determine whether the following limit exists and its value. If the limit doe...

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Q: Find the area of the region bounded by the graphs of the given equations. y = x, y= 2 x The area is ...

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Q: Use a matrix to solve the system  -5x - y     = -4          y -2z= -5 x- 2y +z=5

A:

Q: Calculus Question

A: Given

Q: simplify the radical expression if possible:  3√x5

A:

Q: Please evaluate the integral

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Q: Graph the equation f(x) = (x2 - 1) / (x2 - 4) in a rectangular coordinate system.

A: For the x-intercepts, we set the numerator equal to 0. So, x=-1 and x=1.    To find the y-intercept ...

Q: If exist, find the local maximum, minimum and inflection points of the functions f(x)= 2x3-69x²+672x...

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Q: Find an antiderivative F(x) of the function f(x) 10 sin x such that F(0) 1. 17+ cosx

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Q: Divide using synthetic division (x4 - 256)/(x - 4).

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Q: How do we solve this precalculus questions in the figure below?

A:  

Q: 414 please

A:

Q: differentiate the functions and find the slope of thetangent line at the given value of the independ...

A: We differentiate both sides with respect to x  

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.