Consider f(x)=3x−8  and g(x)=x2+16x+63 (f+g)(x)=

Q: Solve the following  trigonometric function for Theta is a subset of [0,(pi/2)] (cos^2(theta) sin^3 ...

A: The given trigonometric function is

Q: can i get help step by step with this problem

A: Given function is

Q: y=x/(x2+36) Find critical numbers

A:

Q: 2 31) Solve the equation for x: (x – 7)5 = 9

A: Consider the equation  

Q: Find the absolute maximum and minimum values of a function at the indicated interval f(x)=x^4-18x^2+...

A:

Q: Find the slope of the tangent line to the curve−4x^2+4xy−3y^3=−5at the point (1,−1).

A:

Q: in a time of t seconds, a particle moves a distance of s meters from its starting point, where s=4t^...

A:

Q: Antonio boards a Ferris wheel at the3-o'clock position and rides the Ferris wheel for multiple revol...

A:

Q: Find the derivative of the function g(t) = ((2t - 1)2) / ((3t + 2)4 )

A: We will need quotient rule. So assume u and v:

Q: Using partial fraction decomposition:

A: The given integral is,

Q: For a function f(x), we know that ?(20) = 68 and ?′(20) = −3. Estimate ?(21) and ?(25).

A: f (20) = 68 and f ′(20) = −3

Q: Sketch the region given by the set. (a)     {(x, y) | y < 5}

A:

Q: Suppose that the pairwise comparison method is used to determine the winner in an election.  If ther...

A:

Q: Evaluate the integral. Bes Valy brote x2 + x + 1 dx Jo (x + 1)2(x + 2)

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Q: Solve the equation graphically in the given interval. State each answer rounded to two decimals. (En...

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Q: I ALMOST know how to do this one, but I need help, please.

A: The first derivative of distance gives velocity. The second derivative of distance gives acceleratio...

Q: Can you please answer this question and show the work

A:

Q: Find the slope of the tangent line to the curve 2.2 2xy - 3y = 89 at the point (1, 3).

A:   Given curve,

Q: (a) The volume V of a growing spherical cell is V = 4ar3, where the radius is measured in micrometer...

A: The volume equation is given as, Average rate of change of V with respect to r is given as,    

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval....

A:

Q: Evaluate the integral. (Use C for the constant of integration.) COS s-1(x) dx

A: Let arccos(x)=t x=cos(t) dx=-sin(t)dt So the integral becomes - int t sin(t)dt =-t int sin(t)dt+int ...

Q: Solve e^(-2x)-3e^(-x)=-2 for x without using a calculating utility. [Hint: Rewrite the equation as a...

A: Consider the given equation e^(-2x)-3e^(-x)=-2   

Q: If h(x) h'(3) = 7 + 6f(x), where f(3) = 7 and f '(3) = 2, find h'(3).

A: Write h(x) using exponent. 

Q: Find the derivative of the following functions. y = sin2x / ex   The answer is y'= 2cos2x- sin2x / e...

A: Here the given trigonometric function is y = sin2x / ex . Apply the quotient rule in the given funct...

Q: .2 ax + sin b + sin cx + sin dx = 4. Find Q 9) a, b, c, d are constants such that lim0 %3D 3x2 + 5x1...

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Q: 104. The graph shows the height h (in meters) of a roller coaster t seconds after the ride starts. H...

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Q: 9 -x2 if x 1 .What value of c makes g(x) continuous at x = 1? Show all conclusions. 2 Vx-4 Using th...

A: For a function to be continuos, the left hand limit should be equal to the right hand limit. Therefo...

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan*(x) sec (x) dx

A:

Q: Differentiate

A: Given,

Q: Use implicit differentiation to find dy/dxy^2+8x^3=4y−3x^2

A: To find the differentiation of the given equation.

Q: Solve the equation. 16 25 7) B) (2} D) {-2} 1/2

A: To determine the solution of the equation.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: To find:  

Q: The point-slope form of the equation of the line with slope 5 passing through the point (1, 2) is

A: The given slope of a line passing through a point is,

Q: Logarithmic differentiation

A: To differentiate:  

Q: On question 13, a-h I'm getting answers that I don't think I worked out correctly, can you show me h...

A: Given that, To calculate the (gof) (x)

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

A: Graph the situation first The shaded area is rotating about the y=-5 line.

Q: The rate of change in revenue for DIRECTV from 2004 through 2013 can be modeled by dR/dt = 3.17 - 6....

A:

Q: x=y^2/2 and y=x-4 Find the volume of the solid when the region enclosed by the curves is rotated aro...

A: The given curves are,

Q: A toy racecar races along a circular race track that has a radius of 27 meters. The racecar starts a...

A:

Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: Find the solutions of the inequality by drawing appropriate graphs. State the answer rounded to two ...

A:

Q: Can i get step by step help with problem please

A: Given data:  

Q: find y-intercepts and x-intercepts 3x + 4y = 12

A: To find y intercept plug x=0 and find y. Answer: y intercrpt = 3  

Q: Can i get step by step help with this problem please

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Q: Calculate the partial derivatives ∂U/∂T and ∂T/∂U using implicit differentiation of (TU−V)^2(ln(W−UV...

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) =      1 2x...

A: The given function is

Q: use graphical approximation methods to find the point(s) of intersction of f(x)=e^x and g(x)=x^6 to ...

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Q: Find the partial fraction decomposition (4)/x(x-4)

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Q: Suppose f(x) = x2 if x ̸= 2 and is undefined at x = 2. The domain is (−∞,2)∪(2,∞). Find lim f (x). x...

A: The limit exists at x tends to 2 for f(x). First of all, consider the condition for the limit to exi...

Q: Evaluate the integral. (Use C for the constant of integration.) / Incv) In(Vx) dx

A: To evaluate the below integral Simplify it

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.