2. Examples: Construct examples of the thing(s) described inthe following. Try to find examples that are different thanany in the reading.(a) A pair of functions f and g for which f ◦ g happens tobe equal to g ◦ f .(b) A function f that is its own inverse.(c) A function f that is both even and odd.

Q: Find an equation of the tangent line to the parabola y − x2 - 8x + 9 at the point (3, -6).

A: The derivative of a curve at a point gives the slope of the tangent to the curve. It can be mathemat...

Q: Find the area between a large loop and the enclosed small loop of the curve r=4+8cos(3theta)

A:

Q: Find the unit vector in the same direction as v. v =2 i - j + k

A: A unit vector is a vector whose magnitude is one. That is a vector, ai+bj+ck is a unit vector if a2+...

Q: Find the exact value of each of the remaining trigonometric functions.

A: Given: sinθ=1213θ in quadrant II

Q: True or False u xv is a vector that is parallel to both u and v.

A: Whether the statement "u xv is a vector that is parallel to both u and v" is true or false.

Q: Calculate the double integral of f(x,y) over the triangle indicated in the following figure: y 4. 3 ...

A:

Q: In Problem,describe the set of points defined by the equation(s). y = 0

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Q: The length of a rod is 12 cm, and the measure of the linear density at a point is a linear function ...

A: Consider that length of the rod is 12 cm, linear density of the rod is linear function of the distan...

Q: (a) (arctan(n + 1) – arctan(n + 2)) n=0

A:

Q: given that f(x,y) = 6x^2y^3-cox(x)+5y-sin(y)+10x, establish the fact that, the order in which the se...

A:

Q: In Problem,the vector v has initial point P and terminal point Q.Write v in the form that is,find it...

A: If P(a,b), Q(c,d) Position vector=(c-a)i+(d-b)j

Q: Two circles of radius 3, with centers at (-2, 0) and (2, 0), intersect (see figure as attached here....

A: Given two circle intersect and centres are (-2,0) and (2,0) Radius =3To find Area of shaded region f...

Q: Calculate the average height above the x-axis of a point in the region 0 ≤ x ≤ 1, 0 ≤ y ≤ x^2.

A: Consider the given: To find:The average height above the x-axis of a point in the region0≤x≤1,0≤y≤x2...

Q: Calculus Question

A: for a part see 2nd,3rd and 4th step. for b part 

Q: Find each quantity if v=3i-5j+2k and w =2i + 3j - 2k.||v ||- ||w||

A:

Q: Calculus Question

A:

Q: Help please

A: From the given problem:   fx=4x2   From the limit definition of the derivatives:   dydx=limh→0fx+h-f...

Q: Q8) (Lines and Planes) Find the plane containing the intersecting lines L1: r = -1+ t, y = 2+t, z = ...

A:

Q: Drug Concentration The concentration C of a certain drugin a patient’s bloodstream t hours after inj...

A: Consider the given: Ct=t2t2+1Ct=tt2t2+1tCt=12t+1tFor Horizontal Asymptote:limt→∞Ct=limt→∞12t+1t     ...

Q: sinx siny dx + Cosx cosy dy = 0

A: Given: sin⁡xsin⁡ydx+cos⁡xcos⁡ydy=0 ⇒sin⁡xsin⁡ydx=-cos⁡xcos⁡ydy ⇒dydx=-sin⁡xsin⁡ycos⁡xcos⁡y ⇒dydx=-ta...

Q: determine if the relation defines y as a function of x

A: Given:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. n! n = 0 n!

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Q: In the given equation/s as follows , state the method of integration you would use to find each inte...

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Q: 2²z -3- af Z. = 0 Solve the Partial differential equation dx? using variable separable method

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Q: The marginal cost of producing the xth box of light bulbs is  10 − X/20000,  and the fixed cost is $...

A:

Q: Use the limit laws to evaluate the following limit. L'Hôpital's rule is not allowed. 1 sin 3x + lim ...

A: The solution is:

Q: A rancher has 204 meters of fencing from which to build two corrals: one square and the other rectan...

A: To find: The dimensions that result in the greatest combined area. Given information: A rancher has ...

Q: Compute the derivatives: d/dx [ f (x)/g (x)]

A:

Q: Two circles of radius 3, with centers at (-2, 0) and (2, 0), intersect (see figure as attached here ...

A: Given that, Two circles of radius 3, with centers at (-2, 0) and (2, 0), intersect.   The objective ...

Q: In Problems 64-75, solve each equation on the interval 0 s0 < 27. 1 64. cos 0 = 65. tan 0 + V3 = 0 6...

A: To solve the equation in interval: 0≤θ&lt;2π 64)cosθ=12 Solution: Given equation is: cosθ=12 On simp...

Q: To which coordinate plane is the plane y = 1 parallel?

A: The coordinate planes can be defined by the expression of the equation. The xy-plane is given by the...

Q: Use substitution to find the indefinite integral

A: Given ∫1xlnxdx

Q: Which of the following terms describes the derivative of a function at a point? a. a number b. an eq...

A:

Q: find the Po s at which the tang ent liae to the graph of funstion S)= x3-4x+ 5o has Slope equalta 30

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of agraph...

A: The slope of tangent to a curve y=fx  at point a,b is given by dydxx=a.

Q: Find the exact value of each logarithm without using a calculator. ln e3

A: Given : ln e3

Q: Use technology to approximate the given integral with (left) Riemann sums, using n = 10, n = 100, an...

A: Change definate integral into riemann sum

Q: Find all points where the function have any relative extrema. Identify any saddle points. ƒ(x, y) =...

A: Givenf(x,y)=x2+xy+y2-3x-5To find relative extrema and saddle points

Q: Obtain the solution of the following equations. x?dx + y(x – 1)dy = 0

A: It's a variable separable equation which can be solved as shown below...

Q: Verify that L’Hôpital’s Rule applies and evaluate the limit.

A:

Q: Physics: Uniform Motion A motorboat can maintain aconstant speed of 16 miles per hour relative to th...

A: Uniform Motion A motorboat can maintain a constant speed of 16 miles per hour relative to the water....

Q: Find the indefinite integral.

A: Given : ∫cos6xdx

Q: Find the derivatives of all orders of the functions in Exercises

A: Derivative of a function is defined as the change of variable with respect to another variable. Firs...

Q: Make a rough sketch of the graph of each function. Do  not use a calculator. Just use the graphs giv...

A: The given functions area) y=ln(-x)b) y=lnx

Q: How can you apply integral and differential calculus in real life situations

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Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as necessar...

A:

Q: The following graph shows the approximate number f'(t) of doctoral degrees per year awarded to women...

A: Given graph of f'(t)

Q: Help please

A: To evaluate the given limit using limit law  

Q: Question 14

A: (Since there are 4 sub-parts, we will answer first 3 sub-parts. Please re-submit the questions for t...

Q: find the absoute extrema for the function 5 (x )=9rX - 3x"on the given in tervalOL x < H

A: