lim f(x) y y = flx) 4-3-2 1 2 3 4 --2- -3- 4,

Q: its amplitude is its period is  its horizontal shift is

A:

Q: Consider the following. f(h, k) = (32h3 + 15h2 - 10h + 47) · (43k + 15) when h = 4.3, k = 3.8, and A...

A: Part (a) Given: f(h,k)=(32h3+15h2-10h+47)*(43k+15) Where h=4.3 , k=3.8. Substitutes h and k in given...

Q: find the equation of the curve passing through the point (0,2) and having slope x+ex-sinhx at point ...

A: our objective is to find the curve.

Q: Q: Solve the differential equation (D-2D+2)y=cos9x.

A: The given differential equation is solved below.

Q: 26. Solve for the constant of variation k: The variable w varies jointly as y and the square root of...

A: Given: w varies jointly as y and x and inversely as z                 ……1 where: Constant of variati...

Q: In the given equation find an equation of the line that is tangent to the graph of f and parallel to...

A:

Q: If you have a parametric equation grapher, graph the equations over the given intervals Hypotrochoid...

A: Given, x=6cos(2t)+5cos(6t)y=6sin(2t)-5sin(6t) 0≤t≤2π

Q: Graph each polynomial function.; f(x) =x3 + 8x2 + 11x - 20

A: Given, f(x)=x3+8x2+11x-20

Q: Suppose 8= is the only solution of a trigonometric equation in the interval 0se<2x. Assuming a perio...

A:

Q: Plot the points (2, 0,)( 2, - 3,) (2, 4,) (2, 1, )and( 2, - 1). Describe the set of all points of th...

A: Solution:Given To plot the points (2, 0,)( 2, - 3,) (2, 4,) (2, 1, )and( 2, - 1).To describe th set ...

Q: Use the rules of differentiation to find the derivative of the function

A: First note the following rule of differentiation (f(x)+g(x))'=f'(x)+g'(x). Another rule that will be...

Q: In Exercises 25-35, solve each system by the method of your choice. S5y = x² – 1 Sy = x + 2x + 1 25....

A: 25). Given equations are: 5y=x2-1                     ⋯1 x-y=1                              ⋯2 We wi...

Q: Question Nol: Find the domain and Range of the Functions a. f(x) = 3x+/x] | %3D Cos x b. g(x) = %3D ...

A: Given: a.f(x)=3x+|x|xb.g(x)=cos x1-sin x

Q: - 1 Find the intervals of monotonicity of the function f(x)= x²

A:

Q: Which x satisfies both |x − 3| &lt; 2 and |x − 5| &lt; 1?

A: An inequality can be simplified by adding a real number to both sides of the inequality without chan...

Q: Find the limits in Exercis

A: Solution: Consider the given limit function is: limθ→0sin θ cot 2θsince cot 2θ = cos 2θsin 2θ=limθ→0...

Q: "ind the indefinite integral. (Remember to use absolute values where appropriate. Use C for the cons...

A: To evaluate the indefinite integral: ∫x2x-8dx Solution: Degree of numerator is greater than denomina...

Q: 8. A retail outlet for calculators sells 800 calculators per year. It costs $2 to store one calculat...

A:

Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The li...

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what x-va...

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection p...

Q: If In a = 2, In b = 3, and In c 5, evaluate the following: %3D %3D a' (a) In (品) (b) In Vb°c*a³ %3D ...

A:

Q: The atmospheric pressure p on an object decreases with increasing height. This pressure, measured in...

A: Given: p(h)=760 e-0.14h

Q: Show that the normal line at any point on the circle x2+ y2 = r2  passes through the origin.

A: Consider the given equation of circle as x2+y2=r2

Q: Use exponential regression to fit the following data set. (Round your answers to two decimal places....

A:

Q: Find the exact value of each expression.

A:   Given :                The trigonometric expression is                               tancos-145+si...

Q: Show solution

A: Integration means addition it is used for adding continuous function which can't be added by simple ...

Q: EXAMPLE 3 Find the point on the parabola y - 4x that is closest to the point (2, 8). SOLUTION The di...

A:

Q: To test whether the graph of a polar equation may be symmetric with respect to the polar axis (x-axi...

A: To test whether the graph of a polar equation may be symmetric with respect to the polar axis (x-axi...

Q: cos (cos x) = x for every x in the interval

A: Consider the function f(x)=cosx, and then f-1(f(x))=x here x must be in the domain of f. 

Q: dx 1+ sin x

A:

Q: find dy / dx by implicit differentiation.

A:

Q: 2

A:

Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of th...

A: Given, fx=x2-36x-6

Q: Please show all work

A:

Q: Evaluate thefollowing Ihtegral using Ricmann sum with two subinter With equal Tehsth, Talke the Samp...

A:

Q: The energy E (in joules) radiated as seismic waves by an earthquake of Richter magnitude M satisfies...

A: Given the energy E (in joules) radiated as seismic waves by an earthquake of Richter magnitude M sat...

Q: Solve each exponential equation. Express irrational solutions in exact form;

A: The given equation is 1.2x=0.5-x

Q: List the elements of the set. The set of all outcomes of tossing a pair of distinguishable coins or ...

A: The answer is as follows :

Q: Evaluate the following integral: 1. sec^3x dx 2. sinx*ln|1+sinx|dx 3. (e^-x)cos2x dx

A: ∫sec3xdxApply integral reduction=sec2xsinx2+12·∫secxdx=sec2xsinx2+12lntanx+secxSimplifying, =12secxt...

Q: Limits with trigonometric functions Find the limits

A: Given  The limit is limx→0x2-12-cos x

Q: The number of liver transplants performed in a particular country in year x is approximated by f(x) ...

A:

Q: 9. Complete the statement below. cos (a+ B) = cos a cos B sin a sin B cos (a+ B)= cos a cos B (1). ....

A:

Q: Find an equation of the tangent plane at the given point. f (x, y) = sech(x − y),  (ln 4, ln 2)

A: The given surface is, fx,y=sechx-y. At the point, ln 4, ln 2. The equation of the tangent plane to t...

Q: EXAMPLE 5 Find the area of the largest rectangle that can be inscribed in a semicircle of radius r. ...

A: To find area of largest rectangle that can be inscribed in a semicircle with radius r.

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Please show all work

A: see 2nd and 3rd step.

Q: for what value of k ,the point (k,k),(2,3) and (4,-1) are collinear

A:

Q: Find the limit. Use l'Hospital's rule where applicable.

A:

Q: Q: Solve the differential equation (D-2D+2)y=cos9x.

A:

Q: y=−2sin(2t+π/3) The horizontal shift of the graph is

A: If the function is of the form y=asinbx-c+d , then  horizontal shift is defined as cb, if horizontal...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.