Consider the function f(x) whose graph is shown below. Determine the following: 5 lim f(r) a. b. lim f(x) c. lim f(a) d. lim f() -3 6. e. lim f(r)

Q: Problem is attached! Need help, Stuck! Please and thank you!

A:

Q: Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, en...

A: As we know that the limit of a function is valid when both the limit. RHL and LHL are equal. limx→af...

Q: dz

A: To evaluate the integral:1/(x^2+4) from -inf to inf

Q: Find dyldy and xz4 Sint, y² Scost, OCtca24 For which vakes Of t is Hhe cure concave puars? anguer n ...

A: x=4sint  , y=5cost

Q: Derive the equation of the ellipse b y* =1 a

A: Given: x2b2+y2a2=1

Q: Find the indicated vector. Let u - (-3,-7) --8, -1). Find -2u - 3v.

A: To find -2u-3v :

Q: Find the indefinite integral. (Use C for the constant of integration.) x8 + 24 dx 17

A:

Q: I was wondering if you could help me evaluate the limits.

A: limit 

Q: If f(x) = 2x? - 4x +9, find f'(2). (2) =O (Simplify your answer.)

A: Given,f(x)=2x2-4x+9;To find:f'(2) Solution: f(x)=2x2-4x+9Differentiating both sides w.r.t x we get:f...

Q: Problem is attached! Need help, Stuck! Please and thank you!

A:

Q: Find the equation of the line tangent to the graph of f(x) = (In x)“ at x = 8. (Type your answer in ...

A: From the given data:

Q: A company determines that is weekly online sales, S(t), in hundreds of dolars, t weeks after online ...

A: Explanation: Given that,  S(t)=7et and t = 1 to t = 5 Here we will find the Average rate of change. ...

Q: Write an equation for the polynomial graphed below 5+ 4 3- 1 -5 -4 3 -2 1 4 5 -2 -3 - -4 -5+ y(x) = ...

A: A polynomial is a function of the form anxn+an-1xn-1+···+a1x+a0 in the variable x. The degree of thi...

Q: Let f (x) = 2x² + 1 Find a function g (x)such that h (x) = ƒ o g(x) 2x2 + 12x + 19 O g (2) = x +3 O ...

A: Given fx=2x2+1. To find a function gx such that hx=f o gx=2x2+12x+19. Solution: A composite function...

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 5 and a root of multiplicity 1...

A: As we know that the equation of a polynomial having the roots at x=a,x=b, .. is : y=A(x-a)(x-b)...

Q: Given the function g(n) = (n – 7)(n + 3)(n – 4) its g-intercept is its n-intercepts are

A: gn=n-7n+3n-4

Q: Evaluate. (Be sure to check by differentiating!)

A:

Q: Calculus Question

A: Given: An object is moving along the x-axis. At t=0, v(t)=sin2t, for 0≤t≤3  

Q: 6,3 + 4x°y +5. 5. 2 Find the first partial derivatives of f(x, y) = 5x°y° + 4x°y +5. af dx II

A: Given: fx, y=5x6y3+4x5y2+5 To  Find: ∂f∂x=?  

Q: Let f(x) = 3-2x. Find f(-4). f(- 4) =]

A:

Q: Which of the following is a solution of the differential equation dy/dx+4y=0? Please show me the ste...

A:

Q: The resale value V, in dollars, of a certain car is a function of the number of years t since the ye...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Find each of the given integrals by hand. After substituting for the limits of integration, you may ...

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

A:

Q: Find the first partial derivatives for f(x,y)= 9x cos (3xy). of dx

A: To find the first partial derivatives  f(x,y) =9x cos 3xy

Q: Equation solution Set | 2x-3 | = 5 is? A. { - 1,4} B. { 1, - 4} C. { - 2, 1} D. { - 1}

A: We have absolute value function

Q: Evaluate. (Be sure to check by differentiating!) ex12 dx Determine a change of variables from x to u...

A:

Q: Evaluate the integral by reversing the order of integration e dxdy

A:

Q: Find the vectors that satisfy the given conditions

A: Explanation: Given that,  Vector u=-1,0 find the length of this vector  length of vector u = u=(-1)2...

Q: Find of / dx and of / dy. f(x,y) = g(t) dt (g continuous for all t) Find of / dx. Choose the correct...

A: The correct answer is option H. Given  fx,y=∫xygtdt This can be written as fx,y=∫xygtdt          =Gt...

Q: Answer the following question ( PART B)

A:

Q: *prove that P+2+3'+... + 4 for n= l,2,3g

A:   Definition used -       Induction method -         There are 3 steps -         In the first step, ...

Q: Differentiate. f(x) = 4 In x f'(x) =O

A:

Q: Suppose that in a memory experiment the rate of memorization is given by M'(t) = -0.003t^2 +0.4t whe...

A: Given rate of memorizing M'(t) = -0. 003t^2+0.4t  

Q: A linear function is given. Complete parts (a)-(d). 1 x-4 f(x) = 2x %3D (a) Determine the slope and ...

A: Given the functionf(x)=12x−4

Q: Use the Squeeze Theorem to find the limit of the ff. functions

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: a. Intervals of Increase / Decrease, MAX/MIN (table)b. Concavity, inflection point(s) (table) the fu...

A: The critical points of a function can be obtained by differentiating the function and equating it to...

Q: D(x) is the price, in dollars pwer unit that consumers are willing to pay for x units of an item, an...

A: Dx=-310x+10,  Sx=12x+2 a). Equilibrium point is the point at which, Dx=Sx⇒-310x+10=12x+2⇒310x+12x=10...

Q: Find an equation of the tangent line to the graph of fat the given point. f(x) X -

A:

Q: Problem is attached! Need help, Stuck! Please and thank you!

A:

Q: use the chain rule to find: 28) dv 2- COSxy + y cos x

A: Solution:Given   z= cos xy+ y cos xx=u2+v and y=u-v2To find :dzdvFormula:ddx(cos x)=-sin x(uv)'=uv'+...

Q: Find and show on the real number line the solutions set of the in equality. 1. l 7 - 4x l ≤ 9 2. l 3...

A: Since you have posted two questions, we will solve first question for you. To get another question t...

Q: Evaluate. (Be sure to check by differentiating!)

A: The solution for the above question is as shown below.

Q: Evaluate. (Be sure to check by differentiating!)

A:

Q: To produced x units of notebook, Aspen's notebook company finds its cost function as described by th...

A: Given- Cx=30x2+400x+50. To Find- The marginal cost function and marginal cost function after produci...

Q: Use the tabulated values off to evaluate the left and right Riemann sums for n= 10 over the interval...

A: we have to use tabulated values to evaluate the left and rightRiemann sum for n=10 over the interval...

Q: ® Intego ate Sim'x Cas'n dr

A: Given: ∫sin2xcos2x dx To find: The value of the integral.

Q: Find the derivative of f (x) = -7 tan (z). %3D Enclose arguments of functions in parentheses. For ex...

A:

Q: Evaluate 2y dy

A: In some cases an integral can be converted to a standard integral using an appropriate substitution....

Q: The tangent line to g(x)at x=3 is L(x)=7x−26 (see the diagram below). Find h′(3)where h(x)=(g(x))^4....

A: Given h(x) =(g(x)) ^4 To find h'(3) 

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.